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:
Part A:
(2x+7)(5x+9)
=(2x+7)(5x+9)
=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)
=10x2+18x+35x+63
=10x2+53x+63
A)
The formula for determining the area of a rectangle is given as
Area = length × width
Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is
(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18
Area = 10x² + 36x + 18
B)
The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.
C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.
Step-by-step explanation:
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
b= -32b+32
Step-by-step explanation:
You multiply the 8(-b-4) then multiply the b by 4
Answer:
y=1.25x+470
y=2.00x+350
Step-by-step explanation:
The linear equation form is y=mx+b so for m you but the amount that depends on x and b is the constant.