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3 years ago

1.) Are the two expressions

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

if you distribute the 9 into the parenthesis you get 9y + 45. Therefore, both equations are equivalent seeing that they both equal to 9y + 45.

Ainat [17]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

If you use the distribution property, then you can write it out like 9 x y + 9 x 5. That is the same as 9y+45.

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12/21 in its simplest form

UNO [17]

12/21 in its simplest form is 4/7.

To find this out we need to divide the numerator and denominator by the GCF of 12 and 21 which is 3.

12/21

12 ÷ 3 = 4
21 ÷ 3 = 7
4/7

12/21 in its simplest form is 4/7.

12/21 = 4/7

5 0

3 years ago

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The question is

Travka [436]

X is 30 because 2x=90 degrees

6 0

3 years ago

Exercise 12.1.2: The probability of an event under the uniform distribution - random permutations. About A class with n kids lin

Nataly [62]

Answer:

a) $P_a=\frac{1}{n}$

b) $P_b=\frac{1}{n(1-n)}$

c) $P_c=\frac{2}{n}$

Step-by-step explanation:

The question is incomplete:

<em>(a) What is the probability that Celia is first in line? (b) What is the probability that Celia is first in line and Felicity is last in line? (c) What is the probability that Celia and Felicity are next to each other in the line?</em>

a) The probability that Celia is first in line, if there are n kids and all of them have the same chance, is 1/n.

$P_a=\frac{1}{n}$

b) The probability that Celia is first in line and Felicity is last in line is

$P_b=\frac{1}{n} \frac{1}{n-1} =\frac{1}{n(1-n)}$ .

It is deducted like that:

If Celia is placed in the first line (what has a probablity of 1/n), there are left (n-1) kids. Then, the probability of placing Felicity in the last place is 1/(n-1).

Both probabilities multiplied give 1/(n*(n-1)).

c) The probability that Celia and Felicity are next to each other in the line is

$P_c=\frac{2(n-1)!}{n!}=\frac{2}{n}$

There are n! combinations for kids lines, where (n-1)! permutations have Celia before Felicity and other (n-1)! permutations have Felicity before Celia.

Then, we have 2(n-1)! permutations that have Celia and Felicity next to each other, over n! permutations possible.

5 0

3 years ago

What is 2 times 2/6?

Aloiza [94]

Hi there!

I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!

So, the steps are:

Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.

$\frac{(2)(2)}{6}$ This is what it should look like.

Now, what is 2 times 2? You can use a calculator for this part.

$2 *2 = 4$

Now, we can get to the last part, my favorite one!

Simplify $\frac{4}{6}$ down to $\frac{2}{3}$ .

How did we do it? EASY!

See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer $\frac{2}{3}$ .

That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D

4 0

3 years ago

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If the cells continue to double every 5 minutes, how long will it take to fill 3 additional bottles of the same size?

borishaifa [10]

It would take 10 minutes if the bottle is completely filled at the beginning.

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3 years ago

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