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vredina [299]
3 years ago
13

Please Answer This N o w

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

7 it's 7 cause 7 is at the bottom and on top it showing that top and bottom and they are the smae height

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The probability that an Oxnard University student is carrying a backpack is .70. If 10 students are observed at random, what is
Rus_ich [418]

Answer:

35.03% probability that fewer than 7 will be carrying backpacks

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are carrying a backpack, or they are not. The probability of a student carrying a backpack is independent from other students. 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.

The probability that an Oxnard University student is carrying a backpack is .70.

This means that p = 0.7

If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks

This is P(X < 7) when n = 10. So

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

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

P(X = 0) = C_{10,0}.(0.7)^{0}.(0.3)^{10} = 0.000006

P(X = 1) = C_{10,1}.(0.7)^{1}.(0.3)^{9} = 0.0001

P(X = 2) = C_{10,2}.(0.7)^{2}.(0.3)^{8} = 0.0014

P(X = 3) = C_{10,3}.(0.7)^{3}.(0.3)^{7} = 0.0090

P(X = 4) = C_{10,4}.(0.7)^{4}.(0.3)^{6} = 0.0368

P(X = 5) = C_{10,5}.(0.7)^{5}.(0.3)^{5} = 0.1029

P(X = 6) = C_{10,6}.(0.7)^{6}.(0.3)^{4} = 0.2001

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.000006 + 0.0001 + 0.0014 + 0.0090 + 0.0368 + 0.1029 + 0.2001 = 0.3503

35.03% probability that fewer than 7 will be carrying backpacks

4 0
4 years ago
Two cars are traveling in the same direction. The first car is going 40 mi/h and the second car is going 55 mi/h. The first car
dexar [7]

Answer:

The equation you are asking for is

40*(t+3) = 55*t,

where t is the time counted after the second car started.

The equation says that the distance covered by each car from the starting point to the catching point is the same for both cars.

Step-by-step explanation:

7 0
3 years ago
Need help in number 30 please help
Mariana [72]
Y^2-9y+81 can not be factored with any rational numbers
5 0
3 years ago
What is the radius of a sphere with a volume of 5764\text{ cm}^3,5764 cm 3 , to the nearest tenth of a centimeter?
Sidana [21]

Answer:

To find the radius of a sphere with the volume, we use the formula: r = (3V/4π)

Step-by-step explanation:

3 0
3 years ago
Please solve for the value of 3
borishaifa [10]

Answer:

P = 45

Step-by-step explanation:

180 - 90 = 90

90 / 2 = 45

P = 45

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!</em>

4 0
2 years ago
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