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postnew [5]
2 years ago
14

A researcher claims that a post-lunch nap decreases the amount of time it takes to run 20 meters. Ten subjects are randomly sele

cted. The data below list the amounts of time (in seconds) it took the ten subjects to run 20 meters without and with a post-lunch nap. In each data vector, the data are presented in order by subject.
Without a nap: 4.07, 3.94, 3.92, 3.97, 3.92, 3.96, 4.07, 3.93, 3.99, 4.02
With a nap: 3.93, 3.87, 3.85, 3.92, 3.90, 3.85, 3.92, 3.80, 3.89, 3.89

Required:
a. Identify the claim and state.
b. What is the​ claim?

1. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.
2. A night with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters.
3. A​ post-lunch nap increases the amount of time it takes males to sprint 20 meters.
4. A​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters.
Mathematics
1 answer:
MakcuM [25]2 years ago
5 0

Answer:

4. A​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters.

Step-by-step explanation:

This question wants us to state the claim and the hypothesis.

This researchers claim can be found in the first sentence of this question.

Claim: post lunch nap decreases the time it takes to run for 20 meters.

The correct answer option for the claim is the 4th answer option. And it means that sleeping after lunch reduces the time it takes males to run in a 20m race.

B. Hypothesis

H0: Ud <= 0

H1: Ud > 0

d = is the race time without a nap - race time with a nap

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Answer:

Given: AC=1

∠A=0

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2 years ago
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What is three fourths times five sixths
natta225 [31]
<u>3</u> x <u>5
</u><u />4    6
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multiply the denominators (bottom numbers) =   24

you can reduce the fraction by dividing top and bottom of the fraction by 3
<u>15</u>÷3= <u>5</u>
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3 years ago
Which of the following shows that EFGH is a parallelogram for y=7 and z=9?
Anna35 [415]

Option B: m \angle F=m \angle G=120^{\circ} and m \angle E=60^{\circ}, so \angle E is supplementary to both \angle F and \angle G, so EFGH is a parallelogram.

Option C: m \angle F=m \angle G=120^{\circ} so EFGH is a parallelogram.

Option D: m \angle E+m \angle G=180^{\circ} so EFGH is a parallelogram.

Explanation:

Option A: m \angle E=m \angle F=60^{\circ} and m \angle G=120^{\circ} so \angle G is supplementary to both \angle E and \angle F, so EFGH is a parallelogram

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Substituting, we get, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Thus, m \angle E\neq m \angle F because the measures of these angles are not equal.

Hence, Option A is not the correct answer.

Option B:  m \angle F=m \angle G=120^{\circ} and m \angle E=60^{\circ}, so \angle E is supplementary to both \angle F and \angle G, so EFGH is a parallelogram.

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Thus, substituting, we have, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Hence, Option B is the correct answer.

Option C: m \angle F=m \angle G=120^{\circ} so EFGH is a parallelogram.

To determine the angles, let us substitute z=9 in  m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ}

Thus, m \angle F=m \angle G=120^{\circ}

Since, the opposite angles of a parallelogram are equal, EFGH is a parallelogram.

Hence, Option C is the correct answer.

Option D: m \angle E+m \angle G=180^{\circ} so EFGH is a parallelogram.

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Substituting, we have, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Adding the angles E and G, we have,

m \angle E+m \angle G=60^{\circ}+120^{\circ}=180^{\circ}

By the property of parallelogram, any two adjacent angles add upto 180.

Thus, the adjacent angles E and G add upto 180.

Hence, Option D is the correct answer.

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3 60/79

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79× 3 = 237

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#The bottom part of the fraction stay the same so,

297/79

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