An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

Answers

Answer 1

Answer:

The insurance company can expect to make $900 on the policy

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence    [tex]{}[/tex]                 Probability        Value                                   v × p

A claim is made  [tex]{}[/tex]          0.1                  $5,000 - $1,400 = -$3,600    -$360

No claim  [tex]{}[/tex]                      0.9  [tex]{}[/tex]               $1,400                                     $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900                                                                                      


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The table below represents a linear function f(x) and the equation represents a function g(x):

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Answer:

Slope of f(x) is greater than slope of g(x)

g(x) has a greater y intercept

Step-by-step explanation:

Given

f(x) table

[tex]g(x) = 2x + 6[/tex]

Solving (a):

First, we determine the slope of f(x).

From the table, we take any two corresponding values of x and f(x).

Represent f(x) with y

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

The slope (m) is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]

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[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

Represent this with m1

[tex]m_1 = 6[/tex]

Calculating the slope of g(x).

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope.

We have that:

[tex]g(x) = 2x + 6[/tex]

By comparing  [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]

[tex]m = 2[/tex]

Represent this with m2

[tex]m_2 = 2[/tex]

Comparing both slope, we can say that:

f(x) has a greater than slope of g(x)

Another comparison is that:

Slope of f(x) is 3 times the slope of g(x)

Solving (b): Function with greater y intercept.

The general form of an equation is [tex]y = mx + b[/tex]

Where b represents the y intercept.

First, we need to determine the equation of f(x) using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that, from the table of f(x):

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

[tex]m_1 = 6[/tex]

So:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-12) = 6(x - (-1))[/tex]

[tex]y + 12 = 6(x +1)[/tex]

[tex]y + 12 = 6x +6[/tex]

Solve for y

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[tex]y = 6x - 6[/tex]

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Katie empties her purse and finds that it contains only nickels (worth 5 cents each) and dimes (worth 10
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Answers

Answer:

Step-by-step explanation:

2 dimes and 5 nickels

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Nickels: 5 × 5 = 25

Answer:

5 nickel and two dimes

Step-by-step explanation:

let let X be the number of Nickels

number of X is equals to 7 - x

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X= 5

thus nickel is 5 and dimes is 2

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B
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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A

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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ACB = 72

Step-by-step explanation:

OAD is straight line.

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THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle

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∠ACB = ∠AOB/2

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Answers

Answer:

Done!

Step-by-step explanation:

-6 - 7(4 + 3x)

Distribute;

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Answers

Answer:

x=-2/3,2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2 (3x - 2) - 4x + 1 = 9

Distribute the 2 to 3x and -2

6x - 4 - 4x + 1 = 9

Combine like terms

2x - 3 = 9

Add three to both sides

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Answers

Answer:

.3750

Step-by-step explanation:

sorry if this is wrong. I don't understand

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