1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Which expression is not equivalent to
Zanzabum

Answer:

A

Step-by-step explanation:

Because 6^3/6^6 is equivalent to 1/216.A is 1/36

8 0
2 years ago
Read 2 more answers
you randomly choose a shirt off the shelf. there is 4 blue shirts 2 black shirts and 2 green shirts and 1 white shirt and 1 red
meriva

Answer:

2 out of 10

Step-by-step explanation:

Simple math

5 0
2 years ago
If y = 8 cm, what is the area of the blue section of this shape?
Ivahew [28]

Answer:

56 cm squared

Step-by-step explanation:

First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L

Now I can actually solve this:

The left side is 8 cm (because y = 8 cm)

The top is 10 cm

The middle is 6 cm

The inside left is 3 cm

And the very bottom is 2 cm

First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.

Next, solve for the longer rectangle: 10 x 5. That's 50.

Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.

(Please keep in mind that I could be wrong, so double check it for me, thanks!)

7 0
2 years ago
3.
Naddik [55]
A, D, E, and F are greater than -5
4 0
3 years ago
A function is defined by f(x) = 3x+ 1 What is f(10)?
swat32

Answer:

c) 31

Step-by-step explanation:

Given: f(x) = 3x + 1

We are being asked to find the function's value for x = 10.

Substitute 10 as the value of x in the function:

⇒ f(x) = 3x + 1

⇒ f(10) = 3(10) + 1

⇒ f(10) = 30 + 1

⇒ f(10) = 31

Therefore, the function's value at x = 10 is 31.

Learn more here:

brainly.com/question/27901762

brainly.com/question/20922457

3 0
2 years ago
Read 2 more answers
Other questions:
  • WHAT IS THE VALUE IF X???‼️‼️ HELP ASAP
    6·1 answer
  • What fraction is shown by the point on the number line? Type your answer
    5·2 answers
  • Which of the following pairs of functions are inverses of each other?
    7·2 answers
  • Solve the system of the linear equation using any method:<br> 2x+5y=4<br> 4x+7y=11
    6·2 answers
  • the length of a rectangle is 4 less than twice the width. the perimeter of the rectangle is 34 feet. find the length and width o
    6·1 answer
  • David has 4 cars after 2 years he has 6 cars how many cars does he purchase per year
    14·2 answers
  • Scott is on his school's academic team. On average, it takes Scott 4 minutes, with a standard deviation of 0.25 minutes, to solv
    12·1 answer
  • Matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
    12·1 answer
  • PLEASE HELP ME THIS IS DUE SOONNN. ILL MAKE IT A LOT OF POINTS AND IF U ANSWER BOTH CORRECTLY ILL GIVE YOU BRAINLIEST PLEASE
    7·1 answer
  • Help me here pls<br> (solve on your own, a,b, and c)<br> (more practice, a and b)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!