Answer:
a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Step-by-step explanation:
a) To approximate this distribution we have to calculate the mean and the standard distribution.
The mean is the proportion p=0.85.
The standard deviation can be calculates as:

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

The probability for this value of z is

The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

The probability for this value of z is

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Answer:
The difference in slopes of
is = 3
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = -7
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:


We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:

where
represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.

Slope = 2 and y-intercept =-2

Slope = -1 and y-intercept =5
The difference in slopes of
is = 
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = 
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
37/3 ^2 = 1369/9
15/2 ^2 = 225/4
1369/9 + 225/4 = 7501/36
sqaureroot of 7501/36 = 14.43
so closest to B. 14 3/5
Answer:
quotion is 104 and remainder is 6
Slope is 1/2. The equation to solve it is y2-y1 / x2-x1. I hope you understand it now :)