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VikaD [51]
3 years ago
15

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options.

Mathematics
2 answers:
Anastasy [175]3 years ago
5 0

Answer:

c) (x +2)

e) ( 5 x -2)

Step-by-step explanation:

<em><u>Explanation</u></em>:-

Given equation  5 x² + 8 x – 4

The factors of  - 20 = 10 × - 2

                   ⇒      5 x ² + 10 x - 2 x - 4

                    ⇒      5 x ( x + 2) - 2 ( x + 2)

                     ⇒     (5 x - 2 ) ( x + 2)

The multiplies of given equation

                           5 x² + 8 x – 4 =   (5 x - 2 ) ( x + 2)

maw [93]3 years ago
5 0

Answer:

(x + 2)

(5x – 2)

Step-by-step explanation:

C and E on edg

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a.P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\

b. E(x) = 0.3

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Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\

For binomial distribution:

E(x)=np\\S(x)=\sqrt{np(1-p)}

Therefore, the company can expect to win 0.3 bids and it is calculated as:

E(x) = np = 3*0.1 = 0.3

Additionally, the standard deviation of the number of bids won is:

S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196

Finally, the probability to won 1, 2 or 3 bids is equal to:

P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001

So, the expected profit for the company is equal to:

E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

5 0
3 years ago
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