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3 years ago

How far can you run in 5/7 of a hour if you run at a speed of 8 2/5 miles per hour

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

6 miles

Step-by-step explanation:

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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

3 years ago

Which problem can we solve with 27 : 3?

N76 [4]

Answer:

La Tasha has 27 rabbit stickers. She splits the stickers

evenly among 3 pieces of paper. How many stickers

did La Tasha put on each piece of paper?

Step-by-step explanation:

6 0

3 years ago

Martha measures the big prize wheel on a game show and calculates that it has a circumference of 12.56 yards. What is the prize

trasher [3.6K]

The radius is 2 yards...
Formula for circumference is $\pi r^2$ so divide your circumference by 3.14 or pi and you get 4 the square root of 4 is 2.

Hope this helps!

7 0

3 years ago

Solve for x (Angle relationship in Circles)

makkiz [27]

Step-by-step explanation:

$180 \degree - 102 \degree = \frac{1}{2} (x + 95\degree) \\ \\ \therefore \: 72 \degree = \frac{1}{2} (x + 95\degree) \\ \\ \therefore \: 72 \degree \times 2= (x + 95\degree) \\ \\ \therefore \: 144 \degree = x + 95\degree \\ \\ \therefore \:x = 144 \degree - 95\degree \\ \\ \huge \red{ \boxed{\therefore \:x = 49\degree}}$

4 0

3 years ago

The radius of a circle measures 8 in.

Umnica [9.8K]

Answer: 50.24

To find the circumference of a circle you multiply the diameter of a circle by pi, 3.14, the diameter is 2 x the radius which would be 8x2 which is 16. Then multiply 16x3.14 giving you 50.24

6 0

3 years ago