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3 years ago

Jeans are $20 for 2 pairs. Kerry spent $40 on jeans.How many pairs did she buy?

Mathematics

2 answers:

stiks02 [169]3 years ago

7 0

Kerry bought 2 pairs of jeans

Leona [35]3 years ago

5 0

Answer:Kerry would have bought 2 pairs of jeans

Step-by-step explanation:

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Identify the property. ( x + y ) + z = x + ( y + z )

klemol [59]

Answer: Associative Property

Step-by-step explanation:

4 0

3 years ago

A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w

DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 21.5, \sigma = 4.7$

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

$Z = \frac{X - \mu}{\sigma}$

$1.175 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.175*4.7$

$X = 27.0225$

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

$Z = \frac{X - \mu}{\sigma}$

$1.04 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.04*4.7$

$X = 26.388$

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0

3 years ago

Help help help help help

Ugo [173]

Answer:

I'm pretty sure it's c but I'm not sure

8 0

2 years ago

At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If

Anna35 [415]

Just add 126 + 9 = 135 easy

4 0

3 years ago

if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.

Marrrta [24]

Answer:

$\large\boxed{H=135\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

$V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

$\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm$

7 0

3 years ago

Jeans are $20 for 2 pairs. Kerry spent $40 on jeans.How many pairs did she buy?​

Jeans are $20 for 2 pairs. Kerry spent $40 on jeans.How many pairs did she buy?