Answer:
2d = 58 (If you are just finding d then d = 29)
Step-by-step explanation:
69 + 53 = 122
180 - 122 = 58
Answer:
B.
= -.7
Step-by-step explanation:
Replace all occurrences of − − with a single +. Two consecutive minus signs have the same mathematical meaning

Find the common denominator.

Simplify terms.

Simplify the numerator.

Reduce the expression by cancelling the common factors.

<em>hope this helps, good luck :)</em>
Answer:
Given:
- Sale prices at the Ajax Outlet Store are 50% below the original prices.
- On Saturdays, an additional discount of 20% off the sale price is given.
To find:
- The Saturday price of a coat whose original price is $180.
The formula used to calculate the percentage is (value/total value)*100%.
Step-by-step explanation:
Step 1 of 2
The original price of coat = $180
Ajax always sells at 50% discount
So their sale price = $90
Step 2 of 2
On Saturdays they sell 20% less
Which implies-
1/5*90 = 18
90-18=72
They sell at $72 on Saturday.
Answer:
a) 
And replacing we got:

b) ![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
We have the following distribution function:
Y 0 1 2 3
P(Y) 0.45 0.2 0.3 0.05
And we can calculate the expected value with the following formula:

And replacing we got:

Part b
For this case the new expected value would be given by:

And replacing we got
![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)