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4 years ago

Select the two binomials that are factors of this trinomial.

Mathematics

2 answers:

sleet_krkn [62]4 years ago

8 0

Answers are x+4 and also x+2

mojhsa [17]4 years ago

5 0

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)

1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the $x^2$ term at the front of the trinomial), we find the binomials:

$x+ 2$ and $x + 4$

The answer is x + 2 and x + 4.

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Estimate the number of DVDs that will be checked out for every 100 patrons.

anastassius [24]

The number of DVDs that will be checked out for every 100 patrons will be 20.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

$X \sim B(n,p)$

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The expected value of X will be:

$E(X) = np\\$

The information is given in the table.

The probability of getting DVDs will be

$\rm p = \dfrac{2}{10}\\\\p=2$

The value of n is 100.

Then the number of DVDs that will be checked out for every 100 patrons will be

$\rm E(X) = 100 \times 0.2\\\\E(X) = 20$

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

5 0

2 years ago

Two thirds a number plus 4 is 7

Westkost [7]

Lets call the number 'n'
plus means addition
is means the equal sign

so that as an expression would be $\frac{2}{3}$ n+4=7

4 0

3 years ago

Read 2 more answers

How do you factor 2x^3+5y^3

Pavel [41]

All you do is...
$\mathrm{Apply\:sum\:of\:cubes\:rule:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)$

$2x^3+5y^3=\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right)$
$\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(\left(\sqrt[3]{2}\right)^2x^2-\sqrt[3]{2}\sqrt[3]{5}xy+\left(\sqrt[3]{5}\right)^2y^2\right) \ \textgreater \ Refine$

$\left(\sqrt[3]{2}x+\sqrt[3]{5}y\right)\left(2^{\frac{2}{3}}x^2-\sqrt[3]{10}xy+5^{\frac{2}{3}}y^2\right)$

Hope this helps!

4 0

3 years ago

I need help asap what is 1236798,82652 times 1000 i need help this is so tricky and this is worth 20 points so please answer wit

mixer [17]

Well, it's simple. There are 3 zeros in 1,000. Just add 3 zeros. You get 123679882652000

7 0

3 years ago

Whats the greatest common factor of 42,28, and 70

kobusy [5.1K]

Answer:

Step-by-step explanation:

1 * 70

5 * 14

7 * 10

1 * 42

3 * 14

7 * 6

1 * 28

2 * 14

7 * 4

pick the largest factor from 70 and check it they also work with the other two. 14 is the GCF.

7 0

3 years ago

Read 2 more answers