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kirill115 [55]
3 years ago
9

If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.

Mathematics
2 answers:
MAXImum [283]3 years ago
8 0

Answer:

\Large \boxed{11.08}

Step-by-step explanation:

The triangles are congruent, we can use ratios to solve.

AD/DC = BE/EC

Let the length of EC be x.

6/14 = 4.75/x

Solve for x.

Cross multiply.

6 × x = 14 × 4.75

6x = 66.5

Divide both sides by 6.

(6x)/6 = (66.5)/6

x = 11.083333...

egoroff_w [7]3 years ago
8 0

Greetings from Brasil...

Here we can use similarities of triangles

AC/DC = BC/EC

20/14 = (4.75 + X)/X

X ≅ 11.1

see attachment

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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

7 0
3 years ago
How to simplify this
algol [13]
To simplify this, you would have to turn b^-2 into a positive exponent.
To do this, we have to flip b^-2, which would get rid of the negate from the exponent: -2

3a^4 b^-2 c^3 / b^-2

Then we get the answer:

3a^4 c^3
------------
   b^-2

I have a picture to clarify! 
I hope this helped, let me know if you don't understand! ^.^

6 0
2 years ago
What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches? 32
egoroff_w [7]

Answer:

720in

Step-by-step explanation:

V=LWH

V=(18)(4)(10)

7 0
2 years ago
Read 2 more answers
Describe some real-world situations that remind you of the coordinate plane.
Sloan [31]

Answer:

-The latitude and longitude lines on maps of the Earth

-Planning where to place different pieces of furniture in a room

4 0
3 years ago
Find the next two numbers in a pattern?<br><br> 7, - 28,112, - 448 __, __, . . .
Igoryamba

Answer:

1,792    -7168

the pattern is to multiply by -4

Step-by-step explanation:

7 · -4 = -28

-28 · -4 = 112

112 · -4 = -448

-448 · -4 = 1,792

1,792 · -4 = -7168

4 0
3 years ago
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