How to set up the following question in the image below?

How To Set Up The Following Question In The Image Below?

Answers

Answer 1

The expected number of students that pick soda is 80

How to determine the expected number of students that pick Soda?

From the bar graph, we have the following parameters that can be used in our computation:

Ice cream = 40

Soda = 20

popsicle = 10

This means that the proportion of soda is

Soda = 20/(40 + 20 + 10)

Evaluate the sum

Soda = 20/70

So, we have

Soda = 2/7

For a group of 280 students, we have

Soda = 2/7 *280

Evaluate

Soda = 80

Hence, the number of students is 80

Read more about probability at

https://brainly.com/question/251701

#SPJ1


Related Questions

A spinner is divided into four sections, each in a different color, as shown below. A spinner is divided into 4 unequal parts. Each part is labeled with a color. From largest to smallest: Blue takes up almost half of the spinner. Red takes up a little more than a quarter of the spinner. Green takes up a little less than a quarter of the spinner. Yellow takes up about half of a quarter of the spinner. After the spinner is spun, the arrow points to one of the colors. Which statement about possible outcomes is true?

Answers

The true statement regarding the probabilities on the spinner is given as follows:

The probability that the spinner will point to yellow is less than 1/4.

What is a probability?

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for the spinner given in this problem, the probabilities are given by the fraction occupied by each area, as shown by the image given at the end of the answer.

From the text, these fractions, representing the probabilities, are given as follows:

Blue: around 1/2.Red: around 1/4.Green: around 1/4.Yellow: around 1/8.

Missing Information

The problem is given by the image shown at the end of the answer.

More can be learned about probabilities at https://brainly.com/question/24372153

#SPJ1

Damian works after school. Each day he earns a set amount, plus an hourly wage. The function f(x)=12 x+10 models the amount he earns each day for working x hours. How much does Damian earn on Friday if he works for 2.75 hours?
$=________

Answers

The amount earned by Damian on Friday, if The function f(x) = 12 x + 10, and he works for 2.75 hours, is $43.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The function f(x) = 12 x + 10, where x is working hours,

Calculate the amount by putting the value of x = 2.75 in the function as shown below,

f(x) = 12 × 2.75 + 10

f(x) = 33 + 10

f(x) = $43

Thus, the amount earned is $43.

To know more about function:

https://brainly.com/question/5975436

#SPJ1

draw a continuous region in a given region that is not a type 1 or type 2 region but can be split into one of eachDraw an example of a region that is(a) type I but not type II(b) type II but not type I

Answers

Type I regions- ∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions- ∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

What is the type I and type II regions?

Curves of type I can be described for yy in terms of xx and often "lay above and below" one another.

Type II curves, on the other hand, can be defined for xx in terms of yy and are more or less "left and right" of one another.

Type II regions can be divided into horizontal slices, but Type I regions can be divided into vertical slices.

When a location is simultaneously classified as Type I and Type II, you can choose to examine it in any manner.

Type I regions are regions that are bounded by vertical lines x=a and x=b, and curves y=g(x) and y=h(x), where we assume that g(x)<h(x) and a<b. Then we can integrate first over y and then over x:

∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx

Type II regions are bounded by horizontal lines y=c and y=d, and curves x=g(y) and x=h(y), where we assume that g(y)<h(y) and c<d. Then we can integrate first over x and then over y:

∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy

To learn more about type I and type II regions visit:

brainly.com/question/17228091

#SPJ4

Find the equation perpendicular to y=-2x+10 through (10,7)

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 10 ← is in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (10, 7 ) into the partial equation

7 = 5 + c ⇒ c = 7 - 5 = 2

y = [tex]\frac{1}{2}[/tex] x + 2 ← equation of perpendicular line

Can you please help me

Answers

Answer:

the first option

Step-by-step explanation:

in an "and" statement both parts need to be true, so that the overall condition is true.

is x = 6 a valid solution ?

no, it violates both, x <= -8 and x <= 4

is a value between -8 and 4 a valid solution like x = -2 ?

no, it violates x <= -8, even though it is true for x <= 4.

only values that are smaller or equal to -8 (like -9) are true for both.

and therefore the first answer option is correct.

Reese is taller than Gage. If r represents Reeses's height and g represents Gage's height, write an inequality that shows the relationship between thier heights

Answers

The inequality that shows the relationship between thier heights is g < r or r > g

How to determine the inequality that shows the relationship between thier heights

From the question, we have the following parameters that can be used in our computation:

Reese is taller than Gage.

Also, from the question; we have

Reeses's height = r

Gage's height = g

Because Reese is taller than Gage, then it means that

The value of r is greater  than the value of g

So, we have the following inequality expression

r > g

Also, we have

g < r

Hence, the inequality is g < r

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:

Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00

The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total increase recorded in the Work in Process account related to direct labor would be:

Garrison 17e Rechecks 2020-09-29

Multiple Choice
$241,800.
$256,000.
$248,000.
$249,600.
Group Ends

Answers

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor.

How to calculate labor cost ?

To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.

According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.

This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.

To learn more about direct labor costs refer :

https://brainly.com/question/26527325

#SPJ1

What is the discontinuity and zero of the function f of x equals x squared plus 5 times x minus 6 all over quantity x plus 6 end quantity question mark

a
Discontinuity at (−6, −7), zero at (−1, 0)

b
Discontinuity at (6, 5), zero at (−1, 0)

c
Discontinuity at (−6, −7), zero at (1, 0)

d
Discontinuity at (6, 5), zero at (1, 0)

Answers

The discontinuity of our given function is at point (-6, -7).

The zero of our given function is, (1, 0).

What is discontinuity and zero of the function?

A discontinuous function is a graph function that is not connected to any other functions. If the left-hand limit of f(x) and the right-hand limit of f(x) both exist but are not equal, then the function f(x) is said to have a discontinuity of the first kind at x = a.

The x-intercept(s) of the function's graph represent the real zero of the function.

Consider the given function,

[tex]f(x) = \frac{x^2+5x-6}{x+6}[/tex]

We know that a function is discontinuous, when its denominator is equal to zero.

To find the discontinuity for our given function, we will equate denominator to 0 as:

x + 6 = 0

    x = -6

Now simplify the given function.

[tex]f(x) = \frac{x^2+5x - 6}{x+6}\\ f(x) = \frac{x^2 +6x - x - 6}{x+6}\\ f(x) = \frac{x(x+6)-1(x+6)}{x+6}\\ f(x) = \frac{(x-1)(x+6)}{x+6} \\f(x) = x-1[/tex]

Take  y = x - 1

Since the denominator term is cancelled out, so our give function has a removable discontinuity.

Now, we will find value of y by substituting  x = -6

⇒ y = -6 - 1

   y = -7

Therefore, the discontinuity of our given function is at point (-6, -7).

Now, we will find zero of our given function by substituting  f(x) = 0,as zero of the function is the point, where graph intersects x-axis and value of y is 0 at x-axis:

⇒  0 = x - 1

x - 1 = 0

    x = 1

Therefore, the zero of our given function is, (1, 0).

To know more about discontinuity and zero of the function, click on the link

https://brainly.com/question/12810167

#SPJ1

Help ASAP FIRST ONE TO GIVE CORRECT ANSWER GET BRAINLYEST ANSWER Artists use different techniques to make their prints unique.
Which print displays the artist's use of the woodcut technique?

Answers

Answer:Printmaking is the process of creating artworks by the process of printing. It can be done on paper, brick, wood, and even metal.A lithographic is a planetographic process where the design is drawn into a flat stone and is prepared by use of metal. As per the paintings shows the artwork shows us the rhinosaruers. The painting is made from water and oil.Hence the painting B shows us the use of lithography.

The first person said it best:)

Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth.

Answers

The required butter she needed is given as 1.67 cups of butter.

As given in the question, Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels,

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the nutter need be x cups,
now,
Taking the ratio o butter to kernels
[1 / 2] / 3 = x / 10
x = 10 / 6
x = 1.67

Thus, As of the given proportion, she requires 1.67 cups of butter.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6

Answers

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

Learn more about linear equations at:

brainly.com/question/13763238

#SPJ1

Rewrite the expression as a single logarithm

Please help will give brainlist only if correct!

