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3 years ago

The equation of a line is 4x−3y=−24 .

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Answer:

x = - 6

Step-by-step explanation:

The x-intercept is when y =0, you are looking for a point (x, 0)

So you replace y = 0 in the equation

4x - 3y = - 24

4x - 3(0) = - 24

4x = - 24

x = - 6

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120 sixth graders are going on a field trip to the Rock and Roll Hall of Fame and Museum. The museum requests a ratio of student

NARA [144]

Answer: 15

Step-by-step explanation:

120 ÷ 8 = 15

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3 years ago

Raiz cuadrada de 49?

beks73 [17]

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2 years ago

What is 6xy in simplest form?

Bogdan [553]

6xy in simplest form is simply 6 to the second power

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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 without replacement.

(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

lara has a tin of peanuts cashews and pecans she will pick a second nut without looking. how many outcomes are there for her two

KiRa [710]

Possible procedures:

1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.

Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.

So there are only six (6) possible different outcomes.

6 0

3 years ago

Read 2 more answers