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Sunny_sXe [5.5K]
3 years ago
8

For a more difficult training session, the mass to be pushed is increased to 160 kg. If the players still push with a force of 1

50 N, what is the acceleration of the objection?
Use Newton's law:
F=ma
150 N=
Mathematics
1 answer:
leva [86]3 years ago
8 0

As you already written, you have to use Newton's law

F=ma

where F is the force, m is the mass, and a is the acceleration.

You already know the mass and the force, so you have to solve the equality for the acceleration:

a = \dfrac{F}{m}

plug the given values:

a = \dfrac{150}{160} = \dfrac{15}{16} = 0.9375

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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
The diameter of a circle that has an area of 452.16 mm
irinina [24]
The diameter is 24 since if you ÷ it by 2 you get 12 to get area it is radius squared so 12 × 12= 144×pi which is 3.14= 452.16 mm you can even check in a calculator
3 0
3 years ago
One focus of a hyperbola is located at (-7, 1). One vertex of the hyperbola is located at
inna [77]

Answer:

(x+2)^2/16 - (y-1)^2/9 = 1

Step-by-step explanation:

I just did this problem for edgen 2020.

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Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

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I JUST WANT TO THANK EVERYONE FOR HELPING ME
ololo11 [35]

Answer:

yw!

Step-by-step explanation:

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