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3 years ago

Sovle number 2 pls and thank you

Mathematics

1 answer:

stepladder [879]3 years ago

3 0

Answer:

$\boxed {10,000,000}$

Step-by-step explanation:

Solve the following problem:

$(-10^{-2})^{-4}$

-Calculate $-10$ to the power of $-2$ :

$(-10^{-2})^{-4}$

$(-\frac{1}{100})^{-4}$

-Calculate $-\frac{1}{100}$ to the power of $-4$ :

$(-\frac{1}{100})^{-4}$

$\boxed {10,000,000}$

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Meiling has 1/ 1 4 liter of orange juice. She drinks 1/3 liter how much orange juice does she have left

olga_2 [115]

Litres left can be solve as shown below

$\begin{gathered} 1\frac{1}{4}\text{ - }\frac{1}{3} \\ using\text{ the LCM, we have} \\ \frac{5}{4}-\frac{1}{3} \\ \frac{15\text{ - 4 }}{12}=\frac{11}{12} \end{gathered}$

4 0

1 year ago

PLZ HELP ME

Julli [10]

Do u want the SIMPLEST form? if not...

106666666.1
---------------------
50000000000

3 0

3 years ago

Read 2 more answers

Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3

Gennadij [26K]

<h3>Answer: Choice A) sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0

3 years ago

Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units. Hint: You need to use

Sophie [7]

Answer:

Step-by-step explanation:

<u>The Volume of a Square Pyramid</u>

Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:

$\displaystyle V=\frac{1}{3}a^2h$

We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft

We use Pythagora's theorem:

$25^2=h^2+7^2$

Solving for h:

$h^2=25^2-7^2=625-49=576$

$h=\sqrt{576}=24$

The height is h=24 ft. Now the volume is calculated:

$\displaystyle V=\frac{1}{3}*14^2*24$

V = 1,568

3 0

2 years ago

A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products

tester [92]

Answer:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

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".

$\bar X=22$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size

ME = 2 represent the margin of error accepted

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)

The margin of error is given by this formula:

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

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (3)

We can use as estimator for the population deviation the sample deviation $\hat \sigma = s$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (3) we got:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

6 0

3 years ago