The difference between four times a number and six is -46

Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and

KengaRu [80]

Answer:

$150

Step-by-step explanation:

In this case, we have a random variable with four possible outcomes

0, 1000, 5000 and 10000

and four possible probabilities of occurrence

0.83, 0.10, 0.05 and 0.02

respectively.

The expectation of this random variable is (* means multiplication),

0.83*0 + 0.10*1000 + 0.05*5000 + 0.02*10000 = 100 + 250 + 200 = 550

This represents the amount of money the company expects to pay a customer in a given year.

As the deductible is $500, the customer would pay $500 in case of an accident, so the company would only have to pay

$550 - $500 = $50.

So, if the company wishes a profit of $100, the premium amount should be $150.

7 0

3 years ago

Y= - x+2 Y=3x-4 Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

$\frac{1}{2}=\frac{1}{2}$

8 0

4 years ago

5/6 - 1/3 Answers should be in the format 5/2 or 2/5. No decimals or mixed numbers.

uysha [10]

Answer:

Answer is 1/2

I clearly didn't understand the question u said it should be 5/2 or 2/5 or in fractional form

8 0

4 years ago

A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 i

slava [35]

Answer:

B

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How many irrational numbers are there between 1 and 6 ?

Neporo4naja [7]

Irrational numbers are numbers that cannot be expressed or represented as a ratio of two integers. Thus, the answer is K. Infinite many because there are infinite numbers that can be found between numbers 1 to 6; numbers that cannot be expressed as repeating decimals or so.

Think that between numbers 1 to 2 , there are many irrational numbers between same in numbers 2 to 3 , 3 to 4, 4 to 5 and 5 to 6.
Thus, There are infinite numbers of irrational number between numbers 1 to 6

5 0

4 years ago

Read 2 more answers