A student surveyed some friends about their favorite type of ice cream. The results are shown in the bar graph below.



Part A: Choose one ice cream flavor. Determine the percentage of friends who named the flavor you chose. Show all necessary work. (3 points)

Part B: Based on the student's findings, are you able to determine that the most popular ice cream flavor for the general population is the Pistachio and Vanilla? Explain your reasoning. (2 points)

Answer:

A. [tex]n=100[/tex]
B. [tex]k=0[/tex]

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Answer:

m<CAD=m<CBD  -   alternate interior angles

Step-by-step explanation:

I'm not sure what the question wants you to put, but the way to solve this question would be to prove the angles are congruent, and then use CPCTC (corresponding parts of congruent triangles are congruent) to prove that BD= CA. I hope this helped!

Answer:

A: -1 B: 2 C: -4 1/2

Step-by-step explanation:

The waterbed mattress contains approximately 3,744 lb of water.

To calculate the weight of the water in the mattress, the volume of the mattress is first calculated using the given formula below:

The measurement of the waterbed mattress = 6ft by 5 ft by 2 ft

The volume of the waterbed = Length× width × height

That is = 6×5×2 = 60ft³

If 62.4 lb = 1 ft³

X lb = 60 ft³

Make X the subject of formula;

X = 60× 62.4 = 3,744lb

Therefore, the weight of water that the mattress will contain would be= 3,744lb

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Answer:

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

Tangent line is perpendicular to radius at the point of tangency.

It means the given is a right triangle.

Use Pythagorean theorem to find the missing side length.

One of legs is x, second leg is 15 units and the hypotenuse is the sum of 17 units and radius.

The table in this problem is completed as follows:

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The constant for the relationship is:

k = 16/2

k = 8.

Hence the equation is:

y = 8x.

In which:

Then the numeric values are:

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The limits on the vertical asymptotes of the function are given as follows:

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

On a graph, at the vertical asymptotes, the graph just approaches the point, it does not cross the point.

Hence the vertical asymptotes are given as follows:

x = -6, x = -2 and x = 2.

We must observe the limits to the left(denoted by the - sign) and to the right (denoted by the + sign) of each asymptote.

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Answer:

The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 1, so the correct answer is C.

Answer:

the maximal height is 14.75 units of distance.

Step-by-step explanation:

We want to find the maximum height of the function

h(t) = -16*t^2 + 24*t + 5

In order to find the maximum, we need to find the value of t where the derivate of h(t) is equal to zero, then we evaluate our original function in that time.

The derivate of h(t) (or the vertical velocity) is:

h'(t) = 2*(-16)*t + 24 = -32*t + 24

we want to find the value of such:

0 = -32*t +24

32*t = 24

t = 24/32 = 0.75

Now we evaluate our height function in that value.

h(0.75) = -16*0.75^2 + 25*0.75 + 5 = 14.75 units

Answer:

The value of the given equation is 3.

Step-by-step explanation:

If :

Find the value of 3(x - y) + xy

[tex] \longrightarrow{\sf{3(x - y) + xy}}[/tex]

Substituting the given values in the equation :

[tex] \longrightarrow{\sf{3 \bigg(5 - (-6) \bigg) + 5 \times - 6}}[/tex]

[tex] \longrightarrow{\sf{3 \bigg( 5 + 6 \bigg) - 30}}[/tex]

[tex] \longrightarrow{\sf{3 \bigg( 11 \bigg) - 30}}[/tex]

[tex] \longrightarrow{\sf{ 33 - 30}}[/tex]

[tex]\longrightarrow{\sf{\underline{\underline{ 3}}}}[/tex]

Hence, the value of the given equation is 3.

Answer:

see picture

Step-by-step explanation:

found an answer by someone else on brainly

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In total the disc thrown 29 yards.

Start at 0 on the number line and move 18 yards to the right to represent Jenna throwing the disc to Karl.

Then move 11 yards to the right to represent Karl throwing the disc to Alice.

The result shows that Jenna threw the disc 29 yards (18 + 11) in the same direction to Alice.

Therefore, in total the disc thrown 29 yards.

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234 of them said that body piercings and tattoos were big personal grooming red flags and the 99% confidence interval is 0.412 to 0.498.

a) Among the 514 human resource professionals who were surveyed, the number who said that body piercings and tattoos were big personal grooming red flags is:

45.5% of 514 = 0.455 × 514 ≈ 234

Rounding to the nearest integer, we get 234.

b) To construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags, we can use the following formula:

CI = p ± z√(p(1-p)/n)

where p is the sample proportion, n is the sample size, z is the critical value from the standard normal distribution corresponding to the desired confidence level (99% in this case), and √(p(1-p)/n) is the standard error of the proportion.

