Answer:
the probability that the woman is taller than the man is 0.1423
Step-by-step explanation:
Given that :
the men's heights are normally distributed with mean
68
standard deviation
= 3.1
And
the women's heights are normally distributed with mean
65
standard deviation
= 2.8
We are to find the probability that the woman is taller than the man.
For woman now:
mean
= 65
standard deviation
= 2.8

![\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]](https://tex.z-dn.net/?f=%5C%5C%201%20-p%20%20%5C%20P%5B%28x%20-%20%5Cmu%20%29%20%2F%20%5Csigma%20%3C%20%2868-25%29%2F%202.8%5D)
= 1-P (z , 1.07)
Using z table,
= 1 - 0.8577
= 0.1423
Thus, the probability that the woman is taller than the man is 0.1423
Answer: The vertical stretch of 5 in the equation y = x is defined by
.
Explanation:
The given equation is,

It can be written as,

The function is defined as
.
If
, then the function has a vertical stretch by a factor of S units.
If
, then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.


The below figure shows the graph of y = x and
.
Answer: (-4, -2) and (6, -2)'s slope is 0, (2,9) and (2, -5)'s is undefined
Step-by-step explanation:
bro its not that hard, y1-y2 divided by x1-x2
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1