Answer:
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
G represents the set of people that use the gym.
P represents the set of people that use the swimming pool.
T represents the set of people that use the track.
Since 1 person uses the 3 facilities, it means that
Number of persons that use gym and pool only is 15 - 1 = 14
Number of persons that use pool and track only is 14 - 1 = 13
Number of persons that use gym and track only is 10 - 1 = 9
Number of persons that use gym only is
65 - (14 + 1 + 9) = 41
Number of persons that use pool only is
51 - (14 + 1 + 13) = 23
Number of persons that use track only is
44 - (9 + 1 + 13) = 21
N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that
41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130
122 + N = 130
N = 130 - 122
N = 8
Therefore, the probability that a person doesn't use any facilities is
8/130 = 0.062
The total number of people in the family that generates 20 loads of laundry in a week is 10.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of people and x represent the number of laundry loads.
From the table:
y = (1/2)x
For 20 loads:
y = (1/2) * 20 = 10
The total number of people in the family that generates 20 loads of laundry in a week is 10.
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Answer:
x+4-(-5)
Step-by-step explanation:
What you do is since it says the sum of a number that would be x.
x+4 is less than -5 that would be subtraction.
x+4-(-5) is your answer.
It's 12 because if you divide 36 by 3 (consecutive) it equals 12
The expressions with radicals which are variables and numbers raised to a fractional indices are simplified as follows.
13. √(9·x) = 3·√x
14. √(4·y) = 2·√y
15. √(8·x²) = 2·x·√2
16. √(9·x²) = 3·x
17. √(3·x²) = x·√3
18. √(5·y²) = y·√5
19. √(13·x²) = x·√(13)
20. √(29·y²) = y·√(29)
21. √(64·y²) = 8·y
22. √(125·a²) = 5·a·√5
23. ∛(16) = 2·∛2
24. √(50·a²·b) = 5·a·√(2·b)
<h3>What are radicals expressions?</h3>
A radical expression is one that contains the radical (square root or nth root) sign, √.
13. √(9·x)
√(9·x) = √(3²·x) = 3·√x
14. √(4·y)
√(4·y) = √(2²·y) = 2·√y
15. √(8·x²)
√(8·x²) = √(4 × 2·x²) = √(2² × 2·x²)
√(2² × 2·x²) = √(2²·x² × 2) = 2·x·√2
16. √(9·x²)
√(9·x²) = √(3²·x²) = 3·x
17. √(3·x²)
18. √(5·y²)
√5 × √(y²) = √5 × y = y·√5
19. √(13·x²)
√(13·x²) = √(13) × √x² = √(13) × x = x·√(13)
20. √(29·y²)
√(29·y²) = √(29) × √(y²) = √(29) × y = y·√(29)
21. √(64·y²)
√(64·y²) = √(8²·y²) = √(8²) × √(y²) = 8 × y = 8·y
22. √(125·a²)
√(125·a²) = √(25 × 5 × a²) = √(25) × √5 × √(a²) = 5 × √5 × a
5 × √5 × a = 5·a·√5
23. ∛(16)
∛(16) = ∛(16) = ∛(8 × 2) = ∛(2³ × 2) = 2·∛2
24. √(50·a²·b)
√(50·a²·b) = √(25 × 2 × a² × b) = √(5² × 2 × a² × b) = √(5² × a² × 2 × b)
√((5² × a²) × 2 × b) = 5·a·√(2·b)
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