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3 years ago

Find ALL solutions: x^4 + 8x = 0

Mathematics

2 answers:

zvonat [6]3 years ago

7 0

Answer:

x = 0 or x = -2

Step-by-step explanation:

x^4+8x=0

Step 1: Factor left side of equation.

x(x+2)(x2−2x+4)=0

Step 2: Set factors equal to 0.

x=0 or x+2=0 or x2−2x+4=0

x=0 or x=−2

ehidna [41]3 years ago

3 0

Answer:

x= 0, -2, 1+i $\sqrt{3}$ , 1-i $\sqrt{3}$

Step-by-step explanation:

Hope it helps ;)

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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