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3 years ago

Given a polynomial f(x), if (x − 6) is a factor, what else must be true?

Mathematics

1 answer:

puteri [66]3 years ago

7 0

Answer:

below.

Step-by-step explanation:

f(6) = 0 because (x - 6) ---> (6 - 6) = 0

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In a binomial distribution, n = 12 and π = .60.

Lemur [1.5K]

For binomial distribute we use formula

$nCr (p)^r (q)^{n-r}$

the probability mass function of the binomial distribution is:

$nCr (\pi)^r (1-\pi)^{n-r}$

Given n = 12 and π = .6. (Replace the values)

the probability for x = 5, we need to find P(x=5). Here r= 5

P(x=5)= $12C5(\pi )^5 (1-\pi)^{12-5}$

= $12C5(0.6 )^5 (0.4)^{7}$ = 0.10090 = 0.101

(b) the probability for x ≤ 5

P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)

P(x<=5) = $12C0(0.6 )^0(0.4)^{12}$ + $12C1(0.6 )^1(0.4)^{11}$ + $12C2(0.6 )^2(0.4)^{10}$ + $12C3(0.6 )^3(0.4)^{9}$ + $12C4(0.6 )^4(0.4)^{8}$ + $12C5(0.6 )^5 (0.4)^{7}$

= 0.15821229 = 0.158

P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)

P(x>=6) = $12C6(0.6 )^6(0.4)^{6}$ + $12C7(0.6 )^7(0.4)^{5}$ + $12C8(0.6 )^8(0.4)^{4}$ + $12C9(0.6 )^9(0.4)^{3}$ + $12C10(0.6 )^{10}(0.4)^{2}$ + $12C11(0.6 )^{11}(0.4)^{1}$ + $12C12(0.6 )^{12}(0.4)^{0}$

= 0.8417877 = 0.0842 (rounded to 3 decimal places)

3 0

3 years ago

Whats the difference of 12-33/4

valentina_108 [34]

12 subtracted by 33 divided by 4 equals 3.75

8 0

3 years ago

Read 2 more answers

Kaitlyn gave 1/2 of her candy bar to arianna. arianna gave 1/3 of the candy she got from kaitlyn to cameron. what fraction of a

sukhopar [10]

Let the total candy bar be represented by x.

Amount of chocolate Kaitlyn gave to Arianna = $\frac{1}{2}x$

Amount of chocolate Arianna gave Cameron

= $\frac{1}{3}$ rd <span>of the candy she got from Kaitlyn to Cameron

= </span> $\frac{1}{3}$ × $\frac{1}{2}x$

= $\frac{1}{3}* \frac{1}{2} x = \frac{1}{6} x$

Hence, Cameron got $\frac{1}{6}$ th of the original chocolate.