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Dafna1 [17]
2 years ago
15

The Weslaco Pacesetters perform between 4

Mathematics
2 answers:
timofeeve [1]2 years ago
5 0

Answer:

4 per week, 4weeks per month(8weeks)

4*8=32

madam [21]2 years ago
4 0

Answer:

32 dances

Step-by-step explanation:

4 weeks in a month, 4 dances a week equals 16

16 time 2 equals 32

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Total Pay = Base Salary + Commissions, and here that equation is:

Total Pay = $150 + 0.14(Total of sales for the week).

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Aristotle was born in 384 BC. Ron Howard was born in 1952 AD. HOW many years apart were they born?
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The answer is 2336 cause bc was before Christ ad us after death so if we add them that's the answer
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GRE Test: The Graduate Record Examination (GRE) is a test required for admission to many US graduate schools. Student’s scores o
Zepler [3.9K]

Answer:

a) \bar X=144.3

b) The 95% confidence interval would be given by (138.846;149.754)      

c) n=34

d) n=298

e) n=1190

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".

We can calculate the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

\bar X=144.3 represent the sample mean  

\mu population mean (variable of interest)

\sigma=8.8 represent the population standard deviation

n=10 represent the sample size  

a) Find a point estimate of the population mean

We can calculate the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

\bar X=144.3

b) Construct a 95% confidence interval for the true mean score for this population.

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that t_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

144.3-1.96\frac{8.8}{\sqrt{10}}=138.846    

144.3+1.96\frac{8.8}{\sqrt{10}}=149.754

So on this case the 95% confidence interval would be given by (138.846;149.754)    

Part c

The margin of error is given by this formula:

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

And on this case we have that ME =+20 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (5) we got:

n=(\frac{1.960(8.8)}{3})^2 =33.05 \approx 34

So the answer for this case would be n=34 rounded up to the nearest integer

Part d

n=(\frac{1.960(8.8)}{1})^2 =297.493 \approx 298

So the answer for this case would be n=298 rounded up to the nearest integer

Part e

n=(\frac{1.960(8.8)}{0.5})^2 =1189.97 \approx 1190

So the answer for this case would be n=1190 rounded up to the nearest integer

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Answer:

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Step-by-step explanation:

Distribute the 3

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The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box

The matter has three main states which are

  • Solid
  • Liquid
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These states define the way we interact and manipulate materials. For instance:

  • Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
  • Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
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According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.

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7 0
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