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3 years ago

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.

1 answer:

4 0

V=hpir^2

tricky, they didn't give us radius
they just gave circiufmerece

c=2pir
25.12=2pir
divide by 2 both sides
12.56=pir
divide by 3.14 both sides
4=r

subsitutet

v=hpir^2
v=66pi4^2
v=66pi16
v=1056pi
v=3315.84 cubic inches

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Suppose that a vaccine is 85% effective against the flu. You vaccinated 6 people. How many of the 6 vaccinated people do you exp

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<h3>5 of the 6 vaccinated people will be protected from the virus</h3>

<em><u>Solution:</u></em>

Given that,

Suppose that a vaccine is 85% effective against the flu

You vaccinated 6 people

To find: Number of people you expect will be protected from the virus

From given,

85 % of 6 people are effective against the flu

Which means,

$\rightarrow 85 \% \text{ of } 6\\\\\rightarrow \frac{85}{100} \times 6\\\\\rightarrow 0.85 \times 6\\\\\rightarrow 5.1 \approx 5$

Thus, 5 of the 6 vaccinated people will be protected from the virus

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3 years ago

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Answer:

Step-by-step explanation:

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givi [52]

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Question Help Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use

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Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.

c) 2.5% percentage of people has an IQ score greater than 120.

Step-by-step explanation:

The empirical formula states that:

The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
68% of data falls within the first standard deviation that is $\mu \pm \sigma$

95% of data falls within the second standard deviation that is $\mu \pm 2\sigma$

99.7% of data falls within the third standard deviation that is $\mu \pm 3\sigma$

a) percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

$(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)$

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

$(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)$

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

$= 1 - (95\% + 2.5\%) = 2.5\%$

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

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2 years ago

Use the theoretical method to determine the probability of the following event. A randomly selected person has a birthday in Nov

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Answer:

There is an 8.22% probability that a randomly selected person has a birthday in November.

Step-by-step explanation:

The theoretical method to find the probability is the division of the number of desired outcomes by the number of total outcomes.

A randomly selected person has a birthday in November

There are 365 days in a year, so the number of total outcomes is 365.

There are 30 days in november, so the number of desired outcomes is 30.

So the probability is

$P = \frac{30}{365} = 0.0822$

There is an 8.22% probability that a randomly selected person has a birthday in November.

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3 years ago