All categories

3 years ago

What is the surface area of a cube with a edge of 5

Mathematics

1 answer:

sergejj [24]3 years ago

7 0

Answer:

Step-by-step explanation:

A cube is made up of 6 squares

One square has 4 edges of equal length

The area of one face is Area = s^2

Therefore the surface area is 6 * s^2

The area of this cube is 6 * 5 * 5 = 150 units.

You might be interested in

Determine the value of the variable. 5 + 17 = J - 14

Nataly_w [17]

You would add 5 and 17 and that would equal 22
Now it would be 22=J-14
Then add 14 on both sides so it cancels out 22 plus 14 is 36
So J would equal 36

3 0

3 years ago

Read 2 more answers

Multiply. 17.22⋅(−2.4) Enter your answer in the box.

aleksandrvk [35]

Answer:

-41.328

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Mary is 19 years old. she drinks the recommended intake of 2.2 liters of water and other beverages a day. about how many cups is

Veronika [31]

We will consider that the average volume of a cup is 200 ml, that is 0,2 liters. That means 1 liter of liquid in cups is: 1 liter * 0.2 cup/liter = 5 cups Then the equivalent of recommended liquid in number of cups is: 2.2 litres * 5 cup / liter = 11 cups of 200 ml each.

8 0

4 years ago

Someone anybody please help

babymother [125]

This is a system of equations problem that can be solved using one of three methods: graphing, substitution, or elimination. I'll be using substitution.

In substitution:
1) Solve one equation for either variable. I'll use the first equation because its easier to solve for one of the variables. I'll be solving for y because that will allow us to solve for the value of x faster.
 $x+y=60$
$y=60-x$

2) Substitute what you get into the other equation:
$20x + 5y = 600$
$20x + 5(60-x) = 600$

3) Solve your new equation in step 2 for the variable, x.
$20x + 5(60-x) = 600$
$20x + 300-5x = 600$
$15x + 300 = 600$
$15x = 300$
$x=20$

There are D) 20 $20 bills in her drawer.

3 0

3 years ago

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

Valentin [98]

Answer:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324 \approx 4.3$

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

Step-by-step explanation:

Data: 10,9,20,13,12

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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,4)".And we see that $t_{\alpha/2}=4.604$

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

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

6 0

3 years ago