MrBillDoesMath!
Discussion:
For every value of x, g(x) = f(x) -1 meaning that the y-value of g(x) is 1 less than the corresponding y value of f(x). So the graph of g(x) is "below" f(x) or it is translated 1 unit downward from f(x)
MrB
Let
be the random variable for the number of marks a given student receives on the exam.
10% of students obtain more than 75 marks, so

where
follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

where
denotes the CDF of
, and
denotes the inverse CDF. We have

Similarly, because 20% of students obtain less than 40 marks, we have

so that

Then
are such that


and we find

Answer:
Center: (4,-13)
Radius: 17
Step-by-step explanation:
I guess you do not need an explanation, so I gave you only an answer.
3x3=9
9+5=14 hope this helps u
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.