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Alexxx [7]
3 years ago
5

If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

P(X=x)=0.0004928

Step-by-step explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928

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s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
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By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

<h3>What is factorization?</h3>

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

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<u />

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Hence, the degree of the monomial is <u>8</u>

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Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

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