Answers

The correct option is (d) i.e. log [ √x × (x-1)^3 / ∛ (x+1)^2 ] is as the single logarithm.

What is logarithm?

Logarithm is a mathematical operation which is used to determine the exponential power of a number. It is the inverse operation of exponentiation. Logarithm is commonly used in calculus, algebra, and other areas of mathematics. It can also be used to solve problems involving exponents, roots, and powers. Logarithm is denoted by the symbol log, and is read as "log to the base". The base is the number which the logarithm is taken to. For example, log2 10 is the logarithm to the base 2 of 10. This is equivalent to saying "2 to the power of what equals 10?" The answer is that 2 raised to the power of 3 (2^3) would equal 10.

Given, log x / 2 + 3 [ log(x-1) - 2/9 log(x+1) ]

        = log √x + 3 log(x-1) - 2/3 log (x+1)            {∵ log x^a = a log x }

        = log √x + log (x-1)^3 - log (x+1)^2/3

        = log √x + log [(x-1)^3 / (x+1)^2/3]              {∵ log a - log b = log a/b }

        = log [√x × (x-1)^3 / (x+1)^2/3 ]

        = log [ √x × (x-1)^3 / ∛ (x+1)^2 ]

Hence, (d) is the correct option.

Learn more about Logarithm from the link given below:

https://brainly.com/question/25710806

#SPJ1

Solve the equation b/16 = -4 for b
-64
-4
4
64

Answers

Answer: -64

Step-by-step explanation:

To solve this equation, you need to isolate the b term on one side of the equation. You can do this by dividing both sides of the equation by 16. This will give you:

b/16 = (-4)

You can then divide both sides of the equation by -4 to get:

b/16 = -4

b/16 * -4 = -4 * -4

b = -64

Therefore, the solution to the equation is b = -64.

The length of a rectangle is 3 meters less than
twice its width. The area of the rectangle is
104 m²2. Find the dimensions of the rectangle.

Answers

Therefore, the length of a rectangle is 13m and width is 8m

What is area?

A region's size on a planar or curved surface is described mathematically as its area. In contrast to a plane region or plane's area, which refers to a form or planar lamina, a surface area is the size of an open surface or the edge of a three-dimensional object.

Here,

width=x

length=2x-3

Area =l x w

104=(2x-3)(x)

104=2x^2-3x

52=x^2-3/2(x)

52+9/16=x^2-3/2(x)+9/16

841/16=(x-3/4)^2

29/4=x-3/4

x=32/4

x= 8m

Thus width = 8m

length =  2(8)-3  = 13m

Therefore the length of a rectangle is 13m and width is 8m

To know more about area, visit

https://brainly.com/question/27683633

#SPJ1

Zendaya's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.6x+60y=7.6x+60, where yy represents the expected quiz score and xx represents hours spent on homework that week. What is the meaning of the xx-value when y=100y=100?

Answers

For the quiz score of 100, the time will be equal to 5.26 hours.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Given that the relationship can be represented by the equation y=7.6x+60. Here x is the time and y is the score of the quiz.

At the score of the quiz of 100, the value of x will be calculated as,

y = 7.6x+60

100 = 7.6x + 60

40 = 7.6x

x = 40 / 7.6

x = 5.26 hours

The meaning of the value of x = 5.26 hours is that for scoring 100 on the quiz the time will be 5.26 hours.

To know more about an expression follow

https://brainly.com/question/26600408

#SPJ1

Construct a confidence interval for p₁ -P2 at the given level of confidence.
x₁ = 355, n₁ = 536, x₂ =438, n₂ = 598, 99% confidence
The researchers are confident the difference between the two population proportions, p₁ - P₂, is between
(Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)

Answers

Using confidence interval concepts, it is found that the correct options are:A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.

Find the solution ?

There is a 99% chance that the mean of the population is between 14.3 and 30.4.

The interpretation of a x% confidence interval is that we are x% sure that the population mean is in the interval.

In this problem, 99% confidence interval for widget width is between 14.3 and 30.4, hence we are 99% sure that the population mean, that is, the mean width of all widgets is between 14.3 and 30.4, hence options A and C are correct.

