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4 years ago

5

Simplify 3(2x + 5) A. 6x + 30 B.6x + 15 C. 6x + 5

2 answers:

tangare [24]4 years ago

6 0

Answer:

The answer is B. 6x+15

Step-by-step explanation:

You must follow the Mnemonic PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Also the distribution property applies here.

Since, you have a parentheses, you will distribute the 3 by multiplying 3 times 2x, which will give you 6x. Next, you distribute the 3 again and multiply it by 5, which will give you a value of 15.

Due to 15 being a positive number, the answer will be 6x+15.

Nana76 [90]4 years ago

5 0

3(2x/5)

Final result :

6x

——

5

Step by step solution :

Step 1 :

x

Simplify —

5

Equation at the end of step 1 :

x

3 • (2 • —)

5

Step 2 :

Final result :

6x

——

5

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Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

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