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Varvara68 [4.7K]
3 years ago
12

The expression 1662 models the distance in feet that an object falls during t seconds after being dropped. What distance will an

object fall in 4 seconds
Mathematics
1 answer:
Lunna [17]3 years ago
6 0
100 center meters I think that should be right
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Fredericka can make 65 percent of her shots from the free-throw line. If she shoots 75 times, how many shots can she expect to m
Andrei [34K]

Answer:

Multiply the number of attempts by the percentage:

75 attempts x 0.65 = 48.75

Round up to 49 shots.


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The slope of the line?
Ostrovityanka [42]
The slope of this line is 3/2.
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4 years ago
There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to p
alexira [117]

Answer:

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

Step-by-step explanation:

There are 1000 future terrorists in a population of 300,000,000. So the probability that a randomly selected person in this population is a terrorist is:

P = \frac{1,000}{300,000,000} = 0.000003 = 0.0003%

So, we have these following probabilities:

A 99.9997% probability that a randomly chosen person is not a terrorist.

A 0.0003% probability that a randomly chosen person is a terrorist.

A 98% probability that a future terrorist is correctly identified

A 99.9% chance of correctly identifying someone who is not a future terrorist. This also means that there is a 0.01% probability of someone who is not a terrorist being identified as one.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Here we have:

What is the probability that the person is a terrorist, given that she was identified as a terrorist.

P(B) is the probability that the person is a terrorist. So P(B) = 0.000003

P(A/B) is the probability that the person was identified as a terrorist, given that she is a terrorist. The problem states that the system has a 98% chance of correctly identifying a future terrorist, so P(A/B) = 0.98

P(A) is the probability of a person being a identified as a terrorist. So

P(A) = P_{1} + P_{2}

P_{1} is the probability that a person is a terrorist and was identified as one. So:

P_{1} = 0.000003*0.98 = 0.00000294

P_{1} is the probability that a person is not a terrorist and, but was identified as one. So:

P_{2} = 0.999997*0.0001 = 0.0000999997

So

P(A) = P_{1} + P_{2} = 0.00000294 + 0.0000999997 = 0.000103

The answer is:

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.000003*0.98}{0.000103} = 0.028544

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

3 0
3 years ago
The perimeter of the following figure is 18.6 inches. What is the length of n?
Blababa [14]

For this case we have by definition, that the perimeter of the figure will be given by the sum of its sides, that is:

n + 3 + 6.3 + 4.5 = 18.6

We add similar terms:

n + 13.8 = 18.6\\n = 18.6-13.8\\n = 4.8

Thus, the correct option is option b. That is, 4.8 \ in

Answer:

4.8 \ in

8 0
3 years ago
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