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Natalka [10]
3 years ago
6

The math test has 10 multiple choice questions, each with 3 answers. If Betty guesses correctly on the first 3 questions, what i

s the probability that she will guess correctly on the fourth question?
Mathematics
2 answers:
Roman55 [17]3 years ago
5 0
I would say that Betty will have a probability to guess 1/3 on the fourth question due to the test only having 10 multiple choice questions with three answers. 
alukav5142 [94]3 years ago
4 0

Answer: \dfrac{1}{3}

Step-by-step explanation:

Given: The number of multiple choices to each question = 3

We know  that in multiple choice question there is only one answer is correct .

Then the probability that she will guess correctly on any question is given by :-

=\dfrac{\text{Correct choice}}{\text{Total choices}}\\\\=\dfrac{1}{3}

Hence, the  the probability that she will guess correctly on the fourth question = \dfrac{1}{3}

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1: Look at the 4, its a lot easier to multiply 5 x 5 rather than 5 x 4, plus if you are estimating, you are going to round either up or down.

2: Multiply 5 x 5 // the answer is 25.

3: Multiply 5 x 4 (the original) // which is 20.

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3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Ivan

Answer:

The final answers are x = 10.385 OR x = -0.385  

Step-by-step explanation:

Given the equation is x^2 -4 = 10x

Rewriting it in quadratic form as:- x^2 -10x -4 = 0.

a = 1, b = -10, c = -4.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( 10 ± √(100 -4*1*-4) ) / (2*1)

x = ( 10 ± √(100 +16) ) / (2)

x = ( 10 ± √(116) ) / (2)

x = ( 10 ± 10.77 ) / (2)

x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)

x = 20.77/2 OR x = -0.77/2

x = 10.385 OR x = -0.385

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