All categories

3 years ago

It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?

2 answers:

7 0

He can complete about 6 pages of math homework.
you first do 200 divided by 32 and you get 6.25. So therefore Dan can complete 6 pages in 200 minutes.

Allisa [31]3 years ago

4 0

Answer:

12.5

Step-by-step explanation:

You might be interested in

Assume that trees are subjected to different levels of carbon dioxide atmosphere with 7% of the trees in a minimal growth condit

taurus [48]

Answer: The mean and standard deviation are 567.2 and 89.88 resp.

Step-by-step explanation:

Since we have given that

For 370 parts per million = 7% = 0.07

For 440 parts per million = 10% = 0.10

For 550 parts per million = 49% = 0.49

For 670 parts per million = 34% = 0.34

So, Mean of the carbon dioxide atmosphere for these trees would be

$E[x]=370\times 0.07+440\times 0.1+550\times 0.49+670\times 0.34=567.2$

And

$E[x^2]=370^2\times 0.07+440^2\times 0.1+550^2\times 0.49+670^2\times 0.34=329794$

So, Variance would be

$Var\ x=E[x^2]-E[x]^2=329794-567.2^2=8078.16$

So, the standard deviation would be

$\sigma=\sqrt{8078.16}=89.88$

Hence, the mean and standard deviation are 567.2 and 89.88 resp.

3 0

3 years ago

"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4

Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99$

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

4 0

3 years ago

The coordinate plane below shows the graph of a linear function of x. Which of the following equations best describes the functi

Vitek1552 [10]

Answer: Its A

Step-by-step explanation:

5 0

2 years ago

Write the following as ratio and simplif 3km to 12km <br>

lesantik [10]

Answer:

1:4

Step-by-step explanation:

3:12

((3×1):(3×4))

=1:4

(would love if you could mark me the brainliest :))

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to log3(x + 4)?

dangina [55]

Answer:

log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.

Step-by-step explanation:

By the logarithm product rule, for two nonzero numbers $a$ and $b$ ,

$\log{(a \cdot b)} = \log{(a)} + \log{(b)}$ .

Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.

For example, $3(x + 4)$ is the number in the logarithm $\log{[3(x + 4)]}$ . Since $3(x + 4)$ is a product of the two numbers $3$ and $(x + 4)$ , the logarithm $\log{[3(x + 4)]}$ can be split into two. By the logarithm product rule,

$\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}$ .

However, $\log{(x + 4)}$ cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.

5 0

3 years ago

Read 2 more answers