Answer:
70 inches
Step-by-step explanation:
10 in x 7 in =70 inches
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Peter has 4 friends. He invited them to his home. He ordered a pizza of his favorite and made it into 5 slices.
Few minutes later, one of his friends Smith came and they enjoyed one slice of pizza each.
Now, the question is what portion of the pizza left for his remaining friends?
Answer :
Peter made the pizza into 5 pieces.
So, ![1=\frac{5}{5}](https://tex.z-dn.net/?f=1%3D%5Cfrac%7B5%7D%7B5%7D)
Peter and Smith had
th of the pizza each.
So, the remaining portion = ![\frac{5}{5} -(\frac{1}{5}+\frac{1}{5})](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B5%7D%20-%28%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B5%7D%29)
![=\frac{5}{5} -\frac{2}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B5%7D%20-%5Cfrac%7B2%7D%7B5%7D)
![=\frac{3}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%7D%7B5%7D)
Here is your graph of y < 3x + 1.
Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
Using the z-distribution, the estimate for how much the drug will lower a typical patient's systolic blood pressure is:
![46.6 \leq \mu \leq 48](https://tex.z-dn.net/?f=46.6%20%5Cleq%20%5Cmu%20%5Cleq%2048)
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 80% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.28.
The other parameters are given by:
![\overline{x} = 47.3, \sigma = 15.9, n = 878](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%2047.3%2C%20%5Csigma%20%3D%2015.9%2C%20n%20%3D%20878)
Then the bounds of the interval are:
![\overline{x} - z\frac{\sigma}{\sqrt{n}} = 47.3 - 1.28\frac{15.9}{\sqrt{878}} = 46.6](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2047.3%20-%201.28%5Cfrac%7B15.9%7D%7B%5Csqrt%7B878%7D%7D%20%3D%2046.6)
![\overline{x} + z\frac{\sigma}{\sqrt{n}} = 47.3 + 1.28\frac{15.9}{\sqrt{878}} = 48](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2047.3%20%2B%201.28%5Cfrac%7B15.9%7D%7B%5Csqrt%7B878%7D%7D%20%3D%2048)
Hence the interval is:
![46.6 \leq \mu \leq 48](https://tex.z-dn.net/?f=46.6%20%5Cleq%20%5Cmu%20%5Cleq%2048)
More can be learned about the z-distribution at brainly.com/question/25890103
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