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3 years ago

Use the Pythagorean Theorem to find the distance between points E and H. A) 3 2 B) 4 2 C) 14 D) 21

Mathematics

2 answers:

levacccp [35]3 years ago

5 0

Answer: A

Step-by-step explanation:

Vsevolod [243]3 years ago

3 0

Answer:A

Step-by-step explanation:

because i took the usatestprep

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The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event th

choli [55]

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

$f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500$

The function of the insurance is:

$I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.$

Hence, the variance of the insurance can also be an account forum.

$Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2$

here;

$E[I(x)] = \int f_x(x) I (x) \ sx$

$E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx$

$= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}$

$\dfrac{5}{12} \times 1250$

Similarly;

$E[I^2(x)] = \int f_x(x) I^2 (x) \ sx$

$E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx$

$= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}$

$\dfrac{5}{18} \times 1250^2$

∴

$Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}]$

Finally, the standard deviation of the insurance payment is:

$= \sqrt{Var(I(x))}$

$= 1250 \sqrt{\dfrac{5}{48}}$

≅ 404

4 0

3 years ago

3x+2=198<br>Solve it as Soon as possible!

Elena-2011 [213]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve for x ~

$3x + 2 = 198$

$3x = 198 - 2$

$3x = 196$

$\boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}$

3 0

2 years ago

Read 2 more answers

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one

Pie

Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon

7 0

3 years ago

Find the distance between the points given (3,4) (6,8)

maks197457 [2]

Answer:

The answer is 5

Step-by-step explanation:

Hope this helps

4 0

3 years ago

S is the midpoint of RT, RS = 2x + 4,<br> and RT = 8x. Find ST.

butalik [34]

Answer:

8 units

Step-by-step explanation:

Since S is the midpoint of RT,

RS+ ST= RT

RS= ST

2RS= RT

Substituting the given information,

2(2x +4)= 8x

Expand:

2(2x) +2(4)= 8x

4x +8= 8x

Bringing x terms to one side of the equation:

8x -4x= 8

Simplify:

4x= 8

Divide both sides by 4:

x= 8 ÷4

x= 2

= RS

= 2x +4

= 2(2) +4

= 4 +4

= 8 units

5 0

3 years ago