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3 years ago

Simplify. (-8n + 11) + (2n -3)

Mathematics

2 answers:

Rasek [7]3 years ago

4 0

Answer:

-6n + 8

Step-by-step explanation:

-8n + 2n = -6n

11 - 3 = 8

Hope this helps :)

dedylja [7]3 years ago

4 0

Answer:

-6n + 8

Step-by-step explanation:

(-8n + 11) + (2n - 3)

First let's look at the expressions within the parentheses.

-8n + 11 ⇒ This expression is fully simplified because you cannot add different variables together.

2n - 3 ⇒ This expression is fully simplified because you cannot subtract different variables together.

Since we are adding these expressions, we can take away the parentheses.

-8n + 11 + 2n - 3

Now, let's rearrange the term so the like terms are next to each other.

-8n + 2n + 11 - 3

Simplify the variable.

-6n + 11 - 3

Simplify the constants.

-6n + 8

This is your simplified expression.

Hope this helps!

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Assoli18 [71]

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Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

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Binomial probability distribution

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

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

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

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And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

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