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andrew11 [14]
3 years ago
5

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

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Complete question :

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days

Answer:

0.67307

Step-by-step explanation:

Given that :

Mean, m = 400

Standard deviation, s = 50

Sample size, n = 6000

Obtain the standardized score :

Zscore =(x - m) / s

For X = 360

P(x < 360)

Zscore =(360 - 400) / 50

Zscore = - 40 / 50

Zscore = - 0.8

P(Z < - 0.8) = 0.21186

For X = 460

P(x < 460)

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Zscore = 60 / 50

Zscore = 1.2

P(Z < 1.2) = 0.88493

P(Z < 1.2) - P(Z < - 0.8)

0.88493 - 0.21186

= 0.67307

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3 years ago
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Answer:

5>t

Step-by-step explanation:

45 > 12t + 3(t -8) - 6 multiply 3 times t-8

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Answer:

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Step-by-step explanation:

0.6 = 60% of 1.

60/100 also = 60% of 1

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