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2 years ago

Is 7/9 greater then 8/9

Mathematics

1 answer:

maksim [4K]2 years ago

6 0

No because 7/9= 0.777777777789 and 8/9= 0.888888888888889

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The total claim amount for a health insurance policy follows a distribution with density function 1 ( /1000) ( ) 1000 x fx e− =

gizmo_the_mogwai [7]

Answer:

the approximate probability that the insurance company will have claims exceeding the premiums collected is $\mathbf{P(X>1100n) = 0.158655}$

Step-by-step explanation:

The probability of the density function of the total claim amount for the health insurance policy is given as :

$f_x(x) = \dfrac{1}{1000}e^{\frac{-x}{1000}}, \ x> 0$

Thus, the expected total claim amount $\mu$ = 1000

The variance of the total claim amount $\sigma ^2 = 1000^2$

However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100

To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :

P(X > 1100 n )

where n = numbers of premium sold

$P (X> 1100n) = P (\dfrac{X - n \mu}{\sqrt{n \sigma ^2 }}> \dfrac{1100n - n \mu }{\sqrt{n \sigma^2}})$

$P(X>1100n) = P(Z> \dfrac{\sqrt{n}(1100-1000}{1000})$

$P(X>1100n) = P(Z> \dfrac{10*100}{1000})$

$P(X>1100n) = P(Z> 1) \\ \\ P(X>1100n) = 1-P ( Z \leq 1) \\ \\ P(X>1100n) =1- 0.841345$

$\mathbf{P(X>1100n) = 0.158655}$

Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is $\mathbf{P(X>1100n) = 0.158655}$

4 0

2 years ago

the water level in a plastic pool changed by -8 gallons each hour due to small hole in the bottom after6 hours the pool containe

Yuri [45]

x - 6(8) = 132

x = 48 + 132

x = 180

180 gallons was in the pool originally.

4 0

3 years ago

I need help with these.

sattari [20]

Answer:

See below.

Step-by-step explanation:

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x = 13

3^2 + x^2 = [sqrt(10)]^2

9 + x^2 = 10

x^2 = 1

x = 1

1^2 + x^2 = 4^2

1 + x^2 = 16

x^2 = 15

x = sqrt(15)

[sqrt(27)]^2 + x^2 = 6^2

27 + x^2 = 36

x^2 = 9

x = 3

15/5 = c/sqrt(29)

5c = 15 * sqrt(29)

c = 3sqrt(29)

26/13 = x/12

2 = x/12

x = 24

7 0

2 years ago

Please help i need to pass math class

Sloan [31]

Answer:

4. (B)

5. (C)

6. (C)

7. (B)

8. (B)

9. (D)

10. (B)

Hope this helps! Have a nice day!

Step-by-step explanation:

4 0

2 years ago

What is the rate unit of running 4 laps in one minute?

Y_Kistochka [10]

Answer:

laps per minute

Step-by-step explanation:

3 0

2 years ago

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