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3 years ago

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Jimmy gets a discount of 35% for a pair of sneakers whose original price is $70. He also gets a discount of 25% on a shirt whose

original price is $30. How much money does Jimmy save in all

2 answers:

antiseptic1488 [7]3 years ago

4 0

35%x$70+25%x$30=$24.50+$7.50=$32.00

ziro4ka [17]3 years ago

4 0

<span>a discount is equal to the original value multiplied by the discount so the discount on the sneakers is 70(0.35) and the discount on the shirt is 30(0.25) add those values together</span>

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Time spent using e-mail per session is normally distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that

liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 11, \sigma = 3$

a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 25, s = \frac{3}{\sqrt{25}} = 0.6$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.6}$

$Z = 0.33$

$Z = 0.33$ has a pvalue of 0.6293.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.6}$

$Z = -0.33$

$Z = -0.33$ has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.5 and 11 minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

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

$Z = \frac{11 - 11}{0.6}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

X = 10.5

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

$Z = \frac{10.5 - 11}{0.6}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 100, s = \frac{3}{\sqrt{100}} = 0.3$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0

3 years ago

If you have 21 cats and give 2 away how much will you have

nexus9112 [7]

Answer:

19

Step-by-step explanation:

21 - 2 is 19

5 0

3 years ago

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Q : <br> what 1:9 x 6 = ?

kow [346]

Answer:

the answer is $\frac{2}{3}$

Step-by-step explanation:

hope this helps :)

can I get brainliest plz

4 0

2 years ago

Read 2 more answers

Help me with khan geometry. (Explain or give answer no link to answer thx)

NikAS [45]

Answer:

$\boxed{\sf 200\pi}$

Step-by-step explanation:

We know that the volume of a cone:-

$\boxed{\sf \pi r^2\cfrac{h}{3}}$

(r = 10) (h = 6)

$\sf \pi \times 10^2\times\cfrac{6}{3}$

<u>Divide numbers:-</u>

$\sf \cfrac{6}{3}=\boxed{2}$

$\sf 10^2\times \:2\pi$

$\sf 100\times \:2\pi$

<u>Multiply numbers:-</u>

$\boxed{\sf 200\pi}$

Therefore, your answer is 200π³

We could also multiply 200 by 3.14 which will give you 628 units³.

7 0

2 years ago

HELPPP PLSSSS ITS ALMOST DUE IN 1 HOUR WILL GIVE BRAINLIEST THANKS AND 5 STARSSS

svp [43]

Answer:Its been 5 hours. so 85 - 82 = X. X times 0.6 = 5 then translate to 5 hours.

Step-by-step explanation:

7 0

2 years ago