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Liono4ka [1.6K]
4 years ago
14

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5

Mathematics
1 answer:
son4ous [18]4 years ago
3 0

Answer:

y + 2 = - \frac{4}{5}(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - \frac{4}{5} and (a, b) = (3, - 2), hence

y - (- 2) = - \frac{4}{5}(x - 3), that is

y + 2 = - \frac{4}{5}(x - 3)

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Answer:

(A) 0.006593 or 0.6593%

(B) 0.01538 or 1.538%

Step-by-step explanation:

The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\

(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:

P(N=1) = \frac{3}{455}=0.006593 =0.6593\%

(B) There are three possibilities  for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

P(N>0) =P(N=1)+P(N=2)+P(N=3) \\P(N>0) = \frac{3}{455}+ \frac{3}{455}+ \frac{1}{455}\\P(N>0) =0.01538 =1.538\%

5 0
3 years ago
- 5<br> 4<br> =<br> 2x - 3<br> 5x -5
Zinaida [17]

Answer:

x = 49/33

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3 0
3 years ago
Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal
brilliants [131]

Answer:

After buying the meal and the computer game, Kristian has 43.33% of his money left.

Step-by-step explanation:

Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:

72 = 100

8.40 + 32.40 = X

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40.80 x 100/72 = X

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Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.

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3 years ago
13. A shop owner spent $540 to purchase a stock of
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Answer:

Step--by--step explanation:

3 0
3 years ago
Can you please help me. Go to my acc for more help for me :)
Angelina_Jolie [31]
The answer is 164. 5x4=20 and so on
8 0
3 years ago
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