To learn more about confidence interval refer

https://brainly.com/question/15712887

#SPJ1

Find the length of BD. Use that length of BC. Round to the nearest tenth

Answers

By means of trigonometric functions, the length of side BC is approximately equal to 11.6 centimeters.

How to determine a missing length in a system of triangles by trigonometric functions

In this problem we find a geometric system formed by two right triangles, from which we need to determine the exact measure of side BC. This can be done by means of trigonometric functions, that represents relationships between two sides of a right triangle:

sin θ = y / r

cos θ = x / r

tan θ = y / x

cot θ = x / y

sec θ = r / x

csc θ = r / y

Where:

r - Hypotenusex - Leg adjacent to the angle.y - Leg opposite to the angle.

First, obtain the length of side BD:

cos θ = BD / AB

BD = AB · cos θ

BD = 5 · cos 30°

BD = 5√3 / 2 cm

Second, calculate the length of side BC:

sin θ = BD / BC

BC = BD / sin θ

BC = 5√3 / 2 / sin 22°

BC ≈ 11.6 cm

To learn more on trigonometric functions: https://brainly.com/question/14434745

#SPJ1

Five years ago, you acquired a 30-year loan of $130,750, charging 6.6% annual interest, compounded monthly, and requiring monthly payments. At this time, interest rates on 15-year loans have dropped to 2.1% APR, compounded monthly, and you wish to refinance what you still owe with a new loan at this new rate. (a) How much (in dollars) will you be refinancing? Round your answer to the nearest dollar. (b) How much (in dollars) will your new monthly payment be after refinancing? Round your answer to the nearest cent.

Answers

Five years ago, you acquired a 30-year loan of $130,750, charging 6.6% annual interest, compounded monthly,

a) You will be refinancing $122536.

b) New monthly payment be after refinancing is

$794.1858 or 79 418.58 cents.

We have given that

Initial loan amount = $ 130,750

Number of year of loan = 30 year

Nomber of month of loan "n" = 30x12= 360

Annual interest rate = 6.6%

monthly rate "r" = 6.6% /12 =

monthly payment on the loan is

PMT= loan× r / [1 - (1+r)⁻ⁿ]

= $ 130750 X 12/(1 - (1+ 6.6%/12)⁻³⁶⁰)

= $719,125/(1- (1+0.0055) ⁻³⁶⁰

= $835.046

Monthly payment, $835.046 on initial loan.

Now after 5 years refinishing is done . So, amount and remaining balance is for 30-5 = 25 years and 25×12 = 300 months . The present value of unpaid monthly payment is

= PMT× ( (1 - (1+r)⁻ⁿ)/r)

= $835.046( 1 - (1+6.6%/12)⁻³⁰⁰/ 6.6%/12]

= $835.046× 196.74179

= $122536

Hence, amount refinanced is $122536.

b) New monthly payment will be on loan =$122536

Annual rate = 2.1%

monthly rate, r' = 2.1%/12

Number of years for refinancing = 15 years

Number of months , n' = 15× 12 = 180

Using the formula new monthly payment is

PMT = new loan× r'/ [1 - (1+r')⁻ⁿ´ ]

= $122536× 2.1%/12[ 1 - (1+2.1%/12)⁻¹⁸⁰]

= $214.43826/0.2700104

= $794.1858

Hence, new monthly payment is $794.1858.

To learn more about Monthly payment on loan, refer:

https://brainly.com/question/26174273

#SPJ4

(20points) Let A be a symmetric positive define matrix with Cholesky decomposition A = LLT = RTR. Prove that the lower triangular matrix L(or that the upper triangular matrix R) in the factorization is unique.

Answers

In the factorization, the bottom triangular matrix L is the only one.

What is Cholesky decomposition?

The exponent of a number indicates how many times it has been multiplied by itself.

Exponent-related issues can be solved using either exponent laws or exponent characteristics. When a number is repeated numerous times by itself, writing the product without the use of exponents becomes very difficult. Major exponentiation rules are also thought of as having these characteristics.

Given that A is a positively defined symmetric matrix with a Cholesky decomposition,

A = L[tex]L^{T}[/tex]  = [tex]R^{T} R[/tex]

Let A be our positive define symmetric matrix,

suppose A has Cholesky decomposition,

A = L₁L₂ = L₁L₂ , for L₁, L₂ lower triangular matrix with positive diagonal entries,

thus (A x ,x) = (Lx, Lx) = (Lx, Lx)

pick x = eₓ  the last coordinate vector,

then (Aₓ, x) = Axx = || L₁x||² = || L₂x||²

Given that L1, and L2 are lower triangular, which necessitates that their lower right entry be the same,

The Kth entry is currently the last row.

given by (L₁, eₓ, eₓ) = 1/√Axx (L₁eₓ, L₂eₓ) = 1/ Aₓ = (Aeₓ, eₓ)

so the last row of L₁, L₂ be the same,

we reduce our A to new (n - 1)x(n - 1) submatrix,

which will likewise be true, and then repeat the process to discover each row's unique value.

Thus, the inductive process shows that L1 = L2.

As a result, the factorization's bottom triangular matrix L is exclusive.

Learn more about Cholesky decomposition;

brainly.com/question/8009068

#SPJ1

Here are the dimensions of two designs for a sandbox for the primary playground. Each sandbox is a rectangular prism. One design is 3 m by 3 m by 30 cm.
A second design is 3.25 m by 3.25 m by 25 cm.
a) Sketcheachsandbox.Includeitsdimensions.
b) Compare the designs. For each design, calculate the area
of material needed to build it and the volume of sand
it will hold.
c) Whichsandboxshouldbebuilt?Justifyyouranswer.

Answers

The volume of the first and second designs are  2.7 m³ and 2.64 m³ so, the second design will hold more sand.

What is volume?

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

One design is 3 m by 3 m by 30 cm,

A second design is 3.25 m by 3.25 m by 25 cm,

Calculate the volume for the first design as shown below,

Volume of first design = 3 × 3  × 30/ 100   (1 m = 100 cm),

The volume of the first design = 270 / 100

The volume of the first design = 2.7 m³

Calculate the volume of the second design as shown below,

The volume of the second design = 3.25 × 3.25 × 25 / 100

The volume of the second design = 264.06 / 100

The volume of the second design = 2.64 m³

The difference in the volume of both designs = The volume of the first design - The volume of the second design

The difference in the volume of both designs = 2.7 - 2.64

The difference in the volume of both designs =0.06 m³

Thus, the first design will hold more volume of sand.

To know more about volume:

brainly.com/question/13807002

#SPJ1

In a network of 39 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 8 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)

Answers

The answer is 34 because 39 x 4 equals 156 - 8= 148 divided by 4 equals 34

The graph of the linear function passes through points (2, 44) and (5, 80). What is the equation of the function? PLEASE HELP!! I WILL MARK BRAINLIEST!!!

Answers

Answer:

y=12x+20

Step-by-step explanation:

Your question and a graph of picture are different. So I just considered your question.

m= (80-44)/(5-2) = 36/3=12

(y- y_1)=m(x-x_1)

(y-44)= 12(x-2)

y-44=12x-24

y= 12x-24+44

y=12x+20

Choose the function whose graph is given by:
A. y=-3.5cos x
B. y=3.5sin x
C. y=sin(3x)
D. y=2.5sin x

Answers

The function plotted in the graph is given by - g(x) = 3.5 sin(x)

What is sine function? What is sine series? What is law of sines?In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.Mathematically -

        [tex]$\sin \theta=\frac{a}{h}[/tex]

      {θ} = angle theta

      {a} = length of opposite side a

      {h} = length of hypotenuse h

The sine series is given as follows -

        [tex]${\displaystyle {\begin{aligned}\sin(x)&=x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\cdots \;= \sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2n+1)!}}x^{2n+1}\\[8pt]\end{aligned}}}[/tex]

The law of sines states that for an arbitrary triangle with sides [a],   [b] and [c] and angles opposite the sides [A], [B] and [C] -

        {sin(A) / a = sin(B) / b = sin(C) / c}

Given is a graph as shown in the image.

