Answer: 54 people
Step-by-step explanation:
Given:
There are 135 people.
There are 3 facilities - Gym, Swimming Pool and Track.
Gym = 77
Swimming Pool = 62
Track = 65
Gym and pool = 27
Pool and track = 23
Gym and track = 31
All 3 facilities = 4
To FInd:
The number of people who use exactly one facilities.
Explanation:
Such question is easiest solved by using a Venn diagram. See attached.
Solution:
Find the number of people who goes to Gym and Swimming Pool only:
Gym and Swimming Pool only = 27 - 4
Gym and Swimming Pool only = 23
Find the number of people who goes to Swimming Pool and Track only:
Gym and Swimming Pool only = 23 - 4
Gym and Swimming Pool only = 19
Find the number of people who goes to Gym and Track only:
Gym and Swimming Pool only = 31 - 4
Gym and Swimming Pool only = 27
Find the number of people who goes to Gym only:
Gym only = 77 - 23 - 27 - 4
Gym only = 23
Find the number of people who goes to Swimming Pool only:
Swimming Pool only = 62 - 23 - 19 - 4
Swimming Pool only = 16
Find the number of people who goes to Track only:
Track only = 65 - 27 - 19 - 4
Track only = 15
Find the total number of people who goes to one facility only:
One Facility = 23 + 16 + 15
One Facility = 54
Answer: 54 people.
Step-by-step explanation:
10+4y=20
Help me and out the steps in please
Answer: 10+4y=20
4y= 10
y= 10/4
y= 5/2
Step-by-step explanation: above
Please help on these math problems and I will give brainliest and 45 points
Answer:
1. 24 laps on day 4
2. ___
3. 67
4. 10 Adults
5. 32
6. 18 people served
7. 5(x+9)
8. 50
9. 39
10. 15
11. 25
12. 2 x 5 x 5
13. GCF: 6 .... LCM: 180
14. ___
15. ___
16. x=49
17. m=10
18. r=27
19. 23
20. 72% < 7/8
Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)
Answer:
The sample standard deviation is of 248.19.
Step-by-step explanation:
First we find the sample mean, which is needed to find the sample standard deviation.
Sample mean:
Sum of all values in the sample, divided by the number of values. So
[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:
[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]
The sample standard deviation is of 248.19.
no link answers or a n answer just to get points please you will be reported I ry need help
Raphael is performing an experiment where he is measuring the evaporation
rate of water. He records the depth of the water in a bucket, measured in
centimeters, for ten days. A linear equation that models the results of his
experiment is y = -0.6x+8. What does the slope of this model suggest about
the evaporation rate?
A. The height of the water increases about 0.6 cm per day.
B. The height of the water decreases about 0.6 cm per day.
C. The height of the water increases about 0.6 cm over ten days.
D. The height of the water decreases about 0.6 cm over ten days,
Answer:
b
Step-by-step explanation:
i just took the test
 A 20-sided die is rolled.
A) Find the probability that the die shows a number greater than 15.
B) Find the probability that the die shows an even number.
C) Find the probability that the die shows a number that is not 5, 6, 7, or 8.
D) Find the probability that the die shows a number that is Prime.
Answer:
A) .25 or 25% or 1/4
B) .50 or 50% or 1/2
C) .55 or 55% or 11/20
D) .4 or 40% or 2/5
Asappp plz..................................
Answer:
5 feet per second
Step-by-step explanation:
Given that,
X(seconds) 0 1 2 3 4
Y (feet) 0 1 4 9 16
We need to find the average rate of change between 1 seconds and 4 second.
X = 4-1 = 3 seconds
Y = 16 - 1 = 15 feet
We know that,
Speed = distance/time
So,
[tex]v=\dfrac{15}{5}\\\\v=5\ ft/s[/tex]
So, the correct option is (c).
In order to obtain a linear relationship between predictor and response variable, you had to transform the response variable (Y) using a natural log transformation. After running the regression your estimate of the slope is 0.30011. Because you transformed the response variable the slope is no longer the change in Y, measured in the original units, per unit change in the predictor X. Using a simple mathematical expression you can still interpret the slope. Following the expression used in the lecture, the correct interpretation is now that this is a ___________change in Y per unit change in X. And the value of this change is __________
Answer:
Estimated average
0.30011
Step-by-step explanation:
Estimate of slope = 0.30011
Given that the transformed response variable possess a slope that is no longer the change in Y
The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is 0.30011
Which shows the use of the associative property?
A. 7n + 1/5 = 1/5 + 7n
B. 7 + (1/5 + n) = (7 + 1/5) + n
C. 7(n + 1/5) = 7n + 5/7
D. (7 + 1/5) +n = 7 1/5 + n
Edugenity 2021
Common Core math
Answer:
B shows the associative property
Can someone help me or explain how to find the missing value from the simple interest?
