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4 years ago

Write an equation for a line parallel to y = -5x - 4

Mathematics

1 answer:

alexandr1967 [171]4 years ago

6 0

Answer:

Step-by-step explanation:

A paralell line has the exact same slope, but different y intercept (b), so an equation for the line could be y = -5x + 10.

Literally infinite possibilities, just change the y intercept number, as long as slope is exact same

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Basic Computation: Find Probabilities In Problems 5-14, assume that x has a normal distribution with the specified mean and stan

Ulleksa [173]

Answer:

the answer is below

Step-by-step explanation:

The z score is used to calculate by how many standard deviations the raw score is above or below the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}\\\\\mu=mean,\sigma=standard\ deviation$

1) For x = 3

$z=\frac{x-\mu}{\sigma}=\frac{3-4}{2}=-0.5$

For x = 6

$z=\frac{x-\mu}{\sigma}=\frac{6-4}{2}=1$

P(3 ≤ x ≤ 6) = P(-0.5 ≤ z ≤ 1) = P(z < 1) - P(z < -0.5) = 0.8413 - 0.3085 = 0.5328

2) For x = 50

$z=\frac{x-\mu}{\sigma}=\frac{50-40}{15}=0.67$

For x = 70

$z=\frac{x-\mu}{\sigma}=\frac{70-40}{15}=2$

P(50 ≤ x ≤ 70) = P(0.67 ≤ z ≤ 2) = P(z < 2) - P(z < 0.67) = 0.9772 - 0.7486 = 0.2286

3) For x = 8

$z=\frac{x-\mu}{\sigma}=\frac{8-15}{3.2}=-2.19$

For x = 12

$z=\frac{x-\mu}{\sigma}=\frac{12-15}{3.2}=-0.94$

P(8 ≤ x ≤ 12) = P(-2.19 ≤ z ≤ -0.94) = P(z < -0.94) - P(z < -2.19) = 0.1736 - 0.0143 = 0.1593

4) For x = 30

$z=\frac{x-\mu}{\sigma}=\frac{30-20}{3.4}=2.94$

P(x ≥ 30) = P(z ≥ 2.94) = 1 - P(z < 2.94) = 1 - 0.9984 = 0.0016

5) x = 90

$z=\frac{x-\mu}{\sigma}=\frac{90-100}{15}=-0.67$

P(x ≥ 90) = P(z ≥ -0.67) = 1 - P(z < -0.67) = 1 - 0.2514 = 0.7486

6) For x = 10

$z=\frac{x-\mu}{\sigma}=\frac{10-15}{4}=-1.25$

For x = 20

$z=\frac{x-\mu}{\sigma}=\frac{20-15}{4}=1.25$

P(10 ≤ x ≤ 20) = P(-1.25 ≤ z ≤ 1.25) = P(z < 1.25) - P(z < -1.25) = 0.8944 - 0.1056 = 0.7888

7) For x = 7

$z=\frac{x-\mu}{\sigma}=\frac{7-5}{1.2}=1.67$

For x = 9

$z=\frac{x-\mu}{\sigma}=\frac{9-5}{1.2}=3.33$

P(7 ≤ x ≤ 9) = P(1.67 ≤ z ≤ 3.33) = P(z < 3.33) - P(z < 1.67) = 0.9996 - 0.9525 = 0.0471

8) For x = 40

$z=\frac{x-\mu}{\sigma}=\frac{40-50}{15}=-0.67$

For x = 47

$z=\frac{x-\mu}{\sigma}=\frac{47-50}{15}=-0.2$

P(40 ≤ x ≤ 47) = P(-0.67 ≤ z ≤ -0.2) = P(z < -0.2) - P(z < -0.67) = 0.4207 - 0.2514 = 0.1693

9) x = 120

$z=\frac{x-\mu}{\sigma}=\frac{120-10}{15}=7.33$

P(x ≥ 120) = P(z ≥ 7.33) = 1 - P(z < 7.33) = 1 - 0.9999 = 0.001

10) x = 2

$z=\frac{x-\mu}{\sigma}=\frac{2-3}{0.25}=-4$

P(x ≥ 2) = P(z ≥ -4) = 1 - P(z < -4) = 1 - 0.0001 = 0.999

3 0

3 years ago

1) A population of bees is increasing at a rate of 8% per week. If

ad-work [718]

Answer:

≈387,7

Step-by-step explanation:

I hope it's right. Sorry if it's not right.

3 0

3 years ago

Find the percent of each number. Estimate to check whether your answer is reasonable. 16% of 50

ad-work [718]

Answer:

16% of 50 = 8

Step-by-step explanation:

50x0.16=8

We know 10 percent of 50 is 5, so 20 percent of 50 is 10.

8 comes between 5 and 10, so it’s reasonable.

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3 years ago

Which of the following is NOT a requirement for testing a claim about two population standard deviations or variances? A. The p

lara [203]

Answer:

B. One of the populations is normally distributed.

Step-by-step explanation:

To test a claim about two population standard deviation or variance, it is imperative that the data meets certain requirements which include :

Randomness : Data must not be biased as such it must be drawn as a random sample from a larger group.

The data must be independent. That is not related to one another, the outcome of one should not rely on the outcome or value of another.

Both groups must be drawn From a population which is normally distributed.

One group being normally distributed by stribuyed while the other isn't a requirement for hypothesis testing in this scenario.

6 0

3 years ago

A theater sold 900 tickets to a play. Floor seats cost $12 and balcony seats cost $10 each. Total receipts were $9780. How many

leva [86]

Answer:

do 90 times or dvided by 12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers