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nasty-shy [4]
2 years ago
10

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In

two months, each of you had made $224. How much profit did the shop make in the second month?
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0
Hello! I can help you with this! So, you and 3 friends are 4 people. You split $536. To find the amount each of you got, Do division. 536/4 is 134. Each friend got $134 in the first month. You made 224 in 2 months. Let’s subtract to see how much more each of them got. 224 - 134 is 90. Now, multiply by 4 to find out how much profit was made. 90 * 4 is 360. The shop made $360 in the second month.
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The answer is alternate interior angles theorem and substitution property of equality.

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Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,
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Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

k=y/x

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 Yes the selection of 15 is a binomial  experiment

b

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c

  P(r  =  5) =  0.1032

d

P(r \ge 1 ) =  0.9648

Step-by-step explanation:

considering question a

Generally for and experiment to be binomial

The trial must be independent

There must be only two outcomes for each trial

Generally given that that the 15 adults are selected randomly which mean that the trials will be independent and that desired outcome is ''ether the adult save something for retirement or the adult saves nothing for retirement ''

Then we can say that the selection of 15 adult at is a binomial experiment

Considering question b

Generally the probability that all of the adults save nothing for retirement is mathematically represented as

P(r =  n) =  ^nC_r * p^r *  q^{n-r}

Here C stands for combination

r = 15 i.e all the selected adults

      n is the sample size with value  15

From the question p = 0.20

and q is calculated as

q =  1 - p

=> q =  1 - 0.20

=> q =  0.80

So

P(r =  15) =  ^{15}C_{15} * p^{15} *  q^{15-15}

P(r =  15) =  3.2768 *10^{-11}

Considering question c

Generally the probability that exactly five of the selected adults save nothing for retirement is mathematically represented as

P(r  =  5) =  ^{15} C_5 * (0.20)^5 *  (0.80)^{15}

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Generally the probability that at least one of the selected adults saves nothing for retirement is mathematically represented as

P(r \ge 1 ) =  1 - P (r = 0 )

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P(r \ge 1 ) =  1 - 0.0352

P(r \ge 1 ) =  0.9648

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In the given sentence, the underlined portion('stepping from the embrace') is a participle phrase as it begins with a participle('present as it ends with 'ing') followed by the modifier prepositional phrase 'from the embrace'(as an adverb). It is <u>functioning as an adjective as it modifies the pronoun 'she' in the sentence</u>. Thus, <u>option A</u> is the correct answer.

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