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serg [7]
3 years ago
11

(5 •10^16) • (2.8 • 10^-7)

Mathematics
1 answer:
Gelneren [198K]3 years ago
7 0
That's 7/3 =2.3333333
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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
(question is on picture linked)
nalin [4]

here y+13=15

so we got y=2

then y+13+x+12=30

then we will get x=3

7 0
3 years ago
What operation is used to change a PERCENT to a DECIMAL?
ZanzabumX [31]
To convert a percent to a decimal, we divide by 100. This is the same thing we do to convert a percent to a fraction.
3 0
3 years ago
Read 2 more answers
You sell lemonade around town and you can make $0.30 from each bottle of lemonade. The total amount of money you earn is 0.3b, w
noname [10]

Answer:

$9

Step-by-step explanation:

Cost per bottle of Lemonade = $0.30

Let b represent the number of bottles that you sell which is given as:

30 bottles

Equation for solving

= 0.30 × b

= 0.30b

Hence,

Total cost for 30 bottles of Lemonade is:

0.30 × 30

= $9

Hence, you can make $9 from selling 39 bottles of Lemonade.

6 0
3 years ago
Lara and her brothers are painting a wall. Lara paints 28 of the wall. Chuck and Max each paint 38 of the wall. How much of the
Sergeu [11.5K]
104 wall because 38+38 is 76 and 76+28 is 104
4 0
3 years ago
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