All categories

2 years ago

There are 135 people in a sport centre.

1 answer:

5 0

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

You might be interested in

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

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

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

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

7 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME WITH THIS

maksim [4K]

Do 142degrees subtract that by 180 that is the angle on the other side then put that answer plus 49 equal to 180 then there is your answer

5 0

3 years ago

PLS Help im sooo stuck on this question pls help and show your work and please dont put a nonsense answer

Snowcat [4.5K]

XY = xZ

85b + 83 = 91b - 283

Subtract 85b from both sides:

83 = 6b - 283

Add 283 to both sides:

6b = 366

Divide both sides by 6:

B = 61

Now replace b with 61 and solve for the length:

85(61) + 83

5185 + 83 = 5268

The length is 5,268

8 0

2 years ago

Convert the decimal expansion 0.291666... to a fraction

Alexus [3.1K]

7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.

3 0

2 years ago

Read 2 more answers

The brass section in a marching band has 24 trombone players and 56 trumpet players. The band director wants to arrange them int

Lostsunrise [7]

Highest common factor of 24 and 56 is 8, 24+56 is 80, 80 over 8 is 10 rows

5 0

3 years ago

Read 2 more answers