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IceJOKER [234]
4 years ago
12

g If A and B are disjoint events, with P( A) = 0.20 and P( B) = 0.30. Then P( A and B) is: a. .00 b. .10 c. .50 d. 0.06

Mathematics
1 answer:
Lostsunrise [7]4 years ago
8 0

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

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mars1129 [50]

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

8 0
2 years ago
How many different committees of 5 people can be formed out of 10?
aliina [53]
The answer is 2 because you have to divide 10 by 5 and the answer is 2<span />
6 0
3 years ago
Write the inequality shown in this graph.
kykrilka [37]

Answer:

y > -1/2 x + 4

Step-by-step explanation:

Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-4)/(2-4)= (x-0)/(4-0)

(y-4)/-2 = x/4

(-y+4)/2 = x/4

-y+4 = 1/2 x

-y = 1/2 x - 4

y = -1/2 x + 4

the solutions of the inequality are the points above this line, so

y > -1/2 x + 4

8 0
3 years ago
Let x have a normal distribution with mean µ = 30 and standard deviation σ = 10. calculate p(x &gt; 40), and round your answer t
Gnesinka [82]

The random variable X is normally distributed with mean μ=30 and standard deviation σ =10. Use the transformation \frac{X-\mu}{\sigma} for calculating the probability. This value is called Z-score.

The Z score is Z=\frac{40-30}{10} =1.

Refer to the standard normal distribution table.

The probability

P(X>40)=P(Z>1)=1-P(Z

8 0
3 years ago
What is the slope of line represented by 1/8x + 3y =3
Evgen [1.6K]
1/8x+3y=3
subtract 1/8x from both sides

3y=-1/8x+3
divide both sides by 3

y=-1/24x+1

ANSWER: the slope should be -1/24
8 0
3 years ago
Read 2 more answers
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