Answer:
0.285
Step-by-step explanation:
Total peoples are, n=130
Number of people who use gym =65
Number of people who use swimming pool =51
Number of people who use the track =44
Number of people who use the gym and the pool =15
Number of people who use the pool and the track =14
Number of people who use the gym and the track =10
Number of people who use the gym, the pool, and the track =1
So, the number of people who use the gym and the pool =15-1=14
The number of people who use the pool and the track =14-1=13
The number of people who use the gym and the track =10-1=9
Now, the people who use at least two facilities are the people who use 2 or 3 facilities, which is 14+13+9+1=37.
So, the number of favorable outcomes =37
Total number of sample space, n=130
Hence, the probability, P, that the 1 randomly selected person uses at least 2 facilities is as follows:
[tex]P=\frac{37}{130}=0.285[/tex]
If t = 10m + 40 models this scenario,
t = total cost;
m = number of months;
Which of the following statements is true?
O A. The total cost will increase by $40 for every 10 months that pass.
B. The total cost will increase by $10 for every 40 months that pass.
C. The total cost will increase by $10 for every month that passes.
D. The total cost will increase by $40 for every month that passes.
Help!
Solve the following proportion for u.
u 5
— = —
10 11
Round your answer to the nearest tenth.
u = ___
Will mark as brainliest if you help out (:
Find the least number which must be added to 1272 to make it a perfect
square. Also find its square root.
Step-by-step explanation:
Adding 24 to 1272?
becomes 1296
36^2 = 1296
its square root's 36.
hope its correct^^
The larger of two numbers is twelve more than the twice smaller number. The sum of the numbers is 42. Find the two numbers . Please set up a , set up the equation , and then solve the equation .
Answer:
The smaller number: a = 10
The larger number is 32
Step-by-step explanation:
a - the smaller number
2a - twice the smaller number
2a+12 - twelve more than the twice smaller number (the larger number)
a + 2a+12 - the sum of the numbers
a + 2a+12 = 42
-12 -12
3a = 30
÷3 ÷3
a = 10
2a+12 = 2×10+12 = 20+12 = 32
Check: 10+32=42
Describe the process you used to find the equation of a line through two
points. Have you learned any tricks or shortcuts when doing this? Explain
if you have.
Answer:
Explanation at the bottom
Step-by-step explanation:
To find the slope with the 2 points use this ---> [tex]\frac{y2 - y1}{x2 - x1}[/tex] Ex: Points (9, 3) (6, 12) --> write it this way [tex]\frac{12 - 3}{6 - 9}[/tex] = [tex]\frac{9}{-3}[/tex] = -3 so -3 would be the slope of that line.
Then to find the y- intercept use the slope and the numbers from one of the points like this ----> y = mx + b we are looking for b.
(plugging in the first point) (using the point (9,3))
3 = -3(9) + b
3 = -27 + b (add 27 on both sides)
30 = b (that's your y- intercept)
(Full equation is)
y = -3x + 30
If you need further explanation just comment!!
if x reprents a number then write an expression for 7 more than one half the number
Answer:
the answer is 7+(x÷2) im pretty sure but i haven't done those in a while.
What is the midpoint of -5.8 and -3.5 on a number line??!
Answer:
-4.65
Step-by-step explanation:
5.8-3.5=2.3
2.3 divided by 2=1.15
3.5+1.15=4.65
Answer: -4.65
Help Help will mark you BRAIN LIST
Answer:
the answer is 6
Step-by-step explanation:
yes u are suppose to simplify
NO ONE EVER HELPS ME , PLEASE HELP ME I NEED HELP!
If A=1/2 h (b1 +b2) is the formula for the area of a trapezoid, find the height of the trapezoid that has an area of 78 in ^2 and base lengths 5 in and 8 in.
Answer:
A is the answer
12 in
first substitute the variables
then 78=1/2h(5 + 8)
this makes it an equation
add similar terms which equals to
78=1/2xhx13
then divide both sides by 13
6=1/2xh
lastly divide both sides by 1/2
12=h
Step-by-step explanation:
proof
A=1/2x12(5 + 8) then
A=1/2x12x13 then
A=6x13 then
A= 78in^2
How do u show that these 2 lines are parallel
L is y=3x-2
L*2 is 3y-9x+5=0
Answer:
If two lines are parallel, then they have the same gradient.
Step-by-step explanation:
L is y=3x-2
L*2 is 3y-9x+5=0
The gradient for the first equation is 3
We need to rearrange the second equation and see if it has the same gradient as the first equation.
L*2 is 3y-9x+5=0
3y = 9x - 5
L*2 y = 3x - 5/3
As you can see, once you rearrange and simplify the equation, the second line has the same gradient as the first equation.
So that means these two lines are parallel
i need help with this question, im just confused
Answer:
See below
Step-by-step explanation:
Given triangle JKL
The Δ JKL is isoscelesSegment MK is bisector of angle JKLa) Perpendicular segments are
KM and JLb) Equal angles are
∠KJL = ∠KLJ∠JKM = ∠LKM∠JMK = ∠LMK = 90°On a test of 80 problems, Bill got 75% of the problems correct.
How many did he get correct?
