All categories

3 years ago

16)b) I don’t know how to do

Mathematics

2 answers:

frez [133]3 years ago

7 0

Either way you still have the exact same amount of material length no matter if melted and remolded or simply cut

Snezhnost [94]3 years ago

3 0

Answers

a) 37 cubes

b) 27 cubes

Explanation

The volume of cube is given by:

volume = l³

Where l ⇒ length of the cube.

part a

The volume of the bigger cube measuring 10 cm = 10³=10×10×10 = 1000 cm³.

Volume of the smaller cube measuring 3 cm = 3³ =3×3×3 = 27 cm³

To get the number of cubes to be made we divide 1000 cm³ by 27 cm³.

number of cubes = 1000/27 = 37. 03

The number of complete cubes will be 37.

Part b

Since we are not melting the bigger cuber we can not divide their volumes.

We are going to count the number of cubes that can be cut from each side.

The length of the bigger cube is 10 cm and that of maller cube is 3 cm.

So, 10/3 = 3.33..

This means only 3 cube can fit from each side.

Number of cubes = 3×3×3

= 27 cubes

You might be interested in

A chemist recorded the change in temperature of a cooling liquid as −25.5°F over a 1.5 minute period. The temperature fell at a

Strike441 [17]

The rate of change in temperature is −17°F/min

<h3>Rate of change of a function</h3>

The formula for calculating the rate of change of a function is expressed as:

Rate of change = rise/run

This is also known as the slope of the function

Given the following parameters

Temperature = −25.5°F

Cooling time = 1.5mins

Determine the rate of change

Rate = −25.5°F/1.5min

Rate = −17°F/min

Hence the rate of change in temperature is −17°F/min

Learn more on rate of change here: brainly.com/question/8728504

#SPJ1

5 0

1 year ago

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

2 years ago

Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=

Bumek [7]

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

$\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =$

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

$\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =$