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jenyasd209 [6]
3 years ago
7

What is the surface area of a sphere with a radius of 5 meters rounded to the nearest square meter

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
It would probably be 10 or 15
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27 + 71 = 98 + 1 - ______. What should come in the box to make the above number sentence true?
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A

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2 years ago
If a triangle has an area of 108 mm2 and the base of the triangle is 18 mm, what is the height of the triangle?
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Answer:

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3 years ago
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

           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.

5 0
3 years ago
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