Athletes were doing a timed 100-metre dash. Athletes times were organized into a Normal Curve distribution of frequencies. If the mean was 10 seconds (µ), with a standard deviation of 2(σ), create the 1-2-3 curve. Place the actual research data values in the 1-2-3 curve sketch.

If an athlete got a time of 9 seconds (x), calculate their Z-score and place it on the curve.
Use the Z-tables to determine what percentage of the team was below the athlete and above the athlete

Answers

Answer 1

The Z-score for an athlete with a time of 9 seconds is -0.5. Approximately 30.85% of the team was below the athlete, and approximately 69.15% of the team was above the athlete based on the Z-score.

To create the 1-2-3 curve, we can use the mean (µ) and standard deviation (σ) to mark the values on the curve. The 1-2-3 curve represents the standard deviations away from the mean.

1-2-3 Curve:

1st Standard Deviation: Mean ± σ

2nd Standard Deviation: Mean ± 2σ

3rd Standard Deviation: Mean ± 3σ

We have that the mean (µ) is 10 seconds and the standard deviation (σ) is 2 seconds, we can mark the 1-2-3 curve as follows:

1st Standard Deviation: 8 to 12 seconds

2nd Standard Deviation: 6 to 14 seconds

3rd Standard Deviation: 4 to 16 seconds

If an athlete has a time of 9 seconds (x), we can calculate their Z-score using the formula: Z = (x - µ) / σ.

Z-score: (9 - 10) / 2 = -0.5

Placing the Z-score of -0.5 on the curve, we find that it falls between the mean and the first standard deviation (8 to 12 seconds).

To determine the percentage of the team below the athlete and above the athlete, we can use the Z-table. Looking up the Z-score of -0.5 in the table, we find that the area below the Z-score is 0.3085. This means that approximately 30.85% of the team's times were below the athlete's time of 9 seconds.

To compute the area above the Z-score, we subtract the area below from 1: 1 - 0.3085 = 0.6915. This indicates that approximately 69.15% of the team's times were above the athlete's time of 9 seconds.

Therefore, approximately 30.85% of the team was below the athlete, and approximately 69.15% of the team was above the athlete based on the Z-score of -0.5.

To know more about Z-score refer here:

https://brainly.com/question/30557336#

#SPJ11


Related Questions

"In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 320 infants using bednets, 10 developed malaria. Among 279 infants not using bednets, 24 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display." solve for the test statistic, p, and what is the conclusion result?

Answers

To test the claim that the incidence of malaria is lower for infants using bednets, a hypothesis test is conducted using the given data. The test statistic is calculated and compared to the critical value at a significance level of 0.01.

The null hypothesis (H0) assumes that the incidence of malaria is the same for infants using bednets and those not using bednets. The alternative hypothesis (Ha) suggests that the incidence of malaria is lower for infants using bednets.

To conduct the hypothesis test, the test statistic can be calculated using the formula:

test statistic (p) = (p1 - p2) / sqrt[(p(1 - p) / n1) + (p(1 - p) / n2)]

Where:

p1 = proportion of infants using bednets who developed malaria

p2 = proportion of infants not using bednets who developed malaria

n1 = number of infants using bednets

n2 = number of infants not using bednets

Using the given data, the test statistic is computed as:

p = (10/320) - (24/279) / sqrt[((10+24)/(320+279)) * (1 - ((10+24)/(320+279))) * ((1/320) + (1/279))]

By comparing the calculated test statistic with the critical value at a significance level of 0.01, a conclusion can be made regarding the effectiveness of bednets in reducing malaria incidence.

If the test statistic falls within the critical region (beyond the critical value), the null hypothesis is rejected in favor of the alternative hypothesis, indicating that the bednets appear to be effective in reducing malaria incidence. Conversely, if the test statistic does not fall within the critical region, there is not enough evidence to reject the null hypothesis, suggesting that the bednets may not be effective in reducing malaria incidence.

Learn more about test statistic (p) here:

https://brainly.com/question/30810251

#SPJ11

In your answers below, for the variable λ type the word lambda; for the derivative d/dx X(x) type X' ; for the double derivative d^2/dx^2 X(x) type X''; etc. Separate variables in the following partial differential equation for u(x,t): t^2uxx+x^2uxt−x^2ut=0

Answers

The final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To separate variables in the partial differential equation t²uxx + x²ux²t - x²zzut = 0, we assume that the solution can be written as a product of two functions, u(x, t) = X(x)T(t).

