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Nitella [24]
3 years ago
13

On a multiple-choice test, each question has 4 possible answers. A student does not know

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

1.56% probability that the student gets all three questions right

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the answer correctly, or he does not. The probability of the student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

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.

Each question has 4 possible answers, one of which is correct.

So p = \frac{1}[4} = 0.25

Three questions.

This means that n = 3

What is the probability that the student gets all three questions right?

This is P(X = 3)

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

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

1.56% probability that the student gets all three questions right

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Leona [35]
$482.5 is the FINAL ANSWER

To find commission:
We can use the base of 100% being 1650
We can use 5% because thats her commission
Use: 100(x)=1650(5) -> 100(x)=8250 after doing math, youll get the outcome of 82.5 commission

To find the total:
Just add that commission to her total being 82.5 + 400 = 482.5 $

5 0
3 years ago
Those are the math questions I need the answers of ​
Elena L [17]

Answer:

1)

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2)

\frac{1}{5+2\sqrt{6}}

Multiply 5-2\sqrt{6}:

\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}

Apply Difference of Squares formula: (a+b)(a-b)=a^2-b^2

\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}

\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}

\frac{5-2\sqrt{6}}{25-4\times6}

\frac{5-2\sqrt{6}}{1}

{5-2\sqrt{6}}

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7 0
3 years ago
The area of the parallelogram is 17.6cm. What is the length of the base
Svetllana [295]

Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

7 0
2 years ago
X2+6/5x+8/25<br> please help me.
Dmitriy789 [7]
The answer to your question is:

x^2 + 6/5x + 8/25;
4 0
3 years ago
Which expression is equivalent. Pls help quick
kramer
It’s d, I solved it
4 0
2 years ago
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