Substituting the values from the given information, we have:

p = 0.455

n = 514

z = 2.576 (from standard normal distribution table)

Using these values, we can calculate the confidence interval:

CI = 0.455 ± 2.576√(0.455(1-0.455)/514)

≈ 0.412 to 0.498

Therefore, we can be 99% confident that the true proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags lies between 0.412 and 0.498.

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The manager should charge $1200 for one bedroom unit and $1800 for two bedroom unit to maximize revenue.

To maximize revenue, the manager should charge the prices that will provide full occupancy. According to the market survey, for every $20 increase in price of one bedroom unit, one less customer will sign a lease.

Therefore, the manager should charge $1200 for one bedroom unit to maximize occupancy. Similarly, for every $60 increase in price of two bedrooms unit, two less customers will sign a lease.

Therefore, the manager should charge $1800 for two bedroom unit to maximize occupancy.

Therefore, the optimal rental price to maximize revenue is $1200 for one bedroom unit and $1800 for two bedroom unit.

Therefore, the manager should charge $1200 for one bedroom unit and $1800 for two bedroom unit to maximize revenue.

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Answer: ∠BEA

Step-by-step explanation:

Congruent: Same Angle Measure

Starting: ∠BHK

Congruent Angle: ∠BEA

Answer:

Step-by-step explanation:

they do not have enough time

Step-by-step explanation:

they do not have enough time

If f(x)=3x²−5 and g(x)=6x+1, then the value of (g∘f)(2) = 43.

What is function?

A connection or statement involving one or more variables is called a function. A set of inputs and outputs are present.

First, we need to find f(2):

f(2) = 3(2)² - 5

f(2) = 3(4) - 5

f(2) = 7

Now we need to apply g to f(2):

g(f(2)) = g(7) = 6(7) + 1 = 43

Therefore, (g∘f)(2) = 43.

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Answer:

[tex]the \: answer \: for \: the \: question \: is \: 50[/tex]

Answer:

±5 percentage points

Step-by-step explanation:

i can't really understand what was equal, because there isn't data about it.

But in case you really don't know it, the lower the margin of error of something is, the more confident you are it is correct, because the lower the error is, the more accurate it is to the theoretical result, so in this case it is ±5.

the height of the cup is approximately 6.2 centimeters. Rounded to the nearest tenth, this is 6.2 centimeters.

what is  Rounded to the nearest tenth ?

Rounded to the nearest tenth means to round a number to the nearest value that has one decimal place. To do this, we look at the digit in the second decimal place (the tenths place) and round up or down depending on whether that digit is greater than or less than 5.

In the given question,

We know that the volume (V) of a right cylinder is given by the formula:

V = πr²h

where r is the radius of the cylinder and h is its height.

We also know that the circumference (C) of a right cylinder is related to its radius (r) by the formula:

C = 2πr

From the given information, we can use the circumference to find the radius of the cylinder:

C = 2πr

18.3 = 2πr

r = 18.3 / (2π) ≈ 2.91

Now we can use the radius and the volume to find the height of the cylinder:

V = πr²h

221 = π(2.91)²h

h = 221 / (π(2.91)²) ≈ 6.2

Therefore, the height of the cup is approximately 6.2 centimeters. Rounded to the nearest tenth, this is 6.2 centimeters.

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Answer:

8%

Step-by-step explanation:

Answer:

the Indian cricket team played 13 matches after the first two weeks.

Step-by-step explanation:

Let's assume that the Indian cricket team played x matches after the first two weeks.

We know that the team won 50% of the matches played in the first two weeks. So, out of the 6 matches played in the first two weeks, they won 0.5*6 = 3 matches.

We also know that at the end of the series, their success rate was 75%. This means that out of the total number of matches played in the entire series, they won 75% of them. Let's say the total number of matches played in the series is y. Then, we can write:

Number of matches won = 0.5*6 + x (matches won in the first two weeks + matches won after the first two weeks)

Total number of matches played = 6 + x (matches played in the first two weeks + matches played after the first two weeks)

According to the given information, the success rate at the end of the series was 75%. So we can write:

Number of matches won / Total number of matches played = 75/100

Substituting the values, we get:

(0.5*6 + x) / (6 + x) = 75/100

Simplifying this equation, we get:

12 + 4x = 25 + 3x

x = 13

Therefore, the Indian cricket team played 13 matches after the first two weeks.

