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crimeas
2 months ago
10

Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?

Mathematics
1 answer:
zzz [12.3K]2 months ago
8 0

Response: It will require him 1 hour and 35 minutes

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a kayak travels in a lake at an average speed of 35m/min. if the perimeter of a lake was 8400 m how many hours does it take for
Inessa [12570]

Answer:

I believe it takes 4 hours

Step-by-step explanation:

8400m ÷ 35m = 240 mins

240 mins = 4 hours

6 0
1 month ago
In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of
tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

H_0:p=0.08\\\\ H_a: p\neq0.08

∵ H_a this is a two-tailed test.

Test statistic:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where p= denotes the population proportion

{\hat{p} = signifies the sample proportion

n= represents the sample size

Setting n= 6 and {\hat{p}=\dfrac{6}{88}\approx0.068 and p=0.08

z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}

z=\dfrac{-0.012}{0.0289199522192}\approx-0.415

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

8 0
1 month ago
In July, the average temperature in one US city was 29°C. By December, the average temperature had fallen by 29°C. Explain why t
tester [12383]
The temperature increased by 29°C, which indicates a positive change of 29. Then, it decreased by 29°C, reflecting a negative change. The average temperature experienced equal increases and decreases, leading to identical absolute values and resulting in a difference of 0.
7 0
2 months ago
Read 2 more answers
Each trapezoid in the figure below is congruent to trapezoid ABDC.
Inessa [12570]

Response:

B: 32 cm

To clarify, one should only sum the external measurements

6+6+4+4+3+3+3+3=32 cm

3 0
1 month ago
Read 2 more answers
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