Factor x^2-a^2-10a-25 completely.

Of my <br> Goodness please help me!!! <br>which is the graph of the function

Lerok [7]

Answer:

B

Step-by-step explanation:

the fraction gives an assomtope

6 0

3 years ago

andrezito [222]

Answer:

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 2000, \sigma = 18$

A) If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1995 milliliters?

So $n = 100, s = \frac{18}{\sqrt{100}} = 1.8$

This probability is the pvalue of Z when X = 1995. So

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{1995 - 2000}{1.8}$

$Z = -2.78$

$Z = -2.78$ has a pvalue of 0.0027

So 0.27% probability that the mean is less than 1995 milliliters.

B) What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9.

So it is X when $Z = 1.28$

$Z = \frac{X - \mu}{s}$

$1.28 = \frac{X - 2000}{1.8}$

$X - 2000 = 1.8*1.28$

$X = 2002.3$

2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

3 0

2 years ago

Pls help with this problem if u do thx <3

Vitek1552 [10]

<h3>2 Answers: Choice B and Choice D</h3>

======================================

Work Shown:

c = price of coat before discount

0.33c = discount = amount you save

c - 0.33c = original price minus discount = final price

c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price

In short, c - 0.33c = 0.67c

They are two ways of expressing the same thing.

You can think of it like saying 100% - 33% = 67%

If you save 33%, then you still have to pay the remaining 67% of the original cost.

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Example:

Let's say the coat is $100 before the discount

c = 100

0.33*c = 0.33*100 = 33 dollars is how much you save

c - 0.33c = 100 - 33 = 67 dollars is the final price

0.67c = 0.67*100 = 67 matches with the previous figure above

8 0

2 years ago

Dali rolled up his painting and placed it in a cylinder 2 inches diameter. If the cylinder is 20 inches long find its volume. Ro

alekssr [168]

Answer:

The correct answer is 63 cubic inches.

Step-by-step explanation:

Dali rolled up his painting and placed it in a cylinder 2 inches diameter.

Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.

Radius of the cylinder is 1 inch.

Length of the cylinder is 20 inches.

Volume of the cylinder is given by π × $r^{2}$ × h = π × $1^{2}$ × 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.

Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.

3 0

3 years ago

I'm so confused!!!!! Can somebody plz help me!!!plz

ZanzabumX [31]

I would suggest looking up a converter chart, I don't know all of them but I can help with some.
For yards to feet you have to divide by 3 because there are 3 feet in a yard.
For lbs, it's 16 oz in a pound, so divide by 16.
For miles to yards you divide by 1760 because there are 1760 yards in a mile.
I hope this helps a little bit.

8 0

3 years ago