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3 years ago

Answer:

Mathematics

1 answer:

tekilochka [14]3 years ago

5 0

Answer:

Grapes 12 lbs

Apples 20 lbs

Oranges 6 lbs

Cantaloupe 15 lbs

Peaches 15 lbs.

Step-by-step explanation:

Sammy has bought 12 lbs of Grapes.

Now, weight ration of Apples to Grapes is 5 : 3

Therefore, he bought Apples of $\frac{12 \times 5}{3} =20$ lbs

The wight ration of Grapes to Oranges is 4 : 2

Therefore, he bought Oranges of $\frac{12 \times 2}{4} =6$ lbs

Again, the weight ratio of Cantaloupe to Apples is 3 : 4

Therefore, he bought Cantaloupe of $\frac{20 \times 3}{4} =15$ lbs

Finally the weight ratio of Oranges to Peaches is 2 : 5

Therefore, he bought Peaches of $\frac{6 \times 5}{2} =15$ lbs

(Answer)

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Evaluate the integral: dx / e^(pie*x) from 2 (upper bound) to 0.

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Substitution:
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3 years ago

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

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Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are without replacement.

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

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Answer: hello your question is poorly written below is the complete question

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Step-by-step explanation:

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because parallel lines have the same slopes.

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