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Galina-37 [17]
3 years ago
8

Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

0

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A <em>and </em>B occuring is 0 (because P(A∩B)= 0)

You might be interested in
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 ga
Law Incorporation [45]

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}

5 0
3 years ago
Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0
3 years ago
7/2x+1/2x = 18+ 9/2x
chubhunter [2.5K]

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

4x=18+\frac{9}{2} x

-9/2x       -9/2x

-\frac{1}{2} x=18   because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

(\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)

which then cancels out -1/2 and makes it

x=-36

4 0
3 years ago
Write all the prime numbers between 10 and 30.​
insens350 [35]
It's 11, 13, 17, 19, 23 and 29.
5 0
3 years ago
MARKING BRINLEST RIGHT NOWW HURRYY
natima [27]

Answer:

$275

Step-by-step explanation:

So she put $60 into savings....

X is the amount of her paycheck...

after buying the clothes she had X-75

She spend (2/5)(x-75)  on books

The amount deposited into saving and spent on groceries totals 120.

So

X = 75 + (2/5)(x-75) + 120

X = (2/5)(X-75) + 195

X = (2/5)X - 30 + 195

X = (2/5)X + 165

(3/5)X = 165

X = 165*5/3 = 5*55 = 275

Starts with 275

spent 75 on clothes, which makes it 200.

2/5 of 200 is 80, which makes it 120.

60 deposited into savings and 60 on groceries

Her paycheck was 275

6 0
3 years ago
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