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3 years ago

Which of the following is a factor of 3x3 + 18x2 + 27x?

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

I hope this helps you

3x (x^2+6x+9)

3x (x+3). (x+3)

3x. (x+3)^2

lorasvet [3.4K]3 years ago

3 0

So based on the given expression above, that factor of <span>3x3 + 18x2 + 27x would be x + 3. So the answer is the third option. So how did we get x + 3. Firstly, we factor the given expression by 3x. So, it would look like this.
3x (x+3)(x+3). Hope this is the answer that you are looking for. </span>

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Answer please !!!!!!!

Afina-wow [57]

The answer is b, I hope this is correct

7 0

3 years ago

The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°

Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be 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 $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1$

If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

$Z = \frac{98.4 - 98.6}{0.1}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0

3 years ago

Wright an inequality for the graph

Lerok [7]

Answer:

Y >= ABS(x-5) + 1

Step-by-step explanation:

Any graph that forms a "V" involves absolute value. So what equation would give the vertex y=1 at x=5, ABS(X-5) + 1.

5 0

3 years ago

Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length