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3 years ago

Someone help please with b (the slope is 5)

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

The slope is the number that describes both the direction and the steepness of the line.

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A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

3 years ago

a local business was looking to hire a landscaper to work on their property. they narrowed their choices to two companies. flour

ANTONII [103]

Flourish- 120x
Green Thumb- (70x)=1600

Flourish- 120*35= $4200
Green Thumb- (70*35)+1600= $4050

It would be less expensive to hire Green Thumb Landscapers. There is a $150 difference between the two

It would take 32 hours of work for the cost to be the same for both companies<span />

7 0

3 years ago

Given the function h(x) = – x2 + 4x + 10, determine the average

Nonamiya [84]

Answer:

x = 1

Step-by-step explanation:

4 0

3 years ago

what is the center and radius of the circle given the equation, 8x + x-squared - 2y + y-squared - 64 = 0?

RoseWind [281]

Step-by-step explanation:

8x + x² - 2y + y² - 64 = 0

(x + 4)² + (y - 1)² - 81 = 0

(x + 4)² + (y - 1)² = 81

Hencr the center is (-4,1) and the radius is 9.

7 0

3 years ago

Janna has $34 and will save $6 per day

iris [78.8K]

5.6666666 hope this helps

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3 years ago