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2 years ago

What is 24 2/3 divided by 1 3/4

Mathematics

2 answers:

Mandarinka [93]2 years ago

5 0

Answer:

Step-by-step explanation:

First, you should convert the mixed fractions into an improper fraction.

74/3 divided by 7/4

As you should know, any fraction divided by another is that fraction times the reciprocal of the other fraction.

74/3*4/7

There fore leaving 296/21 as the answer.

KengaRu [80]2 years ago

4 0

296/21 is the answer hope this helps

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3(2x + 5)2(x + 6)<br> Can someone help me :)

Mamont248 [21]

Answer:

6x+15>2x+12

6x-2x>12-15

4x>-3

x>-3/4

Step-by-step explanation:

6 0

3 years ago

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto

BlackZzzverrR [31]

Answer:

$3.75\ cm^{3}$ or $3\frac{3}{4}\ cm^{3}$

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

we know that

The volume of a rectangular prism is

$V=LWH$

In this problem we have

$L=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$W=2\frac{1}{2}\ cm=\frac{2*2+1}{2}=\frac{5}{2}\ cm$

$H=5\ cm$

substitute in the formula

$V=(\frac{5}{2})(\frac{5}{2})(5)=\frac{125}{4}=31.25\ cm^{3}$

step 2

Find the difference between the volume of the prism and the volume of the storage container

$35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}$

$3.75=3\frac{3}{4}\ cm^{3}$

3 0

3 years ago

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

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

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$