Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2
<u>At Hayden's:</u>
<u>At Austins:</u>
![(5+8)= \ (first \ hour) = 13+8= \ 21 = (2nd \ hour) \ 21+8=29= \ \swarrow \\ \longrightarrow \ 29=(3rd \ hour)=\boxed{ 29+8= (37)= \ ((Forth \ hour))}](https://tex.z-dn.net/?f=%285%2B8%29%3D%20%5C%20%28first%20%5C%20hour%29%20%3D%2013%2B8%3D%20%5C%2021%20%3D%20%282nd%20%5C%20hour%29%20%5C%2021%2B8%3D29%3D%20%5C%20%5Cswarrow%20%5C%5C%20%5Clongrightarrow%20%5C%2029%3D%283rd%20%5C%20hour%29%3D%5Cboxed%7B%2029%2B8%3D%20%2837%29%3D%20%5C%20%28%28Forth%20%5C%20hour%29%29%7D)
As we can see in both results, it would take them
(4 hours) for the prices to be equaled.
Answer:
3.84% probability that it has a low birth weight
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 = 3466, \sigma = 546](https://tex.z-dn.net/?f=%5Cmu%20%3D%203466%2C%20%5Csigma%20%3D%20546)
If we randomly select a baby, what is the probability that it has a low birth weight?
This is the pvalue of Z when X = 2500. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{2500 - 3466}{546}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B2500%20-%203466%7D%7B546%7D)
![Z = -1.77](https://tex.z-dn.net/?f=Z%20%3D%20-1.77)
has a pvalue of 0.0384
3.84% probability that it has a low birth weight
Answer:
um OK
Step-by-step explanation:
f
The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.
Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100
Total selling price if earns $4 profit for each one sold = 4x
The expenses for running the machine are $45 per hour.
4x - 45 ≤ 100
4x ≤ 145
x ≤ 145/4
x ≤ 36.25
Number of sweater(estimate value) = 37
Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.
Learn more about the inequality here:
brainly.com/question/19491153
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