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2 years ago

11

Shaniqua is taking a test. After 20 minutes she has 35 questions left. After 40 minutes she has 15 questions left. If Shaniqua t

akes the same amount of time for each question how many questions are on the test

2 answers:

lana66690 [7]2 years ago

5 0

Answer:

55

Step-by-step explanation:

Effectus [21]2 years ago

4 0

There were 55 questions in the test.

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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

Write an equation for the both term of the arithmetic sequence 30,26,22,18

balandron [24]

Answer:

I guess it decreases by 4 everytime so -4??? If thats what your asking

Step-by-step explanation:

30,26,22,18,14,10,8,4,-2.

6 0

3 years ago

The sum of two numbers is x If one of the numbers is 12, what is the other?

neonofarm [45]

X-12 will give the other number

6 0

3 years ago

Read 2 more answers

Can I please get some help

Nitella [24]

Answer:

$f(3) = 3\\g(2) = -3\\g(\frac{1}{2}) = 1\\f(2) = \frac{2}{3}\\g(-2) = 0\\f(\pi) = 2\\$

Step-by-step explanation:

The functions are given f and g using coordinates.

Whenever we will ask for f(a), we look for "a" in the x coordinate of the function f and find the corresponding value. THAT IS THE ANSWER.

If we ask for g(b), we look for "b" in the x coordinate of the function g and find the corresponding value. THAT IS THE ANSWER.

So,

$f(3) = 3\\g(2) = -3\\g(\frac{1}{2}) = 1\\f(2) = \frac{2}{3}\\g(-2) = 0\\f(\pi) = 2\\$

5 0

3 years ago

PLEASE HELP ME FIGURE THIS OUT 1......

MA_775_DIABLO [31]

Make sure your calculator is in "Deg" <em>(degrees)</em>.
Input "32"
Click on the "sin" button.

Answer: 0.5514

*********************************************************************

Answer: tan θ

<u>Step-by-step explanation:</u>

cotθ * sin²θ * sec²θ

= $\frac{cos}{sin} * \frac{sin*sin}{1} * \frac{1}{cos*cos} = \frac{sin}{cos}$ = tan

8 0

2 years ago