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Olenka [21]
3 years ago
7

In the given ∆ABC, DE || BC. What is the value of x?

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

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Step-by-step explanation:

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Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables
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Divide 132 by 16 to get 8.25 and you have to round up because you can’t fit 0.25 of people on a table.
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Please explain how to solve this<br> (12+5i) - (9-2i)<br> i have answers but dont understand
zloy xaker [14]

Answer: 3 + 7i

Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

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3 + 7i

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If you make $450 a month but 15% is held out of each paycheck for Social Security and taxes how much do bring home?
aksik [14]

To solve this question make an equation

450 x 0.15 = X

0.15 = the percentage taken out of the paycheck

67.5 = Social Security Taxes

450 - 67.5

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450 x 0.85 = $382.5

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3 0
3 years ago
If 20% of the people in a community use the emergency room at a hospital in one year, find
Pie

Answer:

a) 87.91% probability that at most three used the emergency room

b) 20.13% probability that exactly three used the emergency room.

c) 3.28% probability that at least five used the emergency room​

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Sample of 10 people:

This means that n = 10

20% of the people in a community use the emergency room at a hospital in one year

This means that p = 0.2

a) At most three used the emergency room

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684

P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020

P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791

87.91% probability that at most three used the emergency room

b) Exactly three used the emergency room

P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013

20.13% probability that exactly three used the emergency room.

c) At least five used the emergency room​

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

From 0 to 3, we already have in a).

P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328

3.28% probability that at least five used the emergency room​

4 0
3 years ago
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