Answer:
0.57926
Step-by-step explanation:
We have been given that the capacity of an elevator is 15 people or 2385 pounds. The people have weights that are normally distributed with a mean of 165 lb and a standard deviation of 30 lb. We are asked to find the probability that a randomly selected person has a weight greater than 159 pounds.
First of all, we will find z-score corresponding to 159 using z-score formula.
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![z=\frac{159-165}{30}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B159-165%7D%7B30%7D)
![z=\frac{-6}{30}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B-6%7D%7B30%7D)
![z=-0.2](https://tex.z-dn.net/?f=z%3D-0.2)
Now, we need to find area under normal distribution curve that is greater than z-score of
as: ![P(z>-0.2)](https://tex.z-dn.net/?f=P%28z%3E-0.2%29)
Using formula
, we will get:
![P(z>-0.2)=1-P(z](https://tex.z-dn.net/?f=P%28z%3E-0.2%29%3D1-P%28z%3C-0.2%29)
![P(z>-0.2)=1-0.42074](https://tex.z-dn.net/?f=P%28z%3E-0.2%29%3D1-0.42074)
![P(z>-0.2)=0.57926](https://tex.z-dn.net/?f=P%28z%3E-0.2%29%3D0.57926)
Therefore, the probability that if a person is randomly selected, his weight will be greater than 159 pounds, is 0.57926.
Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
It would be the fourth option - <span>The survey could be biased because people exiting an Italian restaurant might favor Italian food.
The survey is clearly biased because Sonya is selecting </span>a sample that isn't representative of the entire population. Surveying every tenth person exiting the restaurant isn't a problem since it's a type of <span>systematic sampling.</span>
Given:
2 minutes per day.
1 minute = 60 seconds
2 minutes = 120 seconds
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
2 minutes * 60seconds/minute = 120 seconds
In a day, there are 86,400 seconds
1 day * 24 hours/day * 60mins/hour * 60seconds/min = 86,400 seconds
Answer:
all work shown and pictured