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3 years ago

Elasticity is also called

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Another word for elasticity is also called D: responsiveness

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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

John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show

Maru [420]

Yes; his answer is correct.

John can do this by multiple ways, but most likely he just remembered this one. Here are some ways.

1. He used his fingers; he put 1 finger, then another finger, and got 2 fingers up. The answer is 2.

2. He remembered it; usually Kindergarteners learn this and this is very easy to remember.

3. He used the things around him; I have 1 crayon then add another, how many do I have? 2.

7 0

3 years ago

Who can help me with this

Flauer [41]

C - 0.15c is the same as 1c - 0.15c.
1 - 0.15 = 0.85.

Joe can also use 0.85c.

8 0

3 years ago

Solve for x please help me

MrMuchimi

X = 56 degrees because the sum of all the angles in a triangle is 180 degrees.

4 0

3 years ago

Prove cos a = 5/13 pls solve it and no link pls..........

Scorpion4ik [409]

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

3 0

2 years ago