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3 years ago

Give f(x)= -5x+4n, find the value of f(-3)

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

In the picture.

Step-by-step explanation:

I hope that it's a clear solution.

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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

Hello there!

jok3333 [9.3K]

Answer:

4. dy/dx = -2

8. dy/dx = 1/2 x^(-3/2)

10/ dy/dr = 4 pi r^2

Step-by-step explanation:

4. y = -2x+7

dy/dx = -2(1)

dy/dx = -2

8. y = 4 - x^-1/2

dy/dx = - (-1/2x^ (-1/2-1)

dy/dx = 1/2 x^(-3/2)

10. y = 4/3 pi r^3

dy/dr = 4/3 pi (3r^2)

dy/dr = 4 pi r^2

7 0

3 years ago

Are there any integers between zero and one explain

bulgar [2K]

NOOOOO! Integers are whole numbers, so there are none between 0 and 1. Now, whether or not there are any numbers at all between 0 and 1 is a whole different story... :)

8 0

3 years ago

What is 26 divided by 10.92

Bezzdna [24]

26 divided by 10.92 equals 2.380952

7 0

3 years ago

Find the interest rate for a principal of $8635 and charged $33549 in interest for 11 years.

Deffense [45]

Answer:

rate = 0.4 %

Step-by-step explanation:

Interest = principal x rate x time

33549 = 8635 x r x 11

33549 = 94985r

r = 33549/94985

r = 0.3532

r = 0.4

rate = 0.4 %

3 0

2 years ago