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4 years ago

Giving BRAINLIEST for correct awnser! Factor the expression below.

Mathematics

2 answers:

melomori [17]4 years ago

6 0

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

DerKrebs [107]4 years ago

3 0

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

You might be interested in

When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for

juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

$\hat{p}$ = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = $\hat{p}=\dfrac{106}{258}\approx0.411$

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the 99% confidence interval for the true proportion(p) of all college students who own a car will be : $0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)$

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

3 0

3 years ago

Choice test you know the answer to the third question is not b or c you sure about a,d,or e. If you guess, what is the probabili

MrRissso [65]

If there were just one question, then the probability of guessing correctly would be 1/3.

Since all the answers are independent (the answer to one question has no bearing on the answers to the others), then this is the case with each question, so the chances of guessing all answers correctly is 1/3 × 1/3 × 1/3 = 1/27. Independent choices are linked by multiplication.

To have exactly 2 answers correct, we have to think of which one is wrong: there are 3 questions and any single one could be wrong. The probability that the first question is wrong is 2/3. And we know that the probabilities of the other two being right is 1/3 each, so the probability of just the first question being wrong and the others right is 2/3 × 1/3 × 1/3 = 2/27. But this is just one of the three cases: 1/3 × 2/3 × 1/3 and 1/3 × 1/3 × 2/3 also both equal 2/27 each. So here we add the cases together: 2/27 + 2/27 + 2/27 = 6/27 = 2/9. So the answer to part (a) of your question is 2/9.

To solve (b) Consider that (b) is the same as (a) with "all answers right" added in. So you can simply add answer (a) to the chance of guessing all answers correctly.

To solve (c) it might help you to think of the equivalent problem: what is the probability of getting 0 correct plus the probability of getting 1 correct?

6 0

3 years ago

Which decimal is equivalent to the fraction 115?

Nitella [24]

Answer:

115 is not a fraction, but it's 1.15<em> if</em> you meant 115%

5 0

4 years ago

453% as a decimal is what

poizon [28]

Answer:

4.53