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Bond [772]
3 years ago
6

For every left handed person, there are about 4 right-handed people. If there are 30 students in a class, predict the number of

students who are right-handed
Mathematics
2 answers:
Snezhnost [94]3 years ago
4 0

Answer:

24

Step-by-step explanation:

30/5=6

1•6=6 Left handed

4•6=24 Right handed

EleoNora [17]3 years ago
4 0

Answer:about 24


Step-by-step explanation:

this is because if you add 1 lefty and 4 righty you get 5 total. Now, you divide 30÷5=6. Then 30-6=24. here you go.

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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
Which expression is equivalent to 2(25)
ICE Princess25 [194]

Is this a multiple choice question? If so...what are the options?

6 0
3 years ago
Read 2 more answers
65% of 40 is what number?<br>ahh this was supposed to be done yesterdayyy..​
Tasya [4]

Answer:

65% of 40 is 26

6 0
3 years ago
Read 2 more answers
Find the unknown number 5/12+()=1/2
xenn [34]

Hello from MrBillDoesMath!

Answer:    1/12


Discussion:

We solve  5/12 + x = 1/2 for x. Begin by subtracting 5/12 from each side

5/12 - 5/12 + x  =    1/2 - 5/12

0                  +x =    6/12 - 5/12      (as 1/2 = 6/12)

So x = 1/12

Regards, MrB

8 0
3 years ago
Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart. Algebraically det
Karo-lina-s [1.5K]

Answer:

Here is the full question:

Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations  and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart.

Graph the two struts on the model of the roller coaster. Take a screenshot of your graph and paste the image below, or sketch a graph by hand.

Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.

(a) Algebraically determine the x -value of where the beam should be placed.

(b) Explain where to place the beam

Step-by-step explanation:

Find attached the graphing calculator.

(a) The x-value where the beam should be placed is x = -4

(b) The beam should be placed directly above 4 feet from the center.

4 0
3 years ago
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