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3 years ago

Use the figure to find the measure of the angle.Explain your reasoning.

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer: angle 2 is 28

Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28

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5 0

1 year ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago

The figure below shows two pair of congruent triangles. ΔDEF ≅ ______. ΔWXY ΔWYX ΔYWX ΔYXW

Alexandra [31]

Answer:

YXW

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Maurice averaged 79 points for 6 tests. How many more points must he score in the next text to raise his average to 80.

Lady bird [3.3K]

Answer:

86 is the score that Maurice must get to average his score to 80

8 0

2 years ago

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points) Part B: Write the equ

11Alexandr11 [23.1K]

Answer:

A. The approximate y intercept appears to be about 1.8 (slightly less than 2). What this tells us is that someone with 0 months of practice could expect to win around 1.8 games.

B. Using slope intercept form and assuming that the y intercept is at (0, 1.8), the equation can be solved for by finding the slope first and then putting the slope and the y intercept into the equation.

Slope (m):

points (0, 1.8) and (1, 3.0)

(Y2-y1)/(x2-x1)=(3.0-1.8)/(1-0)=1.2/1=1.2

Equation:

Y=mx+b

Y=1.2x+1.8

Step-by-step explanation:

5 0

3 years ago