There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x >_ 1
Step-by-step explanation:
Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!
(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)
8 + 4x >_ 12
-8 -8
4x >_ 4
/4 /4
x >_ 1
A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.
Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
Plz help me!! I’m having a bit of trouble
Answer:
x= 27
Step-by-step explanation:
Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place
Answer:
AC = 6.7
Step-by-step explanation:
If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.
9^2 = 6^2 + b^2
81 = 36 + b^2
81-36 = b^2
45 = b^2
6.7 = b
so AC = 6.7
Use the Distributive Property to solve the equation.
- 3(x + 2) = 18
If you solve you get 50 points so pls help and no links pls
Answer:
x = -8
Step-by-step explanation:
-3x -6 = 18
-3x = 24
x = -8
Enter an algebraic expression for the word expression.
The quotient of -5 and y
The expression is
9514 1404 393
Answer:
-5/y
Step-by-step explanation:
The wording "the quotient of A and B" is used to signify A/B.
Here, we want the quotient of -5 and y:
-5/y
does 7/10 x 80 represent 70% of 80
Answer:
yes
Step-by-step explanation:
Write two expressions that are equivalent to the expression below. (9 - c) + (9 - c) + (9 - c) + (9 - c)
Answer:
4(9 – c)
36 – 4c
Step-by-step explanation:
An example of two equivalent expressions includes the general expression and then the one that is factored.
A snack is 5 parts peanuts and 2 parts raisins. How many pounds of peanuts should be mixed with one-half pound raisins
thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.
30 seventh graders, 3 own a bracelet
The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.
What is a percentage?Percentages are fractions where the denominator is 100.
We have,
Number of seven grade students = 30
Number of students who own a bracelet = 3
The percentage of seven grade student who owns a bracelet:
= (3 / 30) x 100
= (1/10) x 100
= 10 %
This means that 10% of seven grade student owns a bracelet.
Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.
Learn more about percentages here:
https://brainly.com/question/17151247
#SPJ2
7 (4 1/3) using distributive property
Answer:
so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3
Step-by-step explanation:
Please help! (I also put what a median is)
Answer:
Step-by-step explanation:
1. 2
2. 3
3. 6
4. 2
5. 4
The point (-2, 4) is plotted on the coordinate plane.
The point is reflected across the y-axis. What are the coordinates of the reflected point
A (-2,-4)
B (-2,4)
C (2,-4)
D (2,4)
Answer:
I would say B
Step-by-step explanation:
(7^3)^3
Simplify.
Rewrite the expression in the form 7^n
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{R\: E \: M \: E \: M \: B \: E \: R}}} }: [/tex]
If [tex]( {x}^{a} )^{b} [/tex] is an algebraic term then [tex] {(x}^{a} )^{b} = {x}^{a \times b} [/tex] i.e When an algebraic term in the index form is raised to another index , the base is raised to the product of two indices.
⟶ [tex] \large{ \tt{( {7}^{3} ) ^{3} = {7}^{3 \times 3} = {7}^{9}}} [/tex]
☥ [tex] \boxed{ \boxed{ \large \tt{Our \: Final \: Answer : \underline{ \tt{ {7}^{9}}}}}} [/tex]
Hope I helped ! ♡
⋆ Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is the distance between point A and point B on the coordinate plane?
HELP PLSS
Answer:
3
Step-by-step explanation:
If you count the units its three units away from each other.
(40 POINTS!!!!) find FD
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
Answer:
FD= +-25.94
Step-by-step explanation:
EF=CF=r(radius)=12
we know,
FD^2=EF^2+ED^2 ......(1)
and
FD^2=CF^2+CD^2 ......(2)
We Know,
area of triangle, a= 1/2xbasexHeight
a=1/2xEFxED .......(3)
and
a=1/2xCFxCD .....(4)
from equation 3 and 4
1/2xEFxED=1/2xCFxCD
=> 1/2x12xED=1/2x12xCD
=>ED=CD
=>13x-16=4x+11
13x-4x=16+11
9x=27
x=3
so
FD^2=EF^2+(ED)^2
FD^2=(12)^2+(4x3+11)^2
=>FD^2=144+529
=>FD^2=673
FD=+-25.94
help me plz branniest to whoever is right
Answer:
x= -7, x=8
Step-by-step explanation:
factoring method..
f (x) = - x² + 12x - 20
= - x² + 10x + 2x - 20
= - x( x - 10 ) + 2( x - 10 )
= ( x - 10 ) ( -x + 2 )
=> x = 10, x = 2
Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of
Answer:
[tex]ADC = 70[/tex]
Step-by-step explanation:
Given
[tex]BCA = 50[/tex]
[tex]DCA = 60[/tex]
See attachment for parallelogram and complete question
Required
Find ADC
From the attachment:
[tex]BCD = BCA + DCA[/tex]
[tex]BCD = 50+60[/tex]
[tex]BCD = 110[/tex]
Adjacent angles add up to 180.
So:
[tex]ADC + BCD = 180[/tex]
[tex]ADC = 180-BCD[/tex]
[tex]ADC = 180-110[/tex]
[tex]ADC = 70[/tex]
Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process
Answer:
x=-2
Step-by-step explanation:
[tex]\sqrt{x+3}+4=5[/tex]
subtract 4 from each side
[tex]\sqrt{x+3} +4-4=5-4[/tex]
square both sides
[tex]\sqrt{x+3}^2=1^2[/tex]
so we have
[tex]x+3=1[/tex]
subtract 3 from each side
[tex]x+3-3=1-3[/tex]
so our answer is [tex]x=-2[/tex]
An ice cream truck sells ice cream between 2 pm and 10 pm each night in the summer. At the end of the night the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the 1st hour to the 4th hour?
A. $24
B. $24 per hour
C. 8 hours
D. $8 per hour
20 points pizzazz help
Answer:
the answer is B hope it helps
Answer:
answer is B
Step-by-step explanation:
A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?
Answer:
P(not landing on blue section)=2/3
Step-by-step explanation:
Not landing on blue section = landing on one of the other sections
the remaining sections are 2 each one has a P=1/3
2 × 1/3 = 2/3
Answer:
66%
Step-by-step explanation:
2 divided by 3= 0.666666666 which is then converted to percent (66%)
A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220
Can anyone help me on this please
I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?
Answer how but just put it on brainly
Step-by-step explanation:
it tells you the answer
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
Find the area of of a regular octagon with side length 20 cm.
A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²
If n = 5, which of the following is not equivalent to 24?
Answer:
there is no picture?
Step-by-step explanation:
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
Ellie worked 6 hours on Monday, 4.5 hours on Tuesday, 4 hours on Wednesday, 5.75 hours on Thursday, and 3 hours on Friday. If she is paid $10.18 per hour. Find her gross earnings for the week.
Answer:
⚠️DO NOT RELY ON ME⚠️ But, just by doing It in my head i think it's 236.685, but I don't really know just my thought process and mental math