MATHEMATICS COLLEGE

Over the last 100 business days, harry had 20 customers on 30 of those days, 25 customers on 20 days, 35 customers on 30 days, 40 customers on 10 days, and 45 customers on 10 days. what is the variance of the number of harry's customers?

Answers

Answer 1
Answer: Variance = sum of all x terms (x1 - mean of x)^2 / n
the mean is the average: 20 + 25 + 35 + 40 + 45 /5 = 165/5 = 33
v = (20-33)^2 / 5 + (25-33)^2 / 5 + (35-33)^2 / 5 + (40-33)^2 / 5 + (45-33)^2 / 5
v = 33.8 + 12.8 + 0.8 + 9.8 + 28.8
v = 86

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Answer:

1. Line g

2. Line j (not sure)

3. Plane S

4. 3 ( QT, QR, TR )

Step-by-step explanation:

What is the best way to organize a paragraph or passage about history of the cell phone

Answers

Answer:

Chronological Order

Step-by-step explanation:

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If James bought 5/12 of cherries and 1/3 of cranberries. How much fruit did he buy. Write your answer in simplest form.

Answers

Answer:

The correct result would be 3/4 of a pound of dried fruit.

Need answer please !!!!!

Answers

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9

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Answers

Answer:

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Step-by-step explanation:

Step 1:

0.17 = 17/100

Answer:

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Hope This Helps :)

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show this graphically.f(x) = e^x - 1
g(x) = In(x + 1)

Answers

Step-by-step explanation:

We need to show whether

f^(-1)(x) = g(x)

or

g^(-1)(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

ln((y+1)) = x

x=ln((y+1))

now we'll interchange the variables

y=ln((x+1))

this is the inverse of f(x)

f^(-1)(x)=ln((x+1))

and it does equal to g(x)

g(x)=ln((x+1))

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

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