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3 years ago

The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

1 answer:

5 0

We can say L as length and W as the width

L= 3w + 8

The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation...

2(3w+8)+2w=88 Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88 Then subtract 16 from each side..
8w=72
w=9

So the width is 9, so we can substitue that into the previous equation, L = 3w+8.

L=3(9)+8
L=27+8
L=35, W=9

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The probability of a getting a new sales contract with any given client is 0.29. A sales representative works with 18 clients th

Radda [10]

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:

$E(X) = np$

In this problem, we have that:

$n = 18, p = 0.29$

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

$E(X) = np = 18*0.29 = 5.22$

The expected number of contracts the sales representative will get this week is 5.22

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3 years ago

Solve the problem . (x – 2) = –14(x – 8) 1) x=0 2)x=--5 1/3 3)x=-3 1/5 4)x=3 1/5

Mrrafil [7]

Answer:

x=38/5

Step-by-step explanation:

distribute

Add 2 to both sides of the equation

Simplify

8 0

2 years ago

3 different pairs of numbers that add together to get 1

photoshop1234 [79]

3 different pairs are...
0+1=1
-1+2=1
-2+3=1

8 0

3 years ago

Read 2 more answers

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two

kvv77 [185]

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°

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3 years ago

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Answer:

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Step-by-step explanation:

bhegsbdvsvdvdbrbdbr

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3 years ago