3 years ago

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

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4 years ago

What is the slope of the line that passes through the points (-2, -3), and (5, 4)?

fomenos

Hi!

<h3>To find the slope, use this formula</h3>

$\frac{y2-y1}{x2-x1}$

<h3>Put in the values</h3>

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Hope this helps! :)

-Peredhel

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3 years ago

Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.

olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

$z=\frac{x-\bar{x}}{\sigma}$

where

$\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}$

then we have

$\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}$

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

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1 year ago