There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?

Answers

Answer 1

Answer:

1/13

Step-by-step explanation:

there are 10 people that use the gym and track and 10 is 1/13 of 130


Related Questions

PLEASE HELP
How to do this

Answers

I believe 20 is your answer. Tell me if I’m wrong.

Find the missing term of the following sequence.
. . .-34,____, 77, . .

Answers

Answer:

21.5

Step-by-step explanation:

Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.

6 + 3 (10× - 22) could someone please help me solve this​

Answers

Answer:

x = -2

Step-by-step explanation:

6 + 3(10x-22)

3 * 10x = 30x

3 * -22 = -66

6 + 30x = -66

-66 + 6 = -60

30x = -60

-60/30 = -2

x = -2

I think the answer is - 1980

What's the equation of this sequence 4,8,16,32,64,128,256

Answers

Answer:

See below

Step-by-step explanation:

Here we have a function [tex]a[/tex] such that [tex]a: \mathbb{N}\to \mathbb{R}[/tex] and [tex]a:n \mapsto a(n) = a_n[/tex]

The sequence is denoted as [tex]$\{a_n\}_{n\in\mathbb{N}}$[/tex] such that [tex]\mathbb{N} = \{1, 2, 3, ...\}[/tex]

For this sequence, we would have

[tex]\left\{ {2^n\right\}_{n = 2}^8[/tex]

But sure it seems to follow

[tex]\left\{ {2^n\right\}_{n = 2}^\infty[/tex]

Answer:

The equation would be like :

2^(n+1)

Step-by-step explanation:

Hope this helps ;)

Good luck ^^

-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution

Answers

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

-13 + 43 > x -43 + 43

30 > x

(Middle schoolers!)
If you need help with Draw Inferences from Data I have everything you need!
Just ask the question then come to me and I can answer it for you!
This is for do you know/how do you understand!

Answers

Answer:

Ok! tysm!

Answer explanation:

4500 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?

Answers

Answer:

180 teenagers were at the game

What is the exact value of sin(75°)?

Answers

It is the square root of two+ the square root of six then divided by 4.

The population of a town in North Carolina is modeled by the function f(x) = 10,520(1.041)'. If the initial population (that is, the population when x = O) was
measured January 1, 2012, what was the initial population?

Answers

Answer:

Step-by-step explanation:

This is an exponential growth function of the form

y=ar^x

Where y=final value, a=initial value, r=common ratio, x=term number.

Since a=10,520, that was the initial population in 2012.

Please help with this math question'

Answers

Answer:

The rocket's maximum height will be 1424 feet.

It will reach that height in 4 seconds.

It will reach the ground  in 8 seconds.

Step-by-step explanation:

One easy way to find the peak is to find the derivative and solve for zero:

h(t) = -16t² + 128t + 1680

To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one.  In the case of terms with no variable, they disappear.  That gives us:

h'(t) = -32t + 128

This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:

0 = -32t + 128

32t = 128

t = 4

So the maximum height occurs when t = 4.  Let's plug it in to the original equation:

h(t) = -16t² + 128t + 1680

h(4) = -256 + 512 + 1680

h(4) = 1424

So the rocket's maxiumum height is 1424 feet.

And we've already answered the second question, it happens at 4 seconds.

Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.

Unit test
The table below shows the worth of each of Warren's three companies.
Company
Worth (in millions of dollars)
Margie's Travel
- 12.28
Fifth Coffee
-6.91
Northwind Traders
1.72
Help Warren sort his companies from least to greatest absolute value of worth.
Fifth Coffee
Northwind Traders
Margie's Travel
Og
Report a problem

Answers

Answer:

north wind traders,fifth cofffe, margies coffe

Step-by-step explanation:

anwsers from khan.

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?

Answers

Answer:

WOW THAT IS A LOT OF POINTS BRO

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find the area of the parallelogram
4 cm
7 cm
[?] cm2

Answers

Answer:

28cm^2

Step-by-step explanation:

Area = 4 x 7

=28

hope it helps u

A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?

Answers

Answer:

a) 16.8 hours.

b) 0.86 hours squared.

c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

d) 0.8051 = 80.51% probability that Z is greater than 16

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.

In this question:

X1: Mean 8.6, standard deviation 0.1

X2: Mean 8.4, standard deviation 0.9

X3: Mean 0.2, standard deviation 0.2

Z = X1 + X2 - X3.

Mean:

[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]

Variance:

[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]

Standard deviation:

[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]

A) What is the expected value of Z, the total time that the help desk has an employee present?

[tex]\mu = 16.8[/tex]

So 16.8 hours.

B) What is the variance of Z?

