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Over [174]
3 years ago
6

Write the first step you would take to solve each equation. 2. -4x - 6= -10x

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

x=1 (Ans)

Step-by-step explanation:

2..-4x-6=-10x

-4x+10x=6

6x=6

x=6 divided by 6

Therefore, x=1(Ans)

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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
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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

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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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