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VMariaS [17]
2 years ago
11

A student takes an exam containing 1818 true or false questions. If the student guesses, what is the probability that he will ge

t exactly 66 questions right? Round your answer to four decimal places.
Mathematics
2 answers:
creativ13 [48]2 years ago
8 0

Probability

p=66×100/1818=3.6303630363%

After rounding to 4 decimals:

p=3.6304%

Juli2301 [7.4K]2 years ago
7 0

Answer:

0.0708 = 7.08% probability that he will get exactly 6 questions right.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer in a question is independent from 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.

18 questions

This means that n = 18

True or false, guessed.

Each question has two possible answers, so p = \frac{1}{2} = 0.5

If the student guesses, what is the probability that he will get exactly 6 questions right?

This is P(X = 6)

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

P(X = 6) = C_{18,6}.(0.5)^{6}.(0.5)^{12} = 0.0708

0.0708 = 7.08% probability that he will get exactly 6 questions right.

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vladimir2022 [97]

Answer:

More than means addition and product means multiplication.  Therefore, seven more than the product of three and x would mean multiplying 3 and x together then adding 7 to that.  Or,  3x + 7.

Step-by-step explanation:


7 0
3 years ago
How many solutions exist for the system of equations graphed below?
Zinaida [17]

Answer:

one

Step-by-step explanation:

When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.

If the two lines cross once, there is only one solution.

If the two lines are on top of each other then there are infinitely many solutions.

If the two lines are parallel ( and never touch ) then there are no solutions

By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.

6 0
1 year ago
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Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How
Leya [2.2K]
The answer is B: 11.

To solve it, you need to solve the equation: 20.00=12.85+0.65x
4 0
3 years ago
How do I graph -4x+6y=12
eimsori [14]

You have 2 options.

I will show you the most efficient one, but later I will tell you the other.

-4x+6y=12

6y=4x+12

y=4/6x+12

y=2/3x+12

This tells us the point (0,12) as 12 is where it meets the y-axis (that is why you add it)

And then using the slope, 2/3 we can get (2,15) (which is up 3, right 2)

Just graph those, I would show you exactly, but I cannot add attachments sadly.

The other way (which I won’t show it all as the results would end out with the same line) is to fill in x, then y, with 0

So -4*0+6y=12 which means x=0 and you are solving for y  and -4x+6*0=12 which means y=0 and you are solving for x


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3 years ago
Can someone help plzzz asappp :///
kow [346]

Answer:

I believe answer choice A

Step-by-step explanation:

8 0
3 years ago
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