20 = 2 x 2 x 5
15 = 3 x 5
common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.
If there are more than one CD, then there are more than one answer.
If they ask for the largest number of groups, greatest common divisor (GCD) will be the answer.
Answer:
<em>H</em>₀: <em>μ </em>= 550 vs. <em>Hₐ</em>: <em>μ </em>< 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is <em>μ </em>= 550 with a standard deviation of <em>σ</em> = 120.
A random sample of <em>n</em> = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
<em>H</em>₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. <em>μ </em>= 550.
<em>Hₐ</em>: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. <em>μ </em>< 550.
<u>To find the constant of proportionality:</u>
⇒ must define constant of proportionality
⇒ <em>Constant of Proportionality: ratio of two proportional values at a </em>
constant value
⇒ (in this case) two proportional values are x and y
<u>The ratio between x and y is equal to</u>

<u>Answer:</u> <u>55</u> or <u>Choice 1</u>
<u></u>
Hope that helps!
We assume that the dimension 5 has units of feet.
The area of each triangle will be
A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
A = (1/2)(2×5 ft)(5 ft)(tan(54°)
A = 25×tan(54°) ft²
There are 5 such triangles making up this pentagon, so the total area is
total area = 5×25×tan(54°) ft²
≈ 172 ft²
Answer:
3:7
Step-by-step explanation:
18/6(largest factor)=3
42/6(largest factor)=7