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2 years ago

Are these two lines parallel, perpendicular or neither? y = -1/3x - 5 y = 1/3x + 2

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

8 0

Parallel because they have the same slope

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Phil ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday. How much farther did phil run than Michael

djyliett [7]

Phil ran 2 7/8 miles more than micheal

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2 years ago

What is the Lateral area of this prism ?

Mazyrski [523]

Answer:

idk let me go look at it

Step-by-step explanation:

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2 years ago

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Is the number a rational number? Help me out please!

krek1111 [17]

Answer:

first answer

Step-by-step explanation:

Hi, this is correct because repeating decimals are rational numbers.

Rational numbers can be written by a fraction of integers.

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2 years ago

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

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2 years ago

#11. A) A person on the top of a burning building looks down at a firetruck at an angle of 35°. If

tamaranim1 [39]

Answer:

Location of a Fire Fire tower A is 30 kilometers due west of fire tower B. A fire is spotted from the towers, and the bearings from A and B are N76°W and N56°W respectively (see figure). Find the distance d of the fire from the line segment AB.

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Step-by-step explanation:

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2 years ago