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3 years ago

Factor -4 out of -8d+20

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

Answer:

-4(2d-5)

Step-by-step explanation:

-8d+20

-4(2d-5)

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Suppose that the population of deer in a state is 19,900 and is growing 3% each year. Predict the population after 10 years.

Vsevolod [243]

A=19,900×(1+0.03)^(10)
A=26,744

5 0

3 years ago

Read 2 more answers

Need helpp quickkk 14 points

Aneli [31]

Step-by-step explanation:

it is also the same process

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2 years ago

edna was walking the oregon trail in one day she walked 27 miles. it took her 9 hours what was her average speed

OLEGan [10]

Idk. Have fun with that stuff lol. Idk what to tell ya

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3 years ago

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

3 years ago

Write a linear equation representing the information shown in the table.

Law Incorporation [45]

Answer:

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

$k = \frac{y2 - y1}{x2 - x1}$

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

$k = \frac{0 - 5}{2 - 0}$

$k = \frac{ - 5}{2}$

Now you could insert k into the equation and it will look like this.

$y = \frac{ - 5}{2}x + m$

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

$- 5 = \frac{ - 5}{2} \times 0 + m$

m=-5

Try it with another point to see if you get the same answer. this time I'll pick (-6,10)

$10= \frac{ - 5}{2} \times( - 6)+ m$

m= -5

The equation will be y=-5/2x-5)

8 0

3 years ago