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2 years ago

Tortoise A walks 52.0 feet per hour and tortoise B walks 12 inches per minute. Which tortoise travels faster?

2 answers:

mihalych1998 [28]2 years ago

5 0

Tortoise B because if you times 52 by 12 to convert it to inches you get 624. Okay now you gonna turn one hour to mins. By making it 60m.

its 624inches over 60minutes. Now you divide 60 to 624 and get

10.4inches per 1m
Verses 12inches per 1m.

B is faster by 2.6inches per minute.

dlinn [17]2 years ago

3 0

Answer:

Tortoise B travels faster than tortoise A.

Step-by-step explanation:

Tortoise A walks 52.0 feet per hour

We have to convert the speed of Tortoise A inches/min.

1 feet = 12 inches

52 feet = 12 × 52 = 624 inches

1 hour = 60 minutes

Speed = $\frac{Distance}{time}$

so speed of tortoise A = $\frac{624}{60}$

= 10.4 inches / min.

Tortoise B travels 12 inches/min. and Tortoise A walks 10.4 inches/min.

Therefore, Tortoise B travels faster than tortoise A.

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2 years ago

In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

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2 years ago