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irina1246 [14]
3 years ago
5

Which expression is equivalent to -12(3x-3/4) A -36x-8 B -36x+8 C -36x-9 D-36x+9

Mathematics
2 answers:
Alinara [238K]3 years ago
5 0

Answer:

D: -36x+9

Step-by-step explanation:

-12(3x-3/4)

-12x3x-12x(-3/4)

-36x+3x3

-36x+9

Natalija [7]3 years ago
3 0

Answer: D

Step-by-step explanation: -12*3= 36x

-3/4*-12 = +9 so, D

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Which completely describes the polygon
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NONE OF THE ABOVE!!

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For George’s party, his dad bought an ice cream cake. After the party, 1/3 of the cake was left. The next day, George ate half o
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8 0
4 years ago
Wade was asked to solve this inequality:
frozen [14]

Answer:

The correct option is Option A: Yes, that is the correct step

Step-by-step explanation:

Wane was asked to solve the inequality \large \frac{x}{3}\ge11

He decides that he needs to multiply both sides by 3.

We need to tell if the step is correct?

So, solving the inequality

\frac{x}{3}\ge11

We need to multiply both sides by 3, to get value of x i.e.

\frac{x}{3}*3\ge11*3\\x\geq 33

So, Wanes step is correct.

The correct option is Option A: Yes, that is the correct step

6 0
3 years ago
A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th
baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

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.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
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