Let's begin by substituting this into the given equation:

t²(X''(x)T(t)) + x²(X(x)T'(t)) - x^2(X(x)T(t)) = 0

Now, we divide the equation by t²X(x)T(t) to separate the variables:

(X''(x) / X(x)) + (x^2 / t^2)(T'(t) / T(t)) - (x^2 / t^2) = 0

Next, we rearrange the terms:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = 0

To satisfy this equation for all x and t, the left-hand side and the right-hand side must be equal to a constant value. Let's call this constant -λ^2:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = -λ²

Now, we have two separate ordinary differential equations:

1. X''(x) / X(x) - x² / t² = -λ²

2. T'(t) / T(t) = λ²

Solving each equation separately will give us the general solutions for X(x) and T(t).

The general solution for u(x, t) can then be obtained by taking the product of X(x) and T(t):

u(x, t) = X(x)T(t)

The specific form of the solutions will depend on the boundary conditions or initial conditions given for the problem.

Hence, the final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

To learn more about the quadratic equation visit:

brainly.com/question/28038123

#SPJ4

The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?

Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75

Answers

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans

Answers

I think it’s gonna be 25%

rectangle has its vertices at M(1,1), N(6,1), O(6,5), P(1,5). The rectangle is translated to the left 4 units and down 3 units. What are the new coordinates? (Answer Format: M(#,#) N(#,#) O(#,#) P(#,#))

Answers

Answer:

7aabbbjdkdbdjdkxbsks n sbs

Jsksbakabkabdvdiavsjwkdbsbq

Suppose f(x, y) = x + , where 0 <= x <=1 0 <=y <= 2

Find P(Y - X< 1)

Answers

To determine the area of a region, we need to know the specific shape and dimensions of the region in question. The process for finding the area varies depending on the shape. P(Y - X < 1) = Area of region below y - x = 1 within the given constraints= 1/6 sq. units.

Given, f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2 We are to find P(Y - X < 1)

Now, Y - X < 1 is the equation of the line in the XY plane. We have to find the area of the region below this line within the given constraints. To find this, we have to integrate over the region below the line,

i.e.,y - x = 1 implies x = y - 1∫∫R (x + y)dA = ∫₀² ∫₀^(y-1) (x + y) dx dy= ∫₀² [(y²/2) - y + (1/2)] dy= 1/6 sq. units.

To Know more about Area of region visit:

https://brainly.com/question/32362619

#SPJ11

Answer:

Step-by-step explanation:

Given function f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2. The probability of P(Y - X < 1) is 1/4.

Now we have to find P(Y - X < 1).

The probability of (Y - X < 1) is given by:

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region R.

Here R is the region bounded by 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2.

We know that the function f(x, y) = x + y is a plane with slope 1, and intersects the y-axis at (0, 0) and the x-axis at (0, 0).

Now the line y - x = 1 intersects the plane at x = 0 and y = 1, so the intersection point is (0, 1).

Now the area of the region {(x, y): y - x < 1} can be found by finding the area of the triangle ABC as shown below: [tex]A=\frac{1}{2}Base×Height[/tex], Where base BC is of length 1 and height AB is of length 2 - 1 = 1.

Therefore, the area of the triangle ABC is:

Area of the triangle ABC = 1/2 × 1 × 1

= 1/2

The area of the region R can be found by finding the area of the rectangle with sides of length 1 and 2.

Therefore, the area of R is:

Area of R = 1 × 2

= 2

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region RP(Y - X < 1)

= (1/2) / 2P(Y - X < 1)

= 1/4

Therefore, P(Y - X < 1) = 1/4.

To know more about Probability, visit:

https://brainly.com/question/31828911

#SPJ11

240g in the ratio 5:3:2​

Answers

Answer:

120:72:48

Step-by-step explanation:

Remark

Whatever the answer is (call it x to begin with), the equation starts as

5x + 3x + 2x = 240

What this means is that when you solve for x the results when multiplied by the ratio, should add to 240

Equation

5x + 3x + 2x = 240

Solution

Combine all the terms on the left.

10x = 240                    Divide by 10

x = 240/10

x = 24

Check

5*24 = 1203*24 =  722*24 =  48Total = 240

Jada makes sparkling juice by mixing 3 cups sparkling water with 5 cups apple juice. a. How much sparkling water does Jada need if she uses 30 cups of apple juice? b. How much apple juice does Jada need if she uses 9 cups sparkling water?