Help please I need this fast giving brilliance!
Answer:
d and e
Step-by-step explanation:
hope this helps
Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?
Answer:
Below in bold.
Step-by-step explanation:
You would join the faces with the greatest area
That is the faces with dimensions 3 feet by 5 feet.
ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest
Answer:D
Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.
b) Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)
Answer:
Area of window = 50 feet²
Step-by-step explanation:
In the given question dimensions of the window (length and width) are missing.
So,
Assume;
Length of window = 10 feet
Width of window = 5 feet
Find:
Area of window
Computation:
Area of window = Area of rectangle
Area of rectangle = Length x Width
Area of window = Length of window x Width of window
Area of window = 10 x 5
Area of window = 50 feet²
Sally uses 5 1/5 of clay to make a set of four pots that are exactly the same.
How much clay does Sally use for each pot?
Answer:
1 3/10
Step-by-step explanation:
5 1/5 ÷ 4= 1 3/10
Answer:
1 3/10
Step-by-step explanation:
5 1/5 ÷ 4 = 26/5 ÷ 4/1 = 26/5 × 1/4 = 26/20 = 13/10 = 1 3/10
What would this One be??
Answer:
the pre-image and the image are congruent
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
I need an answer quick!!!
Answer:
0.34
Step-by-step explanation:
it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.
Answer:
The answer is .34
When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line
Answer:
Answer. -2
Step-by-step explanation:
hope this helps!!
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
To learn more about frequency, click:
https://brainly.com/question/30333783
#SPJ7
PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w
Answer:
w = 5
Step-by-step explanation:
(26+4)=30, and 30/6=5, therefore, w = 5.
so (26+4) = 30
and 30/6=5
so the answer is w=5
Please answer both!!
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?
Answer: I can't really tell you the answer because you didn't show the graphs...
Step-by-step explanation:
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given that the boat's value decreasing at a rate of 40% per year, hence:
b = 100% - 40% = 60% = 0.6
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Acellus
Find the indicated side of the triangle.
b
45°
28
a
a =
Enter
Answer:
a = 28 / √2
Step-by-step explanation:
Isosceles triangle therefor a = b
use pythagorean theorem
a² + a² = c²
2a² = 28²
a² = 28² / 2
Take the square root of both sides
a = 28 / √2
Answer:
a = [tex]\frac{28}{\sqrt{2} }[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{28}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 28 ( divide both sides by [tex]\sqrt{2}[/tex] )
a = [tex]\frac{28}{\sqrt{2} }[/tex]
_ +18=5+41
What is the equation to finding the missing number
Answer:
28
Step-by-step explanation:
5+41= 46, so now subtract 46 to 18 and you get 28
To check 18+28=46 and 5+41=46
Answer:
Equação básica de segundo grau
Nora can do 70 push-ups in 2 minutes.
Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.
Answer:
They can both do 35 push-ups per minute, with an equal ratio between them.
Step-by-step explanation:
Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:
70/2 = X
35 = X
105/3 = X
35 = X
Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.
What is the value of c in the equation below?
2^-4•2^2=a^b=c
О-4
О -2
O1/64
O1/4
Since the expression is equal to "c" hence the value of c in the equation is 1/4
Indices and functionsGiven the following exponential expression
2‐⁴ •2^2 = a^b = c
Simplify the exponent
2‐⁴ = 1/2⁴ = 1/16
2² = 4
Substitute
2‐⁴• 2² = 1/16 * 4
2‐⁴ • 2² = 1/4
Since the expression is equal to "c" hence the value of c in the equation is 1/4
Learn more on exponents here: https://brainly.com/question/11975096
I need the answer fast psl
Answer:
I think Ordered Pair
Step-by-step explanation:
5) Beth is making brownies. She makes 5 batches of brownies on Saturda She uses 1/4 cup of butter in each batch. How much butter does Beth use O 5/4 or 1 1/4 O 6/4 05/20 071/4 Send me a copy of my responses
Answer:
the answer is 5/4. If you multiply 1/4 by 5 you get 1 1/4 which is the same as 5/4.
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
Amil has a recipe that calls for 2/3 cups of flour. Amil wants to make 4 1/2 times that recipe. How many total cups of flour does Amil need?
Answer:
she will need 3 cups
Step-by-step explanation:
the total cups of flour Amil is 3 cups
Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Answer:
[tex]Pr = \frac{2}{9}[/tex]
Step-by-step explanation:
Given
A roll of two dice
Required
Probability of getting a sum of 8
First, we list out the sample space
[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]
[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]n(S) = 36[/tex]
From the sample space, the outcomes that give a sum of 8 are:
[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]
The total is:
[tex]n(Sum) = 8[/tex]
So, the probability is:
[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]
[tex]Pr = \frac{8}{36}[/tex]
[tex]Pr = \frac{2}{9}[/tex]