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x =

Answer:

**Answer:**

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

4x=84

x=21

The function f(x) = 2x2 + 3 represents the rate of a boat traveling with the current in miles per hour. The function g(x) = x + 2 represents the time the boat traveled in hours. Solve (f • g)(2), and interpret the answer.

I need an explanation so I can understand this because am very confused

Please help so urgent

Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!

XYZW is a parallelogram with diagonals and that intersects at point A if YA=2t WA=3t-4 and XZ=5t find XA

I need an explanation so I can understand this because am very confused

Please help so urgent

Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!

XYZW is a parallelogram with diagonals and that intersects at point A if YA=2t WA=3t-4 and XZ=5t find XA

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?

**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 =

**b. ** The standard deviation of the amount spent=

**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)

**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)=

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.

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.

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.

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

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

**Answer:**

**Cos****z****is****28****/****35**

**Step-by-step explanation:**

what’s the missing exponent?

**Answer:**

14

**Step-by-step explanation:**

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

__

You have ...

(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**.

y=6 the answer needs to be 20 characters

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