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ch4aika [34]
3 years ago
15

Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some pe

anut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Complete question is;

Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?

A) On average, girls like peanut butter more than boys.

B) The person who rated peanut butter the worst was a boy.

Reactivate

C) Girls varied more in how they liked peanut butter than the boys did.

D) There is not enough information to know if any of the above are true

Answer:

Option C) Girls varied more in how they liked peanut butter than the boys did.

Step-by-step explanation:

From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..

This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.

The range of the girls responses are far higher than that of the boys.

So it means their ratings were more varied and not within similar ratings scale.

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The measure of the side SQ from the given diagram is 19/6

<h3>Similar shapes</h3>

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP =  3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6  - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

Learn more on similar triangles here: brainly.com/question/4163594

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