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Vitek1552 [10]
2 years ago
7

A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimat

e the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, “How many minutes per day, on average, do you spend visiting social media sites?"
Which of the following is the most appropriate inference procedure for the sociologist to use?

A one-sample z-interval for a population proportion

A

A one-sample t-interval for a population mean

B

A matched-pairs t -interval for a mean difference

C

A two-sample z-interval for a difference between proportions

D

A two-sample t-interval for a difference between means
Mathematics
1 answer:
Sindrei [870]2 years ago
3 0

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a  one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

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Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t
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Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

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2 years ago
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Answer: 30.72 miles per gallon

To find <span>best approximate for the average gas mileage at a speed of 60 miles per hour you need to replace the variable x with 60. The calculation would be:

</span><span> y=−0.0088x2+0.79x+15
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y= 30.72
</span>
5 0
2 years ago
Read 2 more answers
Alice has a 4-inch by 5-inch photo of your school’s championship girls’ ice hockey team. To celebrate their recent
Pachacha [2.7K]

Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.

Step-by-step explanation:

Step 1:

In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.

We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.

Step 2:

The original photo was a 4-inch by 5-inch photo.

Option 1 is 7-inch by 9-inch, so the ratios are

\frac{7}{4} = 1.75, \frac{9}{5} = 1.8. The ratios are different so this cannot be the enlarged photo's dimensions.

Option 2 is 8-inch by 10-inch, so the ratios are

\frac{8}{4} = 2, \frac{10}{5} = 2. The ratios are the same so this can be the enlarged photo's dimensions.

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So the enlarged-photo with dimensions of 8-inch by 10-inch should be picked.

7 0
2 years ago
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin
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I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

Given

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Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

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Hence,

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Volume = Edge^3

Substitute 2 + 5m for Edge

Volume = (2 + 5m)^3

Represent Volume as a function of m

V(m) = (2 + 5m)^3

4 0
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