A. 75
B. 60
C. 50
D. 40
E. 30
Answer:
60 problems correct so b is correct
Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a
group of her friends. If she has $20, which inequality can be solved to show the
Multiply 6/13 and 7/22 in simplest form
Answer:
21/143
Step-by-step explanation:
If it was simplified into a decimal it would be .146853
Solve
3x - (x - 4) = 18
Answer:
7
Step-by-step explanation:
Distribute
3x-x+4=18
Combine like terms
2x+4=18
Subtract 4 on both sides
2x=14
Divide 2 on both sides
X=7
Answer:
x = 7
Step-by-step explanation:
3x - (x - 4) = 18 =
3x - x + 4 = 18 =
2x + 4 = 18 =
2x + 4 - 4 = 18 - 4
2x = 14
x = 7
slope intercept of (1,1) and (0,7)
Answer:
[tex]\boxed {m = -6}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you determine the slope of the following two points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(Where [tex](x_{1}, y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Apply both points onto that formula:
[tex](x_{1}, y_{1}) = (1, 1)[/tex]
[tex](x_{2}, y_{2}) = (0, 7)[/tex]
[tex]m = \frac{7 - 1}{0 - 1}[/tex]
-Solve:
[tex]m = \frac{7 - 1}{0 - 1}[/tex]
[tex]m = \frac{6}{-1}[/tex]
[tex]\boxed {m = -6}[/tex]
Games at the carnival cost $4 each. The prizes awarded to winners cost $175.50. How many games must be played to make at least $60? Write, solve and graph the inequality.
Answer:
15
Step-by-step explanation:
a sequence of transformations maps angleABC to A'B'C'. the sequence of transformations that maps ABC to A'B'C' is a reflection across the ____ followed by a transformation ____
first drop down
y-axis
x-axis
line y=x
line y=-x
second drop down
4 units to the right and 10 units up
8 units to the right and 4 units up
10 units to the right and 2 units up
10 units to the right and 4 units up
Round 169,750 to the nearest hundred thousand
Answer:
200,000
Step-by-step explanation:
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need? Show your work. Explain how you know your answer is correct.
Answer:
144 cans
Step-by-step explanation:
Number of cans in the top row = 1
Number of cans in the second row = 3
Number of cans in the third row = 5
Here, the sequence obtained is [tex]1,3,5,...[/tex]
This forms an arithmetic progression with common difference as [tex]3-1=5-3=2[/tex]
Let d denotes the common difference and n denotes number of terms.
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
Here, [tex]S_n[/tex] denotes sum of n terms.
Put [tex]a=1,d=2,n=12[/tex]
[tex]S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144[/tex]
Jen drives due south for 12 km. She then drives due west for 6 km and then continues south again for 3 km. How far to the nearest km is Jen from her starting point?
What is the equation of a line that is parallel to the y-axis and goes through the point (6,-1) Plsss help
m22 is (31x - 4)º and m27 is (29x + 4).
a
1 2
34
56
7 8
What is m 23?
Answer:
120
Step-by-step explanation:
31x-4 = 29x+4
2x=8
x=4
31(4)-4 = 120
Billy and Tommy went to the movies. They are going to combine their money for snacks. Popcorn costs $8 and a box of candy costs $1.50 each. They each want their own popcorn. They spent the rest of the money on candy. If the total cost was $25.00, how many boxes of candy did they buy? Create a algebraic equation and solve for the number of candy boxes.
Answer:
6 candy boxes
Step-by-step explanation:
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
Haley got a 93% on her first math test and an 86% on her second test. What is her percent decrease from Test 1 to Test 2 to the nearest tenth?
Enter the correct answer in the box.
Answer:
7.5?
Step-by-step explanation:
Guessing!!! hope it's correct,
Because
Percent Decrease = Percentage Decrease=Starting Value−Final Value|Starting Value|×100
If Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%
Using this formula
Percentage Decrease=Starting percentage−Final percentage÷ Starting percentage×100
Where:
Starting percentage=93%
Final percentage=86%
Let plug in the formula
Percentage Decrease=93%-86%÷93%×100
Percentage Decrease=7%÷86%×100
Percentage Decrease=7.5%
Inconclusion if Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%
Learn more here:
https://brainly.com/question/15462811
Find the equation of the linear function represented by the table below in slope-
intercept form.
x
o
1
2
3
4
y
8
16
24
32 40
Answer: y =
Submit Answer
Answer:(5,48)
Step-by-step explanation:
What should be the first step to solve the equation? 2x + 9(x - 1) = 8(2x + 2) - 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
Step-by-step explanation:
the answer is b
Answer: The answer is B, use the distributive property on each side of the equation.
PLZ help. The first correct answer gets brainliest!
Answer:
I
Step-by-step explanation:
you start in (0,3) than moved one up and two to the side and you and up with (2,4) = i
Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answer:
There are infinite possibilities for x
Step-by-step explanation:
5 + 3x = 3x + 5
-5 -5
3x = 3x
÷3 ÷3
x = x
Therefore, you can put any replacement to x, and the equation would be true.
It took a pet store 7 weeks to sell 56 cats. What is the rate sold per week?
Answer:
About 8 cats were sold a week, so the rate sold per week: 8 ^‿^