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sweet [91]
3 years ago
9

Find the percent of change 48 notebooks to 14 notebooks

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
Find the percent of change48 notebooks to 14 notebooks

Find amount of change:-

48 - 14 = 34

Find percent change:

Percent of change =  \frac{amount of change}{original amount}

34 ÷ 14 ≈ <span>2.4

</span><span>2.4 </span>× 10 = 24
24%

percent change is 24%
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The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho
vitfil [10]

Answer:

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is  

\sigma = 12.6 \: hours

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

n = 250

The sample mean is  

\bar{x} = 9 \: hours  

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

 \mu = \bar{x} = 9 \: hours

The sample standard deviation would be  

$ s = {\frac{\sigma}{\sqrt{n} }  $

Where   is the population standard deviation and n is the sample size.

$ s = {\frac{12.6}{\sqrt{250} }  $

s = 0.7969 \: hours

Therefore, the sampling distribution of \bar{x} is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

\text {confidence interval} = \mu \pm MoE\\\\

Where the margin of error is given by

$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\

Where n is the sampling size, s is the sample standard deviation and  is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\

So the required 95% confidence interval is

\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569

The 95% interval estimate of the population mean \mu is

LCL = 7.431 hours to UCL = 10.569 hours

8 0
3 years ago
Define geometric relationship​
blagie [28]

Answer:

Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. ... For example, a connect relationship and a tangent relationship can be used where an arc meets a line. (make me brainliest)

7 0
3 years ago
What would the total area be??
timurjin [86]

Answer:

1,560,000 mm²

Step-by-step explanation:

A= \frac{(1600*600)}{2} This would make shape A's area <u>480,000</u>.

B= \frac{(600*600)}{2} This would make shape B's area <u>180,000</u>.

C= \frac{(1000*600)}{2} This would make shape C's area <u>300,000</u>.

D= 1000×600 This wouls make D's area <u>600,000</u>.

Now you add up all of the areas;

480,000+180,000+300,000+600,000= 1,560,000 mm²

6 0
3 years ago
Read 2 more answers
What is solution to <br>12²-5²​
expeople1 [14]

Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

6 0
2 years ago
I just need the answer no explanation
Elza [17]
The answer is the second choice
8 0
3 years ago
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