A sine function has its maximum value of [1] and the minimum value of [-1]. The given graph g(x), is a amplitude scaled version of the function f(x) given by -

f(x) = sin(x)

and

g(x) = Asin(x)

Here, [A] is equal to 3.5. So, the function g(x) is equal to -

g(x) = 3.5 sin(x)

Therefore, the function plotted in the graph is given by -

g(x) = 3.5 sin(x)

To solve more questions on sine function, visit the link below -

https://brainly.com/question/11881676

#SPJ1

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

y=-x-70
Hope this helps

a snail travels 5 meters in 20 minutes. He travels the same amount of time per meter. How long will it take him to travel 11 meters?

Answers

Answer:

Step-by-step explanation:rate = minute/meter => 20/5

so, 5/1 for rate

so for 11 meter,  (5m/1min)(11)

The answer is 55 minutes

You give a test to 100 students and determine the median of the scores. After grading the test you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The median of the new score distribution will be (less than, greater than or the same as) that of the original score distribution?

Answers

Answer:

R'>R

Step-by-step explanation:

To determine the range of the scores, we conduct a test of 100 students. After grading the test, we realized that the 10 students with the highest scores did exceptionally well. We decide to award these 10 students a bonus of 5 more points each. The range of the new score distribution will be greater than that of the original score distribution.

We know the range is defined by R

R = X(n) - X(1), where X(n) is the maximum value of the observed values, and X(1) is the minimum value of those observed values.

Here for this test study, we awarded 10 highest scorers extra 5 points each. Therefore our maximum observed value becomes X(n) + 5.  So, our range also becomes

R = X(n) + 5 - X(1)

So,  R'>R. Hence, the range of the new score will be greater than that of the original score distribution.

Which of the following choices can be considered binomial random variables? Choose all answers that apply: A Roll a fair die 5 times and let X = the number of rolls that land showing a "4". B Roll 5 fair dice at once and let Z = the number of dice that land showing an even value (2, 4, or 6). Roll 5 fair dice at once and let Y = the number of dice that land showing a "4"

Answers

The following are binomial random variable,

A)A Roll a fair die 5 times and X = the number of rolls that land showing a "4", is a binomial random variable.

B) Roll 5 fair dice at once and let Z = the number of dice that land showing an even value (2, 4, or 6), is a binomial random variable.

C) Roll 5 fair dice at once and let Y = the number of dice that land showing a "4" , is a binomial random variable.

A random binomial variable should satisfy the following conditions:

1. The number of trials are defined or fixed.

2. Each trial is independent of others.

3. The probability of success is same in all trials.

4. There should be only two outcomes in each trial.

Lets we evaluate the options based on the above conditions:

(A) Rolling fair dice 5 times have 5 trials, each rolling is independent, probability of 4 is 1/6 in all cases and the dice will either land 4 or will not land 4. So, X will have values from 0 to 5, 0 when dice doesn't land 4 even once in 5 rolls and 5 when dice land 4 in all rolls. This variable satisfies the condition to be a random binomial variable. So, X is a random binomial variable.

(B)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice with even number to all 5 dices with even number. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Z is a random binomial variable as it satisfies all the conditions.

(C)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice land with 4 to all 5 dices land with 4. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Y is a random binomial variable as it satisfies all the conditions.

To learn more about binomial random variable, refer:

https://brainly.com/question/23780714

#SPJ4

How much would you need to deposit in an account now in order to have $5,000.00 in the account in 1633 days?

Assume the account earns 42% simple interest.

You would need to deposit ___
in your account now.

Answers

You would need to deposit $2,500 in order to have $5,000.00 in the account in 1633 days.

1st method: This can be found by using the simple interest formula I=PRT. In this case, I=5000, P=2500, R=.42, and T=1633. Solving for I gives you the answer.

2nd Method: If you deposit $2,500 in an account now, you will have $5,000 in the account in 1633 days. $2,500 * 1.42 = $3,550 $3,550 + $2,500 = $6,050 $6,050 / 2 = $3,025

To know about simple interest, click here

https://brainly.com/question/25845758

100 points for this one

Answers

Answer:

C) x < - 11 or x > 8

---------------------------------------

First, solve the inequality:

|2x + 3| > 192x + 3 > 19 or 2x + 3 < - 192x > 16 or 2x < - 22x > 8 or x < - 11

This is option C (you have chosen it correctly).

