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2 years ago

Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?

Mathematics

1 answer:

nlexa [21]2 years ago

7 0

Answer:

3 balloon

Step-by-step explanation:

48 divide by 16

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Sophia pays £222 for a plane ticket.

Maurinko [17]

9514 1404 393

Answer:

24.6%

Step-by-step explanation:

The cost of the ticket in euros is ...

£222 × €1.38/(£1) = €306.36

Then the ratio of the tax to the to the total cost is ...

€100/(€306.36 +100) = 100/406.36 ≈ 24.6%

6 0

2 years ago

0.4166666667 as a fraction

mariarad [96]

416/100 is the answer

5 0

2 years ago

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

How can you tell from a table of values if a relationship is proportional?

dusya [7]

C- in the table every ratio y/x is equal so the relationship is proportional

4 0

2 years ago

Katie and Jennifer are playing a game. • Katie and Jennifer each started with 100 points. • At the end of each turn, Katie’s poi

Mrrafil [7]

The answer to this question is actually just simple arithmetic. At the end of the first round, Katie and Jenny will have 100 points each. In the second round, Katie and Jenny will have 200 points and 300 points respectively. At the third round, Katie and Jenny will both have 400 points. At the fourth round, Katie and Jenny will have 800 and 600 points respectively. So the turn at which Katie will have more points than Jenny is the fourth round since Katie has 800 and Jenny has 600.

4 0

2 years ago

Read 2 more answers