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IgorLugansk [536]
4 years ago
6

David is 22 years old. He buys 100/300/50 liability insurance, collision insurance with a $100 deductible, and comprehensive ins

urance with a $500 deductible. What is his total annual premium?
Mathematics
1 answer:
sesenic [268]4 years ago
5 0

Answer:$2139.25

Step-by-step explanation: Took the test

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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution
ankoles [38]

Answer:

a) Normal Distribution

b) 0.146

c) 0.070

Step-by-step explanation:

We are given the following information in the question:

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4

a) \bar{x}: mean number of accidents per week at the intersection during a year (52 weeks)

According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.

Since we have a large sample, the approximate distribution of \bar{x} is a normal distribution with

\text{Mean} = 2.2\\\text{Standard Deviation} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.4}{\sqrt{52}} = 0.19

b) P(mean is less than 2)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(x > 610)

P( \bar{x} < 2) = P( z < \displaystyle\frac{2 - 2.2}{0.19}) = P(z < -1.052)

Calculation the value from standard normal z table, we have,  

P(\bar{x} < 2) = 0.146

c) P(fewer than 100 accidents at the intersection in a year)

P(x < 100)

P( \bar{x} < \frac{100}{52}) =P(\bar{x} < 1.92) =P(z < \displaystyle\frac{1.92 - 2.2}{0.19}) = P(z < -1.473)

Calculation the value from standard normal z table, we have,  

P(x

7 0
3 years ago
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts i
puteri [66]
The graph of f(x) = x^2 has only one x-intercept since its vertex is at the origin, (0,0) and it opens up. When comparing the graph of <span>g(x) = -x^2 -5 with the graph of f(x) = x^2, g(x) is the graph of f(x) first reflected in the x-axis and then translated 5 units down. The graph of g(x) has no x-intercepts since its a parabola that opens downward (result of reflection in x-axis) and its vertex at (0,-5) is situated below the x-axis.</span>
4 0
3 years ago
Plzzzzzzzzzzzzzzzz help meh tysm
anzhelika [568]

Answer:

4/10 and can be simplified to 2/5

Step-by-step explanation:

3 0
3 years ago
Please help desperate please due today
Tanzania [10]

Answer:

nyooooooooooom

Step-by-step explanation:

nyooooooom

3 0
3 years ago
A pyramid has a height of 8 inches and a volume of 120 cubic inches. Determine 2
Pie

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

3 0
3 years ago
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