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12345 [234]
2 years ago
12

Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper

B right-parenthesis equals 0.5. Then Upper P left-parenthesis Upper A intersection Upper B right-parenthesis is____________.
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
3 0

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

P (X\cap Y)=P(X)\times P(Y)

It is provided that events <em>A</em> and <em>B </em>are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

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3 years ago
Research indicates that the leading brand of laundry detergent accounted for 35% of the 400,000 total sales in the marketplace.
Lesechka [4]

Answer:

140,000

Step-by-step explanation:

Take 400,000 * 0.35 = 140,000.

When given a percentage, take the number and divide by 100.

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In this case 400,000 * 0.35

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2 years ago
CONSTRUCTION You are asked to copy a segment CD, construct a segment bisector by paper folding, and label the
lilavasa [31]

The steps on the construction of a segment bisector by paper folding, and label the midpoint M is given below.

<h3>What are the steps of this construction?</h3>

1. First, one need to open a Compass so that it is said to be more than half the length of the said segment.

2. Without altering it, with the aid of the compass, do  draw an art above and also below the said line segment from one of the segment endpoints.

3. Also without altering it and with use the compass, do draw another pair of arts from the other and points. One arc will be seen above the segment and the other or the second arc will be seen below.

4. Then do draw the point of intersection that is said to exist between the pair of arts below the line segment and also in-between the pair of arts as seen  below the line segment

5. Lastly, do make use of a straight edge to link the intersection points between the both pair of arts.

Learn more about segment bisector from

brainly.com/question/24736149

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5 0
1 year ago
HELP PLEASE !!!!!!!!!!
Arada [10]

Answer:

Answer B   (-\infty,1)U(1,2]

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

h(x)=\frac{\sqrt{2-x} }{x-1}

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

2-x\geq 0\\2\geq x\\x\leq 2

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

x-1=0\\x=1

Then, x\neq 1

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then:  (-\infty,1)U(1,2]

8 0
3 years ago
1 feet = _____ inches A.2 inches B.12 inches C.1.2 inches D.1 inch​
Advocard [28]

Answer:

its B!!!!!!

Step-by-step explanation:

have great day

7 0
2 years ago
Read 2 more answers
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