[tex]\sigma = 0.86[/tex]

So 0.86 hours squared.

C) What is the probability that Z is between 15.9 and 16.1?

This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So

X = 16.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

X = 15.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]

[tex]Z = -0.97[/tex]

[tex]Z = -0.97[/tex] has a pvalue of 0.1660

0.2266 - 0.1660 = 0.0606

0.0606 = 6.06% probability that Z is between 15.9 and 16.1.

D) What is the probability that Z is greater than 16?

This is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

1 - 0.1949 = 0.8051

0.8051 = 80.51% probability that Z is greater than 16

two supplementary angles have a ratio of 4:5 what is the measure of the larger angle?​

Answers

Answer:

100°

Step-by-step explanation:

Supplementary means the sum of the angles is 180°

so we add 4+5 = 9

180/9 = 20

20 now we multiply according to the ratio

20x4:20x5

80:100

the measure of the largest is 100°

solve r/13.7 = 5 for x

please help asap

Answers

Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

What is the structure of prokaryotic cells?

Answers

Step-by-step explanation:

The Prokaryotic Cell

Prokaryotes are unicellular organisms that lack organelles or other internal membrane-bound structures. Therefore, they do not have a nucleus, but, instead, generally have a single chromosome: a piece of circular, double-stranded DNA located in an area of the cell called the nucleoid.

Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?

Answers

Answer:

8%

Step-by-step explanation:

10/125 * 100% = 8%

What is the value of y in the equation 9 + y = 8?

72
17
1
−1

Answers

y = -1

Get the variable on one side of the equation...

9 + y = 8

9 + y - 9 = 8 - 9

y = -1

Answer:

y = -1

Step-by-step explanation:

This is a one-step equation. All you have to do is subtract the 9 from the left side to move it to the right side. This would give you an answer of y = -1.

A pair of jeans normally costs £40.
In the sales, there is 25% off.
Work out how much the jeans are in the sales.

Answers

Answer:

£30

Step-by-step explanation:

100% - 25% =75%

75% of £40

=£30

I would really appreciate it if someone could answer this I will give a brainlist:)

Answers

97 I think

Steps:
72^2 + 65^2= c^2
5184 + 4225= c^2
9409= c^2
C= 97

[tex]97.[/tex]

Step-by-step explanation:

By using Pythagoras theorem

AC² = AB² + BC².

Let AB = 72 and BC = 65.

AC² = 72² + 65²

AC² = 5184 + 4225

AC² = 9409.

AC = √9409

AC = 97.

How many diagonals does a
rectangle have?

Answers

Well The answer is 2

A rectangle has two pairs of opposite sides that are equal in length and four right angles.

To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.

In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.

However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.

Hence, a rectangle has 12/2 = 6 diagonals.

To know more about rectangle:

https://brainly.com/question/15019502


#SPJ6

Kyle soles 18 of 24 puzzles in a puzzle book. he says that he can use an equivalent fraction to find the percent of puzzles in the book that he solved. how can he do that? what ia the percent?
PLEASE​

Answers

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18                               3

----  divided by 6  =  ----

24                              4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

What is the value of x?

Answers

Answer:

Step-by-step explanation:

90 times 3 = 270

9x-3 + 6x + 48 = 270

add like terms, 48-3 = 45

9x + 6x + 45 = 270

subtract 45 both sides and add like terms again

15x = 225

divide 15 on both sides

x = 15

What is the probability of picking a face card given that the card is a Jack?

Answers

Answer:

1/13

Step-by-step explanation:

there are 4 jacks in a deck of 52 cards

therefore probability of picking a jack:

4/52 = 1/13

A science teacher fills a spherical bubble

Answers

ksnskndjdosnsnabdnejw

HELP PLZ IM IN A HURRY

Answers

Answer:

sorry 17.25 inches is the correct anser sorry answered it the wrong way did the wrong math formula

Step-by-step explanation:

Answer:

34.5

Step-by-step explanation:

there are two sides of a box! you multiply everything by 2 !

Brandon notice that he has more credits than Quentin who has 220 burlesque dance Rachel who has 260 .list three possible amount of credits Brandon could have

Answers

Answer:

Step-by-step explanation:

230, 240, or 250 because they are in between the two numbers/credits of the other people


Need help plzzzzz
.
.

.

Answers

Answer: 1

Step-by-step explanation: f(3) would be one because if you look at the table 1 is next to 3. I hope this helps!

If you want to dilate a triangle, does the center of dilation have to be on the triangle? Can it be inside the triangle? Outside the triangle?

Answers

Answer:

No, it can be anywhere on the graph.

Step-by-step explanation:

Answer:

Attached

Step-by-step explanation:

Just a supplement of the above answer

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