There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use 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:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
Related Questions
y=
A.39
B.51
C.37
Find what y is through the photo
Answers
Explained: tan(x) 8/10 = 38.7 which is then rounded to 39
Use the table to write the rule (equation) for the relationship between x
and y.
х
<
ا
0
-3
1
1
2
5
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
The values in the x column increase by 1 each time.
The values in the y column increase by 4 each time.
Therefore, the slope of your equation should be 4.
The y-intercept is -3 when x = 0.
The final equation would be:
y = 4x - 3
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answers
Answer:
i need more info
Step-by-step explanation:
please helpppppp ! i’m stuck :(
Answers
Answer:
b
Step-by-step explanation:
Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 144 okra seeds, how many grew into plants?
A.
69
B.
84
C.
139
D.
247
Answers
Answer:
If Dana planted 144 okra seeds, 84 of those seeds grew into plants.
Explanation:
Image below.
There are okra plants grown from 84 seeds, which is the correct answer would be option (B).
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.
For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.
Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.
Therefore, 84 okra seeds grew into plants.
To learn more about the Ratio click here:
brainly.com/question/1504221
#SPJ2
The figure shows the graph of y = -x² + bx + c. Find the values of b and c.
Answers
Answer:
b = 2, c = 3
Step-by-step explanation:
The zeros are x = - 1 and x = 3
Substitute the zeros into the equation and let y = 0
- (- 1)² - b + c = 0
- 1 - b + c = 0 → (1)
- 3² + 3b + c = 0
- 9 + 3b + c = 0 → (2)
Subtract (1) from (2) term by term, that is
- 8 + 4b = 0 ( add 8 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Substitute b = 2 into either of the 2 equations and solve for c
Substituting into (1)
- 1 - 2 + c = 0
- 3 + c = 0 ( add 3 to both sides )
c = 3
Find the sum of — 6x2 – 1 and x + 9.
Answers
The second answer: Cancels out there really is no answer for that unless you wanna put 9x and I doubt that’s right! Hope this helps!
There are 4 consecutive integers with a sum of 298. What is the value of the least integer?
Answers
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
click on the volume of this rectangular prism.
Answers
Answer: 192 cubic inches
Step-by-step explanation:
f(x) = x + 4 g(x) = 3x ^ 2 - 7 Find (fg)(x) .
Answers
Answer:
Step-by-step explanation:
(fg)(x) )
[tex](x+4)*(3x^{2} -7)[/tex]=[tex]3x^{3} -7x+12x^{2} -28[/tex] = [tex]3x^{3} +12x^{2} -7x-28[/tex]
Composite functions are functions that are gotten from combining multiple functions.
The value of the composite function (f o g)(x) is 3x^2 -3.
The functions are given as:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 7[/tex]
To calculate the composite function (f o g)(x), we make use of:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = x + 4[/tex]
Substitute g(x) for x
[tex]f(g(x)) = g(x) + 4[/tex]
Substitute [tex]g(x) = 3x^2 - 7[/tex]
[tex]f(g(x)) = 3x^2 - 7 + 4[/tex]
[tex]f(g(x)) = 3x^2 -3[/tex]
Recall that:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
So, we have:
[tex](f\ o\ g)(x) = 3x^2 -3[/tex]
Hence, the value of the composite function (f o g)(x) is 3x^2 -3.
Read more about composite functions at:
https://brainly.com/question/10687170
suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.
Answers
If 8 is added to a number and the sum is divided by 3, the result is 12, find the number. (a) 28 (b) 38 (c) 20 (d) 10
Answers
Answer:
a(28)
Step-by-step explanation:
28+8=36
36/3=12
Answer:
a) 28
Step-by-step explanation:
28+8=36
36/3=12
The cost of producing a smartphone is $42.73 per phone. Additionally, the smartphone company pays a flat rate of $175 to ship each store's order. Write an equation to model the costs for the smartphone company, y, to produce x number of smartphones and ship them to one store. help please
Answers
Answer:
42.37x+175 good luck on this
On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function f(x)?
