Answer:
7/130Step-by-step explanation:
Using set notation to answer the question. let:
n(U) be the total people in a sport centre =130
n(G) be number of people that use the gym. = 76
n(P) be number of people that use the swimming pool. = 60
n(T) be number of people that use the track = 32
n(G∩P) be number of people that uses the gym and the pool = 23
n(P∩T) be number of people that uses the pool and the track = 8
n(G∩T) be number of people that uses the gym and the track = 320
n(G∩P∩T) be number of people that uses all three facilities = 6
Using the relationship below;
n(U)= n(GUPUT)+n(GUPUT)'
where n(GUPUT)' is the number of people that doesn't use any facility.
Before we can get that, we need to know n(GUPUT) using the formula;
n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)
n(GUPUT) = 76+60+32-23-8-20+6
n(GUPUT) = 123
n(GUPUT)' = n(U)- n(GUPUT)
n(GUPUT)' = 130 - 123
n(GUPUT)' = 7
This means that 7 person doesn't use any facility.
Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130
angles M and N are supplementary find angle M if angle N=27
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.
How long and how wide is the actual swimming pool?
Answer:
1cm
Step-by-step explanation:
Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.
Answer:
-3, -3
Step-by-step explanation:
How many real number solutions exist for 2x2 + 8x + 8 = 0?
A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help
Answer:
B
Step-by-step explanation:
2x^2+8x+8=0
x^2+4x+4=0
(x+2)^2=0
so B, 1 solution
At a local frozen yogurt shop you have a choice of 6 different flavors of yogurt and 18 different toppings. There would be how many ways to select yogurt and a topping? (Permutations and combinations)
Answer:
108
Step-by-step explanation:
1. An arch in the shape of a semicircle is to be set up at the entrance of a festival.
The distance around the arch is about 110 feet. What is the height of the arch, in
feet? Round your answer to the nearest whole number.
Answer:
35 ft
Step-by-step explanation:
The arch is in the shape of a semicircle.
The distance around the arch is about 110 feet. This is the same as the circumference of the arch.
The height of the arch is the radius of the arch.
The circumference of a semicircle is given as:
[tex]C = \pi r[/tex]
where r = radius
Therefore:
110 = πr
=> r = 110/π
r = 35.01 ft ≅ 35 ft
The height of the arch is 35 ft
The height of the arch in feet is 35 ft.
Calculation of the height:Since The distance around the arch is about 110 feet.
We know that
The circumference of a semicircle should be
110 = πr
[tex]r = 110/\pi[/tex]
r = 35.01 ft
≅ 35 ft
hence, we can conclude that The height of the arch in feet is 35 ft.
Learn more about height here: https://brainly.com/question/4089721
Yoooooo help me out pls
-ayyyyy
Answer:
probably a. metres
Step-by-step explanation:
hectometres are huge and the other two are super small so thats my guess lol
Answer:
Step-by-step explanation:
A square meters-
Millimeters are super small
And the other ones are to huge
Dats easy
Write the equation of the line that contains the
points (4, -7) and (1,5).
Answer:
y=-4x+9
Step-by-step explanation:
y=-4x+9
m=y2-y1/x2-x1
m= 5-(-7)/1-4
m=12/-3=-4
y=-7 m=-4 x=4 find b
y=mx+b
-7=4*4 +b
b=-7+16 = 9
Do you know the answer? if you do I will follow you mark you the best.
Answer:
16:24 is the answer
Hope it helps:)
Step-by-step explanation:
The initial number of cards were
1x:1x
(Equal red cards and black cards)
So, total of 48 and..
24 red cards
24 black cards
Now, since 8 red cards are removed we have,
24-8= 16 red cards
and 24 black cards
So the ratio of red to black is--
16:24
= 2:3 ( i divided both with 8 to simplify )
Pack 48 48/2 =24
Red= 24 24/24 : 24 / 24
Black = 24 1:1
----------------------------------------------------------------
Pack 48 48/2 = 24
Red= 16 24 / 16 : 24 / 24
Black= 24 1,5 : 1
There's 1,5 black cards for each red card
Part : Find g(x) by identifying the function you are taking the square root of
Answer:
g(x) = (3x-4)
Step-by-step explanation:
F(x) = sqrt( 3x-4)
We are taking the square root of (3x-4)
so g(x) = (3x-4)
A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2
Answer:
4x+6
Step-by-step explanation:
P=2L+2W
P= 2(x+2) +2(x+1)
P= 2x+4+2x+2
P= 4x+6
Plz answer fast and help mr
Answer:
The median is 47
Step-by-step explanation:
that line in the middle of the box is directly on 47
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer: 10.2
Step-by-step explanation:
What is the area of trapezoid QRST?
Answer:
?
Step-by-step explanation:
divide the trapezoid into 1 square and 2 triangles.
then calculate the square.
6 * 6 = 36.
after youve done this you have to calculate the triangles.
6 * 3 = 18 = 1 triangle
18 * 2 = 36 = 2 triangles
now add them together:
36 + 36 = 72
in conclusion this should be the proper answer but its not on your page so...
i would say count the squares 1 by one...
but i did that...
its 54
:)
I attached the picture for this question
Answer: B or c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
g and h are supplementary angles meaning that they add up to 180.
Therefore what you have to do is do 180-g.
Since g equals 117, you do 180-117=63
is (1,8) a solution of the equation 3x + 5 = y ?
A True
B False
Answer:
A.
Step-by-step explanation:
Plug it in:
3 + 5 = 8
TRUE
Lines l and m are parallel.
Use the diagram to determine the measure of ∠3.
Answer:
∠3 is 70°
Step-by-step explanation:
∠1 is 50° since it is across from another 50° angle
and then you use the equation x+25+2x+50=180 to find x
x then equals 35°
you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°
Answer:
It is 70
Step-by-step explanation
right on egde 2020.
PLEASE HELP ME I WILL GIVE BRAINLIEST
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
there are fourteen 4-point questions and twenty six 2-point questions.
Step-by-step explanation:
Given : A 40-question test has 108 possible points.
There are m 4-point questions and n 2-point questions.
So , equation for total number of questions in the test :
m + n = 40 | 4n + 2n = 108
Multiplying (i) by 2 , we get
2m + 2n = 80
Subtract (iii) from (ii) , we get
2m = 28
⇒ m = 28/ 2 = 14
Using value of m in (i) , we get
14 + n = 40 ⇒ n = 26
from this we get there are fourteen 4-point questions and twenty six 2-point questions.
hope this helped!
Ummm help someone who knows what they doing
Answer:
X = - 6
Step-by-step explanation:
18x + 30 = 6(2x – 1)
Multiply 6 to 2x and - 1
18x + 30 = 12x – 6
Subtract 30 on both sides
18x = 12x – 36
Subtract 12x on both sides
6x = - 36
Divide by 6 on both sides
X = - 6
what is the definition for a line segment
Answer: A line segment is a part of a line. It has 2 endpoints.
Step-by-step explanation:
Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.
So, in order for a figure to be a line segment,
it needs to begin and end at an endpoint.
Take a look at the image provