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3 years ago

5

Matthew is using a microscope in science class. The microscope magnified the specimen 4x10^2 . If the specimen is 3cm long how l

ong will the magnified specimen appear to be?

1 answer:

choli [55]3 years ago

5 0

Answer:

12 meters

Step-by-step explanation:

The apparent size is ...

(4·10^2)·(3 cm) = 12·10^2 cm = 12 m

___

1 m = 10^2 cm

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

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3 years ago

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<span>Since there are 5280 feet per mile:
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= 116160 feet per hour
</span>

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4 years ago