You roll a six-sided number cube. Which events are mutually exclusive? A) rolling a multiple of 2 and a multiple of 4
B) rolling a multiple of 3 and a multiple of 6
C) rolling an even number and an odd number
D) rolling a prime number and an even number

Answers

Answer 1

Answer: mutually exclusive is the events which couldn't happen at the same time, so I suggest you to go with this: C) rolling an even number and an odd number

Answer 2

Answer:

Answer: C) rolling an even number and an odd number

Step-by-step explanation:

For any event A and B , we say they are mutually exclusive if they are disjoint such that there have no elements in common.

Let's check all the options:

A) rolling a multiple of 2 and a multiple of 4

Multiple of 2 on dice = 2,4,6

Multiple of 4 on dice = 4

They are not disjoint since 4 is the common element.

B) rolling a multiple of 3 and a multiple of 6

Multiple of 3 on dice = 3,6

Multiple of 6 on dice = 6

They are not disjoint since 6 is the common element.

C) rolling an even number and an odd number

Even number on dice = 2,4,6

Odd number on dice = 1,3,5

∴ They are disjoint event as they have no common element.

D) rolling a prime number and an even number.

Prime number on dice = 2,3,5

They are not disjoint since 2 is the common element.

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What is the reciprocal of –5?A.
–5

B.
- 1/5

C.
1/5 d 5 next question divide Express your answer in lowest terms. 2/9 dived 1/4

Answers

-5 is the same as -5/1

Flip the fraction:

-1/5

2/9 / 1/4

Flip the 2nd fraction and multiply:

2/9 * 4/1

Multiply the numerators and denominators:

8/9

It is d (trust me im awesome) :P :) hope i helped (1/5 is correct
)

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

For independent events these formulas will be:

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?x − y = −1

x − y = −2

x − y = − 5

x − y = − 6

Answers

Hello,

y-3=(7-3)/(2+2)(x+2)==>y-3=x+2==>x-y=-5
Answer C

When dividing both sides of an inequality by an integer we must reverse the inequality symbol

Answers

no, you only reverse the inequality symbol when you divide both sides by a negative whole number.

If dividing a number by a negative integer, that is the only time you would reverse the inequality symbol.

Which angle forms a linear pair with ∠ABD

Answers

Answer:

I believe its angle DBC

Step-by-step explanation:

A linear pair has to equal 180 degrees together

Answer:

fbc

Step-by-step explanation: that is the closest answer

the directions for lemonade say to put 2 cups of liquid concentrate into 1 gallon of water. if you only want to make 1 pint of lemonade, how many fluid ounces of concentrate should you use