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3 years ago

An equation for the line graphed is

Mathematics

2 answers:

ruslelena [56]3 years ago

7 0

Answer:

y = mx + b

Step-by-step explanation:

creativ13 [48]3 years ago

5 0

Answer:

y=3/2x +3

Step-by-step explanation:

On the interim and I see the graph, you start at the point 3 and do rise over run.

It goes up 3 and right 2

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5 Wyatt had one sack that contained some

defon

Answer:

Step-by-step explanation:

the answer is 1/4

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3 years ago

What foes the graph of profits as a function of the number of hats sold look like?

natita [175]

The answer is D i think

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3 years ago

If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

grin007 [14]

Answer:

$\huge\boxed{SA=2466\ (mm^2)}$

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

$SA=2(lw+lh+wh)$

l - length

w - width

h - height

We have:

$l=39mm;\ w=12mm;\ h=15mm$

Substitute:

$SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)$

5 0

3 years ago

Simplify the following expression: (66)4

iren [92.7K]

Step-by-step explanation:

Given

$( {6}^{6})^{4} \\ = {6}^{6 \times 4} \\ = {6}^{24} \\ = 4.7383813e18$

3 0

3 years ago

The mean number of words per minute (WPM) read by sixth graders is 8888 with a standard deviation of 1414 WPM. If 137137 sixth g

Bingel [31]

Noticing that there is a pattern of repetition in the question (the numbers are repeated twice), we are assuming that the mean number of words per minute is 88, the standard deviation is of 14 WPM, as well as the number of sixth graders is 137, and that there is a need to estimate the probability that the sample mean would be greater than 89.87.

Answer:

"The probability that the sample mean would be greater than 89.87 WPM" is about $\\ P(z>1.56) = 0.0594$ .

Step-by-step explanation:

This is a problem of the distribution of sample means. Roughly speaking, we have the probability distribution of samples obtained from the same population. Each sample mean is an estimation of the population mean, and we know that this distribution behaves normally for samples sizes equal or greater than 30 $\\ n \geq 30$ . Mathematically

$\\ \overline{X} \sim N(\mu, \frac{\sigma}{\sqrt{n}})$ [1]

In words, the latter distribution has a mean that equals the population mean, and a standard deviation that also equals the population standard deviation divided by the square root of the sample size.

Moreover, we know that the variable Z follows a normal standard distribution, i.e., a normal distribution that has a population mean $\\ \mu = 0$ and a population standard deviation $\\ \sigma = 1$ .

$\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}$ [2]

From the question, we know that

The population mean is $\\ \mu = 88$ WPM
The population standard deviation is $\\ \sigma = 14$ WPM

We also know the size of the sample for this case: $\\ n = 137$ sixth graders.

We need to estimate the probability that a sample mean being greater than $\\ \overline{X} = 89.87$ WPM in the distribution of sample means. We can use the formula [2] to find this question.

The probability that the sample mean would be greater than 89.87 WPM

$\\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$\\ Z = \frac{89.87 - 88}{\frac{14}{\sqrt{137}}}$

$\\ Z = \frac{1.87}{\frac{14}{\sqrt{137}}}$

$\\ Z = 1.5634 \approx 1.56$

This is a standardized value and it tells us that the sample with mean 89.87 is 1.56 standard deviations above the mean of the sampling distribution.

We can consult the probability of P(z<1.56) in any cumulative standard normal table available in Statistics books or on the Internet. Of course, this probability is the same that $\\ P(\overline{X} < 89.87)$ . Then

$\\ P(z$

However, we are looking for P(z>1.56), which is the complement probability of the previous probability. Therefore

$\\ P(z>1.56) = 1 - P(z$

$\\ P(z>1.56) = P(\overline{X}>89.87) = 0.0594$

Thus, "The probability that the sample mean would be greater than 89.87 WPM" is about $\\ P(z>1.56) = 0.0594$ .

5 0

3 years ago