Ask question

Ask question

All categories

3 years ago

13

A person must be at least 42 inches tall to ride the Roller Coast at an amusement park. Let h represent the height of any person

who meets the requirement. Write an inequality that describes h.
A.h<=42

B.h<=-42

C.h>=42

D.h>=-42

1 answer:

asambeis [7]3 years ago

5 0

The meaning of the words "at least" mean that the value should be equal or greater than the certain number given. Let h be the height, the inequality that best represents the condition is,
h ≥ 42
This is equal to choice letter C.

You might be interested in

A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob

andriy [413]

Answer:

a) We need a sample size of at least 705.

b) We need a sample size of at least 1692.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

a) If she uses 1999 estimate of 11.8% obtained from the Current Population Survey.

We need a sample of size at least n

n is found when $M = 0.02, \pi = 0.118$ .

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.645\sqrt{\frac{0.118*0.882}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.118*0.882}$

$\sqrt{n} = \frac{1.645\sqrt{0.118*0.882}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.118*0.882}}{0.02})^{2}$

$n = 704.08$

Rounding up

We need a sample size of at least 705.

b) She does not use any estimate.

Same thing as above, we just use $\pi = 0.5$ when do not use any estimate.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{1.645\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 1691.2$

Rounding up

We need a sample size of at least 1692.

4 0

3 years ago

Write the fraction 9/54 in simplest form.

slamgirl [31]

Answer:

1/6

Step-by-step explanation:

Divide by 3

9/54 = 3 / 18

You can again divide by 3 for the answer

1/6

5 0

3 years ago

Read 2 more answers

How to simplify 12 to the 0 power

ra1l [238]

The answer is 1....................

3 0

3 years ago

Read 2 more answers

How do u do this? Pls help me!!

sergij07 [2.7K]

Answer:

8.6 but im not sure.

Step-by-step explanation:

5 squared + 7 squared = 74 square root = 8.6

4 0

3 years ago

Read 2 more answers

Someone please help me with this geometry question

shutvik [7]

Answer:

A parallelogram

Step-by-step explanation:

The opposite sides and angles are congruent.

7 0

3 years ago

Read 2 more answers