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
Slope intercept form is y = mx + b
7 tickets for $5 means that 1 ticket costs 5/7 dollars
So for part a, the slope intercept form would be:

where x is the number of tickets, and y is the price.
For part b)
The slope intercept form is:

where x is the number of all you can ride wristbands you buy, and y is the total price.
The unit price is $6.25 because $43.75 divided by 7 is $6.25
When writing the equation keep in mind that 7 + x is said as a term that is squared so it has to be squared while it's still together; (7 + x)².