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yawa3891 [41]
3 years ago
9

Prove the equation above is equal​

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

please look at the attached picture and I hope you understand because I made it really easy to understand

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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 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 = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs
Paladinen [302]

Answer:

20x+10y\ge 2000

Step-by-step explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

20x+10y\ge 2000

Note that x\ge 0,\ y\ge 0.

7 0
3 years ago
Which answer shows the FOIL method?
scoundrel [369]

Answer C

hope this helps :)

8 0
3 years ago
Read 2 more answers
Find the perimeter of a square of sides 10.5cm​
Agata [3.3K]

Answer:

Perimeter = 42 cm

Step-by-step explanation:

A square has all equal sides so you would just add 10.5 + 10.5 + 10.5 + 10.5 to get 42 cm.

3 0
3 years ago
Read 2 more answers
Dịch các câu sau đây thành các biểu thức logic bằng cách sử dụng các vị từ, lượng từ và các liên từ: a) Không có ai là hoàn hảo
levacccp [35]

Answer:

that's alot but no english speak english it is long

5 0
2 years ago
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