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Free_Kalibri [48]
2 years ago
9

Answer the following questions and round your answers to 2 decimal places. 84% of all Americans live in cities with population g

reater than 50,000 people. If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.
Mathematics
1 answer:
nignag [31]2 years ago
4 0

Answer:

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

84% of all Americans live in cities with population greater than 50,000 people.

This means that p = 0.84

If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.

This is P(X = 42) when n = 50. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 42) = C_{50,42}.(0.84)^{42}.(0.16)^{8} = 0.1523

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

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vfiekz [6]

Answer:  The correct answer is:  [B]:  

____________________________________

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Explanation:  

We are asked to solve:   |2/3-3/2|3^2-17/3  ;  

Let's rewrite this problem as:  

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Simplify:

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7 0
3 years ago
Imagine a player getting ready for a tournament. He has 4 games to play during the day: 9:00 a.M., 11:00 a.M., 1:00 p.M., and 3:
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Answer:

by game 3(at 1:00 p.m.)

temperature increases to 5 degrees at 1:00 p.m

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3 years ago
Cindi is planting a rectangular flower bed with 40 orange flower and 28 yellow flowers. She wants to plant them so that each row
Vilka [71]

Answer: 17 rows, 7 of yellow flowers and 10 of orange flowers.

Step-by-step explanation:

We have 40 orange flowers

we have 28 yellow flowers.

The total number of flowers is 40 + 28= 68

Now, we want to find the maximal comon factor between 28 and 40 (that will be the number of flowers in each row)

for this, we took the smallest number and find its factors, and then we see if those factors are also of the greater number.

28/1 = 28 ----> 40/28 is not integer, so 28 is not a factor of 40.

28/2 = 14 ----> 40/14 is not integer, so 14 is not a factor of 40.

28/3 is not integer.

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Then the maximum number of flowers that we can put in each row is 4.

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3 0
3 years ago
Find the equation of the line that is perpendicular to x - y = -5 and passes through (4, 7).
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X - y = -5
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y = x + 5...slope here is 1. A perpendicular line will have a negative reciprocal slope. All that means is flip ur slope and change the sign. So our perpendicular line will have a slope of -1.

y = mx + b
slope(m) = -1
(4,7)...x = 4 and y = 7
now we sub and find b, the y int
7 = -1(4) + b
7 = -4 + b
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so ur perpendicular equation is : y = -x + 11 <==
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3 years ago
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liberstina [14]

Answer:

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3 0
3 years ago
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