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vladimir1956 [14]

2 years ago

11

Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without th

e discount was $ and he paid $.

1 answer:

Julli [10]2 years ago

7 0

$200 without the discount and he payed $136.

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Gael and Torin don't want to take the garbage out, but their mom said one of them had to. Gael suggests they flip 2 coins to det

Alexandra [31]

Possible outcomes :

Heads Heads

Heads Tails

Tails Tails

Tails Heads

Probability of matching : 2/4 = 0.5

Torin should agree since the proposal is fair

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2 years ago

A plane intersects the center of a sphere with a volume of about 113.1 m3. What is the area of the cross section? Round to the n

ivolga24 [154]

Answer:

Step-by-step explanation:

$if ~radius=r \\volume =\frac{4}{3} \pi r^3\\113.1=\frac{4}{3} \pi r^3\\113.1 \times \frac{3}{4 \pi } =r^3\\\frac{339.3 }{4 \times 3.14} =r^3\\r^3=\frac{339.3}{12.56} \approx 27\\r=3\\area =\pi r^2=\pi *3^2=9\pi =9*3.14=28.26 \approx 28.3 ~m^2$

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2 years ago

The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s

Rus_ich [418]

Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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:

$\mu = 12.6, \sigma = 2.5$

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?

This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So

X = 12

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

$Z = \frac{12 - 12.6}{2.5}$

$Z = -0.24$

$Z = -0.24$ has a pvalue of 0.4052

X = 8

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

$Z = \frac{8 - 12.6}{2.5}$

$Z = -1.84$

$Z = -1.84$ has a pvalue of 0.0329

0.4052 - 0.0329 = 0.3723

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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2 years ago

F (7-3)2 x 7x+4 = 77, find the value of x.

bearhunter [10]

Answer: If I am correct the value of x might be f=0

Step-by-step explanation:

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A manager associated each employee's name with a number on one ball in a container, then drew balls without looking to select a

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Answer: This type of sampling is Simple Random Sampling

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