F(x) 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
Answers
Answer:
the answer is d just took the test
Step-by-step explanation:
Answer:
i think its D
Step-by-step explanation:
SEND HELPP I NEED TO PASS SCHOOL
Answers
Answer:
I need help to pass school to
Step-by-step explanation:
so I'm going to use these point to make a question to help me pass school thank you
Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?
Answers
Answer:
$187.5
Step-by-step explanation:
25% of $750 = $187.5!
All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.
how many vertices ate there in a square
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 vertices in a square
Find all values of x such that 6=35/x -49/x^2
Answers
X1= 7/3, X2= 7/2.
HURRRY FIRST GETS BRAINLIESTTTT
Answers
Answer:
5
Step-by-step explanation:
because others are already there
Answer:5
Step-by-step explanation:
A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer. Ill give brainliest and such this is also worth some good points
Answers
Answer:
Distance around the stadium is 75.16 monger than the field
Step-by-step explanation:
From the graph attached,
Coordinates of A → (-10, 60)
Coordinates of B → (60, -10)
Coordinates of C → (10, -60)
Coordinates of D → (-60, 10)
Perimeter of field = AB + BC + CD + DA
Since field is in the shape of a rectangle,
AB = CD and BC = DA
Therefore, perimeter of the rectangle = 2(AB + BC)
Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]
= [tex]\sqrt{2(70)^{2} }[/tex]
= [tex]70\sqrt{2}[/tex] m
Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]
= [tex]50\sqrt{2}[/tex] m
Perimeter of ABCD = 2(70√2 + 50√2)
= 240√2 m
= 339.41 m
Perimeter of stadium = 2πr [Here, r = radius of the circle]
= 2π(120)
= 753.98 m
To run around the field twice, distance covered by the players = 2(339.41)
= 678.82 m
Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82
= 75.16 m
Answer:
The distance around the stadium is longer than about 75
Step-by-step explanation:
HELPPPPPPP plesssss two part question. the question is on the picture
Answers
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter
Help please due in an 1 hour!!
Answers
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
some one please help, lots of points granted !!!!!
Answers
2)y=-1/3x
3)y=-2x+4
4)y=-1/3x+1
Enter the values for the variables that give the
correct simplified expressions, x => 0.
V
50x2 = V25-2-x2 = 5x]
b =
32x = V16-2 - x = cv 2x
C
18n
9.2.n=ev
e2n
e =
72x2 - V36-2- x2 = gx_3
g=
Answers
9514 1404 393
Answer:
b = 2
c = 4
e = 3
g = 6
Step-by-step explanation:
b) The number remaining under the radical is what's left after the perfect squares 25 and x² are removed. That is b = 2.
__
c) The number outside the radical is the root of the perfect square constant inside the radical: √16 = c = 4.
__
e) As with c, √9 = e = 3.
__
g) As with c, √36 = g = 6.
ANSWER FOR BRAINLIEST
A unit rate is a rate in which the unit in the denominator is :
A) 1
B) 3
C) 2
Answers
What is the best estimate for the percent equivalent to 3/8?
Answers
Answer:
To find this out, turn 3/8 into decimal form, (0.375).
Now, turn each percent into standard form. (Also decimal form)
26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.
The decimal closest to 0.375 is 37%.
Step-by-step explanation:
what is the total surface area of three of these ice cubes (pic attached)
Answers
Answer:
9ft2
Step-by-step explanation:
Answer:
18 ft
Step-by-step explanation:
David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?
Answers
Answer:195000
Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales
Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________
Answers
Answer:
1. 423 2. 71.25
Step-by-step explanation:
450.00-6%=423
75.00-5%= 71.25
What is the value of n that would make the following radical expression true?
[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]
n=?
Answers
Answer: 3
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
dont remember exactly how we did it in class but went through this question