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What is the value of x? Enter your answer in - 1

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Answer 1
Answer:

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21


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According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts.a. What is the mean amount spent on insurance?
b. What is the standard deviation of the amount spent?
c. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year?
d. What is the probability a family spends more than $3,000 per year?

Answers

Answer: a. 2100

b. 981.5

c. 0.471

d. 0.235


Step-by-step explanation:

Given: According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance.

If the money spent is uniformly distributed between these amounts.

Let A=$400 and B= $3,800

a. The mean amount spent on insurance = (A+B)/(2)=(3800+400)/(2)=(4200)/(2)=\$2100

b. The standard deviation of the amount spent=

\sqrt{((B-A)^2)/(12)}\n=\sqrt{((3800-400)^2)/(12)}\n=\sqrt{((3400)^2)/(12)}

=(3400)/(√(12))=981.495\approx981.5

c. To calculate, the probability they spend less than $2,000 per year on insurance per year ,it means the amount is between 400 and 2000 i.e

Amount=$2000-$400=$1600

Then P(400<insurance amount<2000)=(amount)/(B-A)=(1600)/(3400)=0.4705\approx0.471

d. Ia a family spends more than $3000 then the amount is between $3000 and $3800, i.e. Amount= $3800-$3000=$800

Now,

P(3000<insurance amount<3800)=(800)/(3400)=(4)/(17)=0.235


a. Because of the uniform distribution, the mean = the middle of both numbers, or 1/2(3800 + 400) = $2100.
b. To find the standard deviation, we take the variance ((b-a)/√12) and plug in the values:
(3800 - 400)/√12
3400/√12
~981.5
c. Again, because of uniform distribution, we just have to find the percentage that all numbers less than 2000 have in the range of 400 to 3800. To make things simple, I'm going to subtract 400 from both 3800 and 2000 so the data cuts off at 0. The equation is:
1600 = 3400 * x
16/34 = x (simplified from 1600/3400)
8/17 = x
8/17 is about 0.47, or 47%, so that's your amount.
d. same thing with c, but slightly different:
3800 - 400 = 3400, 3000 - 400 = 2600
3400 - 2600 = 800
800 = 3400 * x
8/34 = x
4/17 = x
4/17 is about 0.235.


Can Someone please explain how to solve this. The directions say, "Solve the system by graphing. Then check your solution."​

Answers

Try this suggested solution (see the attached picture, the answer is [-2;1]).

1 step to drow the graph required in the condition;

2 step to find intersection point (this is the A point);

3 step, check stage, to solve the system of two equations.

4 to compare the results in step 2 and step 3.

IfGeometry SOHCAHTOA

Answers

In geometry, sohcahtoa is an easy way to remember what sine, cos and tan stand for



Soh is sine, which is equal to opposite over hpotenuse


Cah is cos which is equal to adjacent over hypotenuse


Toa is tan which is equal to opposite over adjacent


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what’s the missing exponent?

Answers

Answer:

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Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

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  (x^3)(x^a) = x^17

  x^(3+a) = x^17

Equating exponents, we get ...

  3 +a = 17

  a = 14

The missing exponent is 14.

Write the equation of the line passing through the points (7,6) and (5,6).The equation of the line is

Answers

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if you go on google, you can find an equation of the line calculator, where it will ask you to put in the values.