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2 years ago

6

Tennis balls cost 7$ for a can of 3. Steve gives the cashier $40 to buy balls and receives $12 in change. How many tennis balls

did Steve buy?

1 answer:

Keith_Richards [23]2 years ago

6 0

4 cans. 12 tennis balls.

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

Ksju [112]

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 <u>without replacement.</u>

(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}$

5 0

2 years ago

Help me out plzz will give u brainliest

djyliett [7]

Answer: Option 3 = 4

Step-by-step explanation: f(x) = 6 - 2x

f(0) = 6 - 2(0) Range = 6

f(2) = 6 - 2(2) Range = 2

f(4) = 6 - 2(4) Range = -2

f(6) = 6 - 2(6) Range = -6

f(8) = 6 - 2(8) Range = -10

The only one that doesn't belong is 4 option 3.

You're welcome!!

Nighty Night!!!

8 0

2 years ago

Read 2 more answers

What is 11.4 rounded to the nearest tenth

mixas84 [53]

11.4 should be the answer
if you mean tens then it is 10

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2 years ago

It takes you 0.8 of a minute to read each page of your health book.It takes you 5.5 minutes to take the test at the end.How long

Nina [5.8K]

So you divide 0.8 by 6.25 and your answer is 7.8125 and then you add 5.5 minutes of your other number and you get the answer of 13.3125

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2 years ago

What value of x makes the equation -5x-(-7-4x)= -2(3x-4) true

ivanzaharov [21]

Answer: x=1/5 or 0.2

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2 years ago