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3 years ago

A rabbit runs at a rate of 25 miles per hour. Write a rule to describe the function.

Mathematics

1 answer:

denis-greek [22]3 years ago

5 0

For every hour a rabbit runs 25 miles.

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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 X be defined as the number of students at a particular college who are smokers

The random variable X 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:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

$np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10$

Thus, a Normal approximation to binomial can be applied.

So,

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

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)

= P (X > 280.50)

$=P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z$

*Use a z-table for the probability.

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

8 0

3 years ago

WHICH OF THE FOLLOWING IS TRUE: LOVE YOU IF ANSWERED!!

Anna71 [15]

The answer is b. The 2 will make it stretched vertically.

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4 years ago

The supply equation of a certain commodity is given by the equation: p = 20 + 3 where p is the price (in dollars) and s is the q

andrezito [222]

1.50 is charging but if p= 20 + 3 and that 23 then p is 23 divided by 1.50 and that going to be your answer

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3 years ago

dave picked 1/5 of a pound strawberries.that afternoon daves sister ate 4/5 of the strawberries.how many pounds of strawberries

Yanka [14]

Answer:

I dont know but If that was my sister she would be dead

Step-by-step explanation:

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3 years ago

the sign of the product of two integers with the same sign is positive what is the sign of the product of 3 integers with the sa

hammer [34]

The answer would be positive if all 3 signs were the same. Yes, the product of two integers with the same sign will be positive, but that goes for any number of integers as long as they still have the same sign.

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3 years ago