Answer:
The expected number of contracts the sales representative will get this week is 5.22
Step-by-step explanation:
For each client, there are only two possible outcomes. Either there is a sales contract, or there is not. The probability of having a sale contract with each client is independent of other clients. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

In this problem, we have that:

What is the expected number of contracts the sales representative will get this week?

The expected number of contracts the sales representative will get this week is 5.22
Answer: the third one
Step-by-step explanation:
Answer:
A = 26 ft²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr²
We know π = 3.14 and C = 18.
Use the circumference to find "r". C = 2πr
C = 2πr
18 = 2(3.14)r
18 = 6.28r
r = 18/6.28 Exact answer
r ≈ 2.866 Rounded to three decimal places
You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.
Substitute π = 3.14 and r = 2.866.
A = πr²
A = (3.14)(2.866)² Solve exponents first
A = 3.14(8.213956) Multiply
A = 25.7918218... Unrounded answer
A ≈ 26 Rounded to nearest square foot
Add the units back in.
<h3>A = 26 ft²</h3>
0 × <span>0 = 0
0 </span>× <span>1 = 0
1 </span>× <span>1 = 1
Which means multiplication is closed under {0, 1}
</span><span>1 </span>÷ <span>1 = 1
0 </span>÷ <span>1 = 0
</span>
Division is not closed under {0, 1}
1 + 1 = 2
Addition is not closed under {0, 1}
0 - 1 = -1
Subtraction is not closed under {0, 1} either
So it's only A. Multiplication which is closed under {0, 1}