Answer:
The expected value of each warranty sold is $23.8.
Step-by-step explanation:
0.8% probability of the product failling.
If the product fails, the company will lose 400 - 27 = $373. So a net value of -373.
100 - 0.8 = 99.2% probability of the product not failling.
If the product does not fail, the company gains $27.
What is the company's expected value of each warranty sold?
We multiply each outcome by its probability.
0.008*(-373) + 0.992*27 = 23.8
The expected value of each warranty sold is $23.8.
4x -(9-3x) = 8x-1
4x -9 + 3x = 8x-1
7x-9 = 8x-1
-9 + 1 = 8x-7x
-8 = x
x = -8
Answer:
Option A.
Step-by-step explanation:
Consider the given problem is

Using the properties of radical expressions we get
![[\because \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%7Ba%7D%7D%7B%5Csqrt%7Bb%7D%7D%5D)
![[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D%5D)

Taking out common factors.



The simplified form of given expression is 
Therefore, the correct option is A.
Answer:
<u>C. 1 to 7.99</u>
Step-by-step explanation:
Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.
As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:
<u>C. 1 to 7.99</u>
Answer: 17.7 Step-by-step explanation: There are 7 pairs of socks, and each cost $2.85. Multiply 2.85 with 7, and they add up to 19.95. The coupon takes off 2.25, therefore leaving the answer as 17.7.