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2 years ago

Bree had 52 pens scattered on her desk.She wanted to organize them.

Mathematics

1 answer:

ziro4ka [17]2 years ago

7 0

Answer: The operation is “division” and the answer is “13 pens in each”.
Explanation: 52 divided by 4 = 13

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(01.02 LC)Simplify negative 3 and 1 over 9 − negative 8 and 1 over 3.

blsea [12.9K]

As we are given with

$-3\frac{1}{9}-(-8\frac{1}{3})\\\\$

we are supposed to simplify this expression. which can be done as below

$\\=-3\frac{1}{9}+8\frac{1}{3}\\\\=\frac{-28}{9}+\frac{25}{3}\\\\=\frac{-28+75}{9}\\\\=-\frac{47}{9}\\$

$=5\frac{2}{9}$

6 0

3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

2 years ago

Steps to solving y=2x+3 x=y-8

tatuchka [14]

First, plug in x=y-8 to y=2x+3
Next, it would be y=2(y-8)+3
Then, you need to distribute: y= 2y-16+3
After that, move 2y to the other side: -y= -13 (notice I also did -16+3)
Finally, divide negatives into both sides: y=13

Now to find x just plug in 13 to either of the equations: 13=2x+3
Then solve: x=5
So the FINAL answer is: (5,13)
Hope this helps!!!!!!!

3 0

3 years ago

A national news channel reported that there is no difference between the average earnings of women and men in computer and mathe

Ulleksa [173]

Answer:

Step-by-step explanation:

sample size ( n ) = 2500 women ( computer and mathematical occupations )

Average earnings of sample ( X )= $75000 / year

standard deviation ( s )= $9500

a) knowing that the average earnings of men are $89,000/year, the null and the alternative hypotheses that the average earnings of women match the average earnings of men in the population.

Given ; Ц = $89000

Null hypothesis ( H0) : Ц = $89000

Alternative hypothesis ( H1 ) : Ц ≠ $89000

The test is : one sample t test hypothesis

b) Test statistic

Test statistic ( t ) =

4 0

2 years ago

Mary wants to fill in a cylinder vase.At the flower store they told her that the vase should be filled 3/4 for the flowers to la

borishaifa [10]

<u>Answer:</u>

Approximately 377 cubic inches of water.

<u>Step-by-step explanation:</u>

We know that Mary wants to fill in a cylinder vase and she was told that the vase should be filled 3/4 for the flowers to last the longest. We are to find how much water should she pour into the vase.

So first, we will find the height of the water:

$=\frac{3}{4} *10=7.5$ inches

Then, find the volume of the water of this height:

$Volume = \pi *4^2*7.5 = 376.9$

Therefore, Marry should pour approximately 377 cubic inches of water.

6 0

3 years ago