Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
393216 times 4 because you could continue it on until u get to nine
Answer:
Expected Value = -$42 (loss of 42 dollars)
Step-by-step explanation:
Complete Question Below:
<em>"There is a 0.9986 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $182 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $110 comma 000 as a death benefit. If a 33-year-old male purchases the policy, what is his expected value?"</em>
<em />
We can say P(survival) = 0.9986 and thus P(not survival) = 1 - P(survival) = 1-0.9986 = 0.0014
Also,
In case 33 year old doesn't live, the payment would be 100,000 - 182 = $99,818
And
In case 33 year old lives, the payment is
-$182
We know, the <em>expected value is the sum of the product of each possibility with its probability.</em>

This means a loss of $42 (or -$42)
Answer:
x = 3, y = 7
or (3,7)
Step-by-step explanation:
We are given the system of equations below:

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.
By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

Then we substitute y = 2x+1 in the second equation.

Use the distribution property.

Isolate x-term to solve the equation.

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

Isolate and solve for y-term.

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)
Hence, the solution is (3,7)