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nirvana33 [79]
2 years ago
6

Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B),

rounding to the nearest thousandth, if necessary.
Mathematics
1 answer:
Stolb23 [73]2 years ago
6 0

Answer:

0.9

Step-by-step explanation:

Since A and B are independent  hence;

P(A∩B) = P(A)P(B)

Given the following

P(A∩B) = 0.27

P(A) = 0.3

Required

P(B)

Substitute into the formula;

P(B) = P(A∩B)/P(A)

P(B) = 0.27/0.3

P(B) = 0.9

Hence the value of P(B) is 0.9

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Anna71 [15]

Answer: 3\sqrt{13}

Step-by-step explanation:

\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}

=3\sqrt{13}

6 0
3 years ago
Solve st + 3t = 6 for s
vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t  - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t


6 0
3 years ago
57 1/2 as a decimal, Please help and Thanks
Nimfa-mama [501]
The answer is 57.5 because 57 represents a whole number and 1/2 equals .5 so 57.5.

People who answer the question will get a thank you!

4 0
3 years ago
9. The results of a random survey is displayed in the histogram as shown.
natali 33 [55]

The number of people in the sample survey is 75.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.

The sample survey has

5 people in 1-4 miles per week

10 people in 5-8 miles per week

15 people in 9-12 miles per week

20 people in 13-15 miles per week

25 people in 16-19 miles per week

The number of people in the sample survey is

5 + 10 + 15 + 20 + 25

=5(1 + 2 + 3 + 4 + 5)

=5(15)

=75

Hence, the number of people in the sample survey is 75.

Learn more about sampling survey here-

brainly.com/question/24564273

#SPJ10

7 0
2 years ago
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Ivahew [28]

Answer:

10x2y3 -4xy2

Step-by-step explanation:

Just take the like terms and separate them-

1) 4x2y3 - (-7x2y3)= 10x2y3

2)2xy2 - 6xy2= -4xy

3)-2y - (-2y)= 0y

Hope this helps :)

8 0
3 years ago
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