Answer:
n=3.5
Step-by-step explanation:
2²=4
14÷4=3.5
3.5×4=14
3.5×2²=14
Answer:
The degrees of freedom is 11.
The proportion in a t-distribution less than -1.4 is 0.095.
Step-by-step explanation:
The complete question is:
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion
Solution:
The information provided is:

Compute the degrees of freedom as follows:


Thus, the degrees of freedom is 11.
Compute the proportion in a t-distribution less than -1.4 as follows:


*Use a <em>t</em>-table.
Thus, the proportion in a t-distribution less than -1.4 is 0.095.

To solve for x, we have to remember to isolate the variable.

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

Let's distribute the 0.5 first.


Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

Then, we simplify the entire expression.


Our equation now:

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.


Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.


Finally, we divide both sides by 6 to isolate x.


Answer:
Yes, x and y have a proportional relationship.
Step-by-step explanation:
A proportional relationship means that, when comparing two quanities, that they are both changing at a constant (same) amount. When looking at a table to compare quantities, you can see that the pounds of tomatoes 'x' is increasing by one (1) each time. If you look at the amount spent in dollars 'y', you can see that for each pound (x), the cost is increasing by $4. So, since for every pound of tomatoes that is purchased increases by $4, then their relationship is proportional.