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.
The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of people using the facilities are
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
The total people using two facilities is = (36+32+35 ) = 103
Total number of people is 135
The probability that a randomly selected person uses at least two facilities is 103/135.
The probability that the selected people uses all the three facilities is 14/103.
To know more about Probability
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What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
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NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
Simplify the expression.
53 + (- 12) + (- 4t)
Answer:
8
Step-by-step explanation:
41-4t
Hope this helps ^^
It takes 2 yards of material to
make 6 scarves, how many yards of material are needed to make 24
scarves?
20 points.
The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B?
Answer:
B (1, 8 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )
Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is
[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )
- 3 + x = - 2 ( add 3 to both sides )
x = 1
[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Then point B = (1, 8 )
please help me guys :) !
Answer:
{13, 9, 5, 1}
Step-by-step explanation:
Here the four inputs (x-values) are {1, 2, 3, 4}. The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:
x y
1 17 - 4(1) = 13
2 17 - 4(2) = 9 In summary, the (vertical) 2nd column,
3 17 - 4(3) = 5 containing the y-values, is {13, 9, 5, 1}
4 17 - 4(4) = 1
solve pls brainliest
Answer:
Yes
Yes
Yes
No
No
Step-by-step explanation:
-42/6 = -7
17/18 = 0.9444444 (4 repeating)
Integers = whole numbers whether negative or not, but it does not have a decimal.
can someone help me with this answer plsss
Answer: 44 ft
Step-by-step explanation:
if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.
The left rectangle is
8+8=16
6+6=12
16+12=28
Now you add the square on the right to the square on the left which is
28+16= 44 ft
For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.
True
False
Answer: the answer should be true
Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .
get ratioed skull skull
Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?
Answer:
19:74
Step-by-step explanation:
74-55=the people sitting on floor=19
19:74
Simplify -1-18
-
(18)
O - |18|
0-18
O 18
Answer:
simplify -1-18
Step-by-step explanation:
Subtract 18 from −1
− 19
Select the correct answer from each drop-down menu.
Answer:
so sorry i don't know the answer
find the derivative of sin2X
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
2cos2x
Step-by-step explanation:
Using the Chain rule
[tex]\frac{d}{dx}[/tex] (sin2x)
= cos2x × [tex]\frac{d}{dx}[/tex] (2x)
= cos2x × 2
= 2cos2x
62 out of 100 children prefer strawberries. What percentage of children prefer strawberries
Answer:
it is 62
Step-by-step explanation:
62 out of 100 is equal to 62/100 or 62%
is this correct ? if not what’s the correct answer?
It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.
This adds up to 136 and you must subtract 136 from 180 and is 44.
SOS, I really need help! I accidentally slept in.
Dynamite blue fire red grape purple
PLEASE HELP. WILL MAKE BRAINLIEST!!!!
1 cup of water with 1 1/2 teaspoons of powdered drink mix
2 cups of water with 1/2 teaspoon of powdered drink mix
1 cup of water with 1/4 teaspoon of powdered drink mix
Which of these recipes is for the stronger tasting mixture. Explain how you know.
Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.
Step-by-step explanation:
I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.
Determine whether the given is a polynomial in one variable or not:
Polynomial: 4x^2-3x+7
The polynomial is
[tex] {4x}^{2} - 3x + 7[/tex]
Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.So, the given polynomial is a polynomial in one variable.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?
Answer:
75%
42/56 = 42/56
Convert to decimal form:
42÷56 = 0.75
= 75%
Can you mark as brainliest if its right?
Answer:
75%
Step-by-step explanation:
42/56 = 0.75 = 75%
Simplify w4z8 ÷ w2y2z4.
Answer:
w^2z^4/y^2
Step-by-step explanation:
-3x-2y=-6
-3x+2y=18
(?,?)
[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]
The answer: ( x ; y ) = ( -2 ; 6 )
Ok done. Thank to me :>
Mitch is attending a 4-year college. As a freshman, he was approved for a 10-year, federal
unsubsidized student loan in the amount of $8,100 at an APR of 4.29%. Mitch decides to
make no payments during the 4.5-year deferment period. After interest is capitalized at the
end of the 4.5-year period, what will his new principal amount be?
Answer:
Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.
Step-by-step explanation:
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Answer:
The second bag is the better deal
Step-by-step explanation:
8÷2.56= $3.13 per potato
10÷ 4.32= $2.31 per potato
help me 20 pts pls and brainliest
Answer:
elaboration
Step-by-step explanation:
tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question
NEED HELP ASAP WILL GIVE BRAINLIESTfor which values of x does each expression make sense?sqrt x+5
Answer:
can I see a picture? so I can try & help u
Answer:
x≥-5
Step-by-step explanation:
Help help help help math
Which of the following sets of points are vertices of a right triangle?
O AC-1, 1), B(3,5), C(4, - 4)
O None of the other answers are correct
O A(-1, 3) B(-4, -3) C(-4,1)
O A(-1, -3) B(4, - 3), C(2, - 1)
A(-2, 2) B(1, - 4). C(4, 2)
Answer:
24 square units
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.
solve using substitution
x-10y=10
x= -10
Answer:
y = -2Step-by-step explanation:
x - 10y = 10=> -10 - 10y = 10=> -10y = 10 + 10=> -10y = 20=> y = -2Conclusion:
Therefore, y = -2.
Hoped this helped.
[tex]GeniusUser[/tex]
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
It has got one solution since it is a linear equation which falls under polynomials