Now, graph it:

Mark points - 11 and 8 on the number line with open circle, then shade to the left from point - 11 and to the right from point 8.

Answer:

x < -11  or  x > 8

Step-by-step explanation:

Given absolute value inequality:

[tex]|2x+3| > 19[/tex]

[tex]\boxed{\begin{minipage}{7.1 cm}\underline{Absolute rule}\\\\If\;\;$|u| > a,\;a > 0$\;\;then\;\;$u < -a$\;\;or\;\;$u > a$\\ \end{minipage}}[/tex]

Apply the absolute rule:

[tex]\underline{\sf Case\;1}\\\begin{aligned}2x+3& < -19\\2x& < -22\\x& < -11\end{aligned}[/tex]            [tex]\underline{\sf Case\;2}\\\begin{aligned}2x+3& > 19\\2x& > 16\\x& > 8\end{aligned}[/tex]

To graph the solution:

Place open circles at -11 and 8.Shade to the left of the open circle at -11.Shade to the right of the open circle at 8.

Let T(n) denote the nth term of a sequence t. if T(1) = 3, and T(n+1) = T(n) +5 for n>1, what are the first four terms of the sequence

Answers

Based on the given analysis where T(1) = 3, and T(n+1) = T(n) +5 for n>1, the first four terms of the sequence are 3, 7, 8, 9

What is the first four terms of the sequence?

First term, T(1) = 3

nth term, T(n+1) = T(n) +5 for n>1

Second term, T2 = T(n) +5

= 2 + 5

= 7

Third term, T3 = T(n) +5

= 3 + 5

= 8

Fourth term, T3 = T(n) +5

= 4 + 5

= 9

Therefore, the first four terms of the sequence are 3, 7, 8, 9

Read more on sequence:

https://brainly.com/question/6561461

#SPJ1

Other Questions
What acquisition completed the continental united states and ended manifest destiny? Who has authority in a theocracy government? What was the original purpose of Social Security ? Why Taj Mahal 22 rooms are locked? What are implied and expressed powers? In quickbooks, Before merging two sub-accounts, what do you need to check?A. Make sure that both accounts are inactive.B. Make sure the names are spelled the same.C. Make sure that one account is inactive.D. Make sure their account number is the same. The poly A tail is NOT added to an mRNA during RNA processing . How would this affect the mRNA's journey to the ribosome? 1 and 2 are vertical angles. If m1 = (5x + 12) and m2 = (6x - 11). Find m1. What is the purpose of a campaign strategy? Which of the following options should a Tax Professional select to determine the most beneficial education credit or deduction to calculate when a taxpayer, or dependent, has completed less than four years of postsecondary school and qualifies?O 1 "Optimize AOC, Lifetime".O 2 "Force AOC".O 3 "Force Lifetime".O 4 "No AOC Eligible". What are 4 characteristics of Gothic literature? how many grams of caco3 (ksp = 8.7 10-9) will dissolve in 230 ml of 0.0500 m ca(no3)2? a race car completes the final lap of a race on a 2-kilometer circular track. at the start of the lap, it crosses the line at 60 meters/second. it completes the lap 28.57 seconds later, crossing the line at 85 meters/second. calculate the displacement and average acceleration of the car along the track over the course of the final lap. Solve the system of equations graphed onthe coordinate axes below.y=-3x - 5y =4/3x-5 List the significant events of the light-independent reaction (Calvin Cycle). Include which reactants and products are involved. Highlight what will be released as a product. Be sure to include where the process occurs in the chloroplast. A box without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square corners with side length x inches. which expression represents the volume of the box in terms of x? while building a video campaign, your goal is to grow consideration for your brand. why would you use video ad sequencing to achieve that objective? How much lead is in pewter? Identify one key takeaway from the Circular Flow Diagram. Circular diagram with arrows that represent inputs and outputs from firms and households that show how they interact. Firms provide goods and services and households pay for the goods and services. Households provide labor and in return firms provide wages, salaries, and benefits. Select the correct answer below: Households often provide firms with capital for free. Households often receive freebies from firms. There are no free exchanges between firms and households. Households provide firms with goods. Ill give BRAINLIEST if correct I need asap question is in the photo attached