Answer: B

Step-by-step explanation:

First, you want to find out how many ounces of slime she filled per minute. So 75 containers that are 2 ounces each, 75 x 2 equals to 150 ounces. We know that she has filled 150 ounces in 50 minutes, so we'll divide this to figure out how many ounces she fills per minute. So 150 divided by 50 equals to 3 ounces filled per minute. Now we want to figure out how many ounces she would need to fill up the 450 containers. We'll multiply 450 by 2, which gives 900 ounces. We want to divide 900 ounces by 3 ounces per minute, in order to know how much time it would take to fill it up, which is 300 minutes. Because the answers are in hours, we'll divide 300 by 60 (total number of minutes in 1 hour) and the answer we get is 5. Therefore, it will take Kylie 5 hours to fill up 450 of the 2-ounce plastic containers.

To put it into numbers:

75 x 2 = 150

150 ÷ 50 = 3

450 x 2 = 900

900 ÷ 3 = 300

300 ÷ 60 = 5

(You could also use the total amounts in order to get the answer for this question. We know that it takes 50 minutes to fill 75 containers, so we divide 450 by 75. In turn, we get 6, now we multiply 50 minutes by 6 which still gives us 300 minutes. Divide 300 minutes by 6 and again we get 5 hours.)

In all honesty, this question first confused me when I read it. For example, are we taking into account the time she used to mix the slime into the 50 minutes? However, I thought that something is better than no answer at all, so I tried to work out an answer that was included in the options given (A, B, C, D). But I cannot say with 100% certainty that this may be the correct answer. It's your choice whether you want to use this explanation for your problem, so I sincerely hope that this helped you out.

The cost of the materials for the cheapest container is when width = 1.5 m

Given data ,

Let's use "w" metres to represent the rectangular storage container's width. The length would be "2w" metres since the base's length is twice as long as its width.

The container's height is indicated by the letter "h" metres.

Volume is determined by the following formula:

20 = (2w)(w)(h) 20 = 2w²h

The equation may be rearranged to represent "h" in terms of "w":

h = 20 / (2w²)

The container's "w" and "h" surface area is the next item to discuss. The surface area would be made up of the base and the four sides as the container has an open top.

We are given that the cost of material for the base is $20 per square meter and the cost of material for the sides is $3 per square meter

Cost of base material = 20 x 2w² = 40w² dollars

Cost of side material = 3 x 4wh = 12wh dollars

Total cost of material = Cost of base material + Cost of side material = 40w² + 12wh dollars

Now we can substitute the expression for "h" that we derived earlier:

Total cost of material = 40w^2 + 12w(20 / (2w²)) = 40w² + 120 / w

To find the value of "w" that minimizes the cost of material, we can take the derivative of the total cost of material with respect to "w" and set it equal to zero, then solve for "w":

d/dw (40w² + 120 / w) = 0

80w - 120 / w² = 0

On multiplying by w² on both sides , we get

80w = 120

Divide by 80 on both sides , we get

w = 3/4 m

Hence , the width of the rectangular box is w = 1.5 meter

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Answer: C. 1.87 deaths per 100,000 people

Step-by-step explanation:

To find the fatality rate, we need to divide the number of traffic fatalities by the total population and then multiply by 100,000.

Fatality rate = (Number of traffic fatalities / Total population) x 100,000

Plugging in the values given in the question:

Fatality rate = (19,261 / 103,000,000) x 100,000 = 1.87 deaths per 100,000 people.

Therefore, the correct option is C.

The equations that represent both scenarios are x + y > 100 and 2x + 5y ≥ 350

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

Let x represents the loaves of bread sold, and y represents the loaves of yeast bread sold.

She needs to sell over 100 loaves of bread, hence:

x + y > 100

Also, she needs to make at least $350, hence:

2x + 5y ≥ 350

Plotting both equations gives the graph attached.

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(4,7 ) are solution of linear  equations .

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

Solve the system of equations using elimination.

-2x + 3y = 13

x + y = 11

Multiply by 2

-2x + 3y = 13

2x + 2y = 22

  5y = 35

    y = 7

put in equation

x + y = 11

 x = 11 - 7  = 4

so (x,y) = (4,7 )

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Answer:

y = 2x + 1

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 )

here slope m = 2 and y- intercept c = 1 , then

y = 2x + 1 ← equation of line

The standard form of the equation, based on the foci and co - vertices would x ² / 250 + y ² / 25 = 1 .

The foci and co-vertices must be known to compose the equation of an ellipse, which requires determining a, b, and c values. The major axis, minor axis and distance between the center and foci are related to these variables.

Their connection can be symbolized as follows: a for major axis, b for minor axis, and c for the length of the distance between the center and foci:

a ² = b ² + c ²

a ² = 5 ² + 15 ²

a ² = 25 + 225

a ² = 250

a = √ 250

The standard equation would be:

x ² / a ² + y ² / b ² = 1

x ² / 250 + y ² / 25 = 1

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