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3 years ago

11

Mr Dominguez divided 68 students into 4 groups of equal size. Which of the following correctly uses the distributive property to

find the number of students in each group?

1 answer:

JulijaS [17]3 years ago

8 0

The answer is 17 students in each group.

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A lab technician is dividing a cell that has a diameter of 4.32×10^-4 millimeters. Each of the new cells has a diameter measurin

RideAnS [48]

Answer:

$2.16 \times {10}^{ - 4}$

Step-by-step explanation:

The lab technician is dividing a cell that has a diameter of

$4 .32 \times {10}^{ - 4}$

The new cells has a diameter that is half of the diameter of the original cell.

The diameter of the new cell is given as:

$\frac{4.32 \times {10}^{ - 4} }{2}$

Rewrite the numerator in standard notation:

$\frac{0.000432}{2}$

$= 0.00216$

We rewrite in scientific notation to obtain:

$2.16 \times {10}^{ - 4}$

3 0

3 years ago

A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)$

Thus, the reasonable range for the population mean is (61%, 75%).

5 0

3 years ago

Tyrone mixed 7/12 quart of red psont with 1/12 quart of yellow paint how much paint does tyrone have in the mixture

Zarrin [17]

Hello there.

<span>Tyrone mixed 7/12 quart of red paint with 1/12 quart of yellow paint how much paint does Tyrone have in the mixture?
</span><span>
Answer: In this question you need to add together the fractions provided.
The sum would look like this:
</span> $\frac{7}{12}$ + $\frac{1}{12}$ =
<span>Since the denominators are the same , it is simple to add.
All you need to do is 7 + 1 = 8.
Therefore the end result after solving would look like.
</span> $\frac{7}{12}$ + $\frac{1}{12}$ = $\frac{8}{12}$ .
<span>Tyrone has 8/12 quarts of paint.

Hope This Helps You!
Good Luck Studying ^-^</span>

3 0

2 years ago

Anna just accepted a job at a new company where she will make an annual salary of

Pani-rosa [81]

I don’t know I don’t have the smarts for that lol

7 0

2 years ago

Rick took a 20-minute coffee break. at the end of the break, it was 10:00

gladu [14]

Rick started his coffee break at 9:40 am.

4 0

3 years ago

Read 2 more answers