A six-sided number cube with faces numbered 1, 2, 3, 4, 5, and 6 is rolled. Which events are mutually exclusive?

A.
rolling a 4, rolling a prime number

B.
rolling a 3, rolling a prime number

C.
rolling a 2, rolling an even number

D.
rolling a 5, rolling an odd number

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "Mutually exclusive" means that both events can't be true at the same time. The only one that fits this is (B): You can't roll a 13 an even number at the same time because 3 is odd.

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PLEASE ANSWER FAST!! Prove that when a polynomial p (x) is divided by a first degree polynomial ax + b,the remainder is p (-b/a).

Answers

$Q(x)$ is the polynomial obtained after dividing $p(x)$ by $(ax+b)$

Which shows how the distributive propertycan be used to multiply 438 and 21?(4 x 21) (3 x 21) (8 x 21)

Answers

I have given you the two possible answers since you haven't provided all of the answer choices.

$438* 21 = \n\n\boxed{\bf{(400* 21)+(30 * 21) + (8* 21)}}\n\n=\boxed{\bf{(438 * 20)+(438* 1)}}$

What's two and a half feet x 2/3 feet

Answers

1 ft 2/3. Just multiply the two in a calculator or using cross multiplication

At a school fair 70% of the people are under 16 years old. One-third of the people remaning are teachers. If there are 21 teachers at the fair, how many people are there at the fair total

Answers

Let's write out what we do know...

70% of the people are under 16 years old

From this information, we can infer that 30% of the people are 16 or older.

100%-70%=30%

1/3 of the people 16 or older are teachers. There are 21 teachers.

1/3 of 30% is 10%

1/3*.30=.10 or 10%

So 21 is 10% the total number of people at the fair.

$(10)/(100)= (21)/(x) 2100=10x 210=x$

(I cross multiplied and then divided both sides by 10 to get x=210)

There are 210 people at the fair.

30% remains
a third of 30% is 10%
so 10% are teachers
21 (amount of teachers) × 10 = 210
answer = 210

I think I got the answer but I'm not sure. Help?

Answers

I wish I could see your answer in the picture. Then we could put it into the original equation and see if it checks.

It won't, because you made a slight mistake in your first line, where you were
eliminating the parentheses on the right side:

-4(x- 3) = -4x +12 . . . . . not -4x -12 .

That should get you all fixed up.

When you combine like terms from your first line,
your second line will be
4x + 6 = 30 - 4x

and it's all smooth sailing from there.

Fraction 3/9 reduced to the lowest term