Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Where
μ is the mean, x is a data of the population and
is the standard deviation
In this case

Then the z-score is

Answer:
y= 2x - 11
Step-by-step explanation:
(-7 +1 )/ (2-5) = 2
y= 2x +b
-1 = 2* 5 + b
solve for b and you get -11 so the equation of the line is :
y = 2x -11
Answer:
x = -1, x = 1
Step-by-step explanation:
Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!
Set it equal to 0.

Separate the two parenthetical expressions by the Zero Product Property.

Solve for x!

Answer:
Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.
98+456+29+381= 964
867-964= -97
His final balance would be -97
Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.
So here are the two options
1) At least one or at most 2 checks must’ve bounced
2) He got more money in his checking account
Given:
The radius of the cone = 14 ft
The slant height of the cone = 27 ft
To find the lateral surface area and the total surface area of the given cone.
Formula
The lateral surface area of the cone is
and
The total surface area of the cone is

where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
sq ft
or,
sq ft
Again,
sq ft
or,
sq ft
Hence,
The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.