Answers

Answer:

(A) 22

(B) 12

Step-by-step explanation:

Jada makes sparkling juice by mixing 3 cups of sparkling water and 5 cups of Apple juice

(A) Jada uses 30 cups of Apple juice,the amount of sparkling water needed is

3+5

= 8

30-8

= 22

(B) 9+3

= 12

The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?

Answers

1 seed packet = $1.50



Answers:

2 seed packets=$3.00
3 seed packets= $4.50
4 seed packets= $6.00
5 seed packets= $7.50

A coin was tossed 50 times and landed on tails 10 times. What is the Probability that will land on tail on the next toss.

Answers

Answer:

4/5

Step-by-step explanation:

50-10 = 40

40/50 = 4/5

the answer is 40/50

Step-by-step explanation:

50-10=40

it's easy

Write the equation of the circle.
Circle C that passes through (-5, 1) with center C(1,-4).

Answers

Answer:

answer is on this page

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answers

Answer:

Option B

Step-by-step explanation:

[tex](q + p)q = (s + r)s[/tex]

Lets open the brackets of L.H.S.

[tex]=> q^2 + pq = (s+ r)s[/tex]

Lets substract q² from both the sides.

[tex]=> q^2 + pq - q^2 = (s + r)s - q^2[/tex]

[tex]=> pq = (s + r)s - q^2[/tex]

Lets divide both the sides by q.

[tex]=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}[/tex]

[tex]=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q[/tex]

Find GCF (212, 96) and LCM (212, 96) using prime factoring.
Anyone know...

Answers

Answer:

8x12 and 2x2x53

Step-by-step explanation:

Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!

Answers

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

the intercept in the multiple regression model: group of answer choices should be excluded if one explanatory variable has negative values. determines the height of the regression line. should be excluded because the population regression function does not go through the origin. is statistically significant if it is larger than 1.96.

Answers

The incorrect statement is "the intercept in the multiple regression model should be excluded if one explanatory variable has negative values".

The intercept, also known as the constant term, represents the value of the dependent variable when all independent variables are equal to zero.

It is a necessary component of the regression equation regardless of the values of the independent variables. Excluding the intercept when one explanatory variable has negative values may result in biased and unreliable estimates.

The intercept does not determine the height of the regression line, but rather its slope and position. The slope represents the change in the dependent variable for a unit change in an independent variable, while the intercept represents the starting point of the regression line on the y-axis.

The intercept should not be excluded because the population regression function does not go through the origin. While some models may have a theoretical justification for excluding the intercept, such as when all independent variables are proportions or percentages that sum to one, it is generally advisable to include it.

The statistical significance of the intercept depends on its estimated value and standard error, as well as the chosen level of significance. A common level of significance is 0.05, which corresponds to a critical value of 1.96 for a two-tailed test.

If the absolute value of the t-statistic for the intercept is larger than 1.96, we can reject the null hypothesis that it is equal to zero at a 5% level of significance.

In summary, excluding the intercept in a multiple regression model based on negative values of an explanatory variable is not recommended, and its significance should be assessed based on its estimated value and standard error.

To know more about multiple regression model refer here:

https://brainly.com/question/25814703#

#SPJ11

Amber and her older brother Johnny were helping their father build a sand pit in their
backyard to go with the new swimming pool he just purchased. The sand pit is circular in
shape. The height of the p[it is to be 2 feet. The radius of the pit is to be 6 feet. If one 50
pound bag of sand covers.52ft of space, how many bags of sand will be needed to
completely fill the sand pit?

Answers

I hope you find the answers!

Given x=e−t and y=te8t, find the following derivatives as functions of t .
dy/dx = ________
d²y/dx² = ________

Answers

Answer:

[tex]\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}[/tex]

Step-by-step explanation:

The explanation is attached below.

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as

dy/dt = (d/dt) [t(e^(8t))]   [Using product rule]= te^(8t) + t * 8e^(8t)  

[Using the product rule again]= te^(8t) + 8te^(8t)  

[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.

Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]  

[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)

  [Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)  

[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)

 [Factorizing]= e^(8t) (16t + 1)

So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)

Thus, the values of derivatives as functions of t are:

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

To know more about product rules visit:

https://brainly.in/question/54183075

#SPJ11

Estimate the answers of these:
1. 489+1210
2. 3694-2016
3. 5082×312
4. 761÷34​

Answers

nana xbox ksnsnsnmakam 6

1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I

Answers

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

What is a volume?

Volume is the amount of space taken up by an object

What is the volume of a rectangle?

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

To check more about rectangular prism click here

https://brainly.com/question/21308855

#SPJ2

a little help pls this old i don't remember any of it

Answers

Answer:

Bowling ball

Step-by-step explanation:

A bowling ball has much more mass than all three of the other choices and the amount of kinetic energy is determined based on a object's mass and velocity, but in this case, all 4 balls are traveling at the same velocity. Therefore, we know that the bowling ball has much more mass so therefore it has the most kinetic energy.  

Find the surface area of the square pyramid shown below.

(15 points)

Answers

Answer:

340

Step-by-step explanation

Base=10x10=100

Sides= {(12x10)/2}x4=240

Add sides plus base, 240+100=340

This year, the ACT score of a randomly selected student is normally distributed with a mean of 24.4 points and a standard deviation of 4.7 points. Let XX be the ACT score of a randomly selected student and let ¯¯¯XX¯ be the average ACT score of a random sample of size 16.

1. Describe the probability distribution of XX and state its parameters μμ and σσ:

Answers

The probability distribution of the sample mean is approximately normal, with mean of 24.4 points and standard deviation of 1.175 points.

How to obtain the distribution?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The mean is the same as the population mean, of 24.4 points, while the shape is approximately normal.

The standard error is given as follows:

[tex]s = \frac{4.7}{\sqrt{16}} = 1.175[/tex]

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ4

M∠ACB = 52° , find m∠CBE =________°

Answers

Answer:

(1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º     (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

(2) Distance of point C from AB = 6 cm    (Radius of the circle)

(3) ∆ABC is a right triangle.

CA = 6 cm and AB = 6 cm

Using Pythagoras theorem, we have

BC2=AB2+CA2⇒BC=

62+62

⇒BC=6

2

 cm

Thus, d(B, C) = 6

2

cm

(4) In right ∆ABC, AB = CA = 6 cm

∴ ∠ACB = ∠ABC      (Equal sides have equal angles opposite to them)

Also, ∠ACB + ∠ABC = 90º            (Using angle sum property of triangle)

∴ 2∠ABC = 90º

⇒ ∠ABC =

90°

2

= 45º

Thus, the measure of ∠ABC is 45º.

Step-by-step explanation:

College admissions According to information from a college admissions office, 62% of the students there attended public high schools, 26% attended private high schools, 2% were home schooled, and the remaining students attended schools in other countries. Among this college's Honors Graduates last year there were 47 who came from public schools, 29 from private schools, 4 who had been home schooled, and 4 students from abroad. Is there any evidence that one type of high school might better equip students to attain high academic honors at this college? Test an appropriate hypothesis and state your conclusion.

Answers

To test whether one type of high school better equips students to attain high academic honors at a college, we can compare the observed proportions of Honors Graduates from different high school types to the expected proportions based on the overall distribution. Using a chi-squared test, the hypothesis test assesses whether the observed differences are statistically significant.

To test the hypothesis, we set up the null hypothesis (H0) that the type of high school attended does not affect the likelihood of attaining high academic honors. The alternative hypothesis (Ha) states that there is a significant association between high school type and academic honors.
Using the given information, we calculate the expected number of Honors Graduates for each high school type based on the overall distribution of high school attendance. Then, we compare the observed and expected frequencies using a chi-squared test. The test evaluates the difference between the observed and expected counts to determine if it is statistically significant.If the chi-squared test results in a p-value below a predetermined significance level (e.g., 0.05), we reject the null hypothesis, suggesting that there is evidence to support the alternative hypothesis.

This would indicate that one type of high school may better equip students to attain high academic honors at the college. Conversely, if the p-value is above the significance level, we fail to reject the null hypothesis, indicating that there is insufficient evidence to conclude a significant association between high school type and academic honors.
To draw a conclusion, we would need to perform the chi-squared test and compare the calculated p-value to the chosen significance level.

Learn more about chi-squared test here
https://brainly.com/question/30760432



#SPJ11

3. Your friend shows you a scale drawing of her apart-
ment. The drawing of the apartment is a rectangle
4 inches by 6 inches. Your friend wants to know the
length of the shorter side of the apartment. If she
knows that the length of the longer side of the apart-
ment is 30 feet, how many feet long is the shorter side
of her apartment?

Answers

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

can y'all help me pls ​

Answers

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

answer above^^ what the person said

find the area of a polygon with the vertices of (-4, 5), (-1, 5), (4, -3), and (-4, -3). suggestion: plot the points on graph paper and connect the vertices to form the polygon.

Answers

The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

To know more about area of the polygon, click here: brainly.com/question/25907039

#SPJ11

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Answers

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

At midnight, the temperature in Escondido was 68 degrees. The temperature was dropping at a steady rate of 2 degrees per hour. After how many hours was the temperature colder than -4 degrees?

Answers

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

What value of n makes the
equation n x 3/4= 3/16 true

Answers

Answer:

1/4

Step-by-step explanation:

Try it if you don't believe me :)

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

n x (3/4) = 3/16

The degree of the equation is one. Then the equation will be a linear equation.

Simplify the equation, then the value of the variable 'n' is calculated as,

n x (3/4) = 3/16

n = (3/16) x (4/3)

n = 4/16

n = 1/4

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ2

Other Questions
O A. negativeO B. parabolicO C. strongO D. weakWhich one is it Evaluate the function at the given value.h(x) = 1/3.6^x what is h(2)? Which substance provides the brain and body with glucose and energy? PLEASEEEEE ILL MARK BRAINIEST How did Ochoa feel about her travels in space?A) Keep you feet in the ground.B) The best place to be is home.C) You have to see it to believe it.D) Be a watcher, not a doer. Suppose you bought a stock for $38 a while ago and now, it isworth $50. When you bought the stock, the CPI index was at 130, andnow it is at 145. (no approximations answer to 2 decimalplaces) 16) A business pays weekly salaries on Friday of $25,000 for a five-day week ending on Friday. Assuming the fiscal period ends on a Wednesday, the adjusting entry for accrued salaries would involve a: A) debit to salary payable for $10,000. B) debit to salary expense for $15,000. C) credit to salary payable for $10,000. D) credit to salary expense for $15,000. recommend how as a grade 12 learner aspiring to work in the near future would avoid falling prey to the following reasons for unemployment:mismatch between the skills and job opportunities Question 1 (8 marks) You have been approached by the owner of Energy Boost who wants a bank reconcile statement to be prepared for the month ended 31 May 2022. The following information is produced by comparing the accounting records of Energy Boost with their bank statement received at the end of May: a. Debit balance as per cash at bank account in Energy Boost as at 31 May, $106,210 b. Credit balance as per bank statement as at 31 May, $141,624 c. Deposits not reflected on bank statement, $17,556 d. Unpresented cheques at 31 May, $52,370 e. Service charge on bank statement, $210 f. Interest earned on bank account, $105 8. Cheque for insurance expense, $7,520 incorrectly recorded in books as $8,275 h. A dishonoured cheque written by a client James Smith, $5,460 i. Electronic transfer from a customer Andy Jones of $5,410 The entity doesn't use special journals for record keeping. Required: a) Prepare a bank reconciliation statement for Energy Boost at 31 May 2022. (6 marks) b) Explain to the owner why a bank reconciliation is prepared. (2 marks) Ben weighs 41.9 kg. His older brother weighs 57.6 kg. How much more does his older brother weigh? Can someone help me! What can a person judge more clearly if he has established an ideal standard for American society? taylor watches his mother play the piano and then imitates his mother. what neurons in his brain are activated as he does so? Find the value of x. Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91 Jamal uses the line of best fit y = 700x + 38,000 to predict his annual salary, y, after x years.What is the y-intercept of the line of best fit and what is the meaning of the y-intercept? Jayden is trying to pick out an outfit for the first day of school. He can choose from 2pairs of pants, 3 t-shirts, and 6 pairs of shoes. How many different outfits doesJayden have to choose from? Which story problem COULD not be solved with a expression 3 1/2 x 1/3 Please help me :((((((( Which of the following is not true about multi-switch VLANs?A. The switches in the VLAN can send packets among themselves in a way that identifies the VLAN to which the frame belongs.B. In some multi-switch VLANs, a new VLAN packet encapsulates the Ethernet packet.C. VLAN configurations are limited to spanning over no more than two switches.D. In some multi-switch VLANs, the Ethernet frame is modified based on the emerging IEEE 802.1q standard.E. Several switches are used to build a VLAN