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n200080 [17]
3 years ago
6

A university has ten dormitories for students. All of the dormitories have students of similar ages and offer the same convenien

ces. The director of housing wants to gather data by using a questionnaire with a sample of 100 students who live in the dormitories. Which of the following is the most statistically reliable method to gather that data? A,Take the list of all students who live in all ten dormitories. Randomly select 10 students from each of the dormitories to complete the questionnaire.
B.Send the questionnaire to every student who lives in a dormitory. Offer prizes to the first 10 students from each dormitory that completes the questionnaire.
C. Have volunteers walk around campus and randomly interview students. Give the questionnaires to the first 100 students who say they live in a dormitory.

D. Select one of the ten dormitories at random. Then randomly select 100 stu
dents from the list of all students who live in that dormitory to complete the questionnaire.
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

a is correct

Step-by-step explanation:

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Exterior of scalene triangle sides are 25 and 15 and x. solve x.
Lyrx [107]

-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.

-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.

-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends. 

So the value of 'x' must satisfy these conditions:

<em>0 < x < 15</em>
<em>15 < x < 25</em>
<em>25 < x < 40</em>

Any number that satisfies these conditions is an acceptable value for 'x'.


5 0
3 years ago
Read 2 more answers
A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}&#10;The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
What is the rate of change of the linear relationship modeled in the table?
Lisa [10]
The correct answer is 3/2.

Slope = Rate Of Change 

Slope Formula:        y₂ - y₁          5 - 2         3
                               -------------- = ---------- = -----
                                   x₂ - x₁          3 - 1         2

I hope that this helps you!

Btw, ₁ and ₂ are subscripts, they do not have anything to do with the actual working of the problem. 
7 0
3 years ago
Write the equation in slope intercept form y= 3 (x+ 1) + 5x
schepotkina [342]

Given:

y=3(x+1)+5x

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

\begin{gathered} y=3(x+1)+5x \\  \\ y=3x+3+5x \\  \\ y=8x+3 \end{gathered}

Final Answer:

y=8x+3

5 0
11 months ago
Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sell
enot [183]

Answer:

9x = 120

x= \frac{43}{3}

Step-by-step explanation:

5 0
3 years ago
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