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3 years ago

The difference between an open circle and a closed circle on a graph of an inequality.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

3 0

A closed circle means that value is included, and an open circle means that value is excluded.

Example:

x > 2 ---- Graphed with an open circle, everything greater than but not including 2

x ≤ 3 ------ Graphed with a closed circle, everything less than and including 3

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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

PLEASE HELP FAST! I'll mark as brainliest

NeX [460]

Answer:

It is easy you just add all of the up and the answer will give you 20 so your answer will be 20

Step-by-step explanation:

ad 2+3+4+5+6 = 20

6 0

3 years ago

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Robin had 40 apples to give to 3 groups of children.

wariber [46]

Answer:

23 apples

Step-by-step explanation:

1/8 of 40 = 5, 20 percent of 40 is 8. 8+4+5 = 17. 40-17 is 23

8 0

3 years ago

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Bailey and his best friend

pashok25 [27]

Answer:

you didnt give any numbers but, I'm guessing they would pay as much as how big the slices were or if they were a third or a fourth of a slice

6 0

3 years ago

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He randomly selects a sample of 200 Darwin households. Forty households prefer the new package to all other package designs. The

Anni [7]

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

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3 years ago