Answer:
72 × 3 = 216m
216 m is the combined length
Y = 1/2 +7
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Answer:

Yes, y is a function of x.

Step-by-step explanation:
For a proportional relation, the equation is given by:

where k is the unit rate of change.
We were told that, Lin's sister earns $9.6 per hour.
This means k=9.6.
We substitute to get:

We could rewrite this as

Yes, y is a function of x.
To obtain an equation describing x as a function of y, we solve for x to get:

Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are
and
.
The ratio of
is
.
The reason why it ideally should be
and not
is because the question states
, which mentions
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
The most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Step-by-step explanation:
The Independent Samples t-test examines the means of two independent groups to see if statistical evidence exists to show that the related population means differ significantly.
The Independent Samples t-test is also known as Independent t-test, Independent Two-sample t-test, and among others.
It should be note that only two (and only two) groups can be compared using the Independent Samples t-test. It is not possible to use it to make comparisons between more than two groups.
Therefore, the most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.