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Debora [2.8K]
3 years ago
7

What is the lateral area of the cone? Plz help fast I will mark brainliest to the first correct answer ASAP

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Lateral area of the cone -> A = π . r . g

r = radius

g = slant

A = π . 12 . 15

A = 180π in²

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alisha [4.7K]

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Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i
vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

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Check the conditions as follows:

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Thus, a Normal approximation to binomial can be applied.

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X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

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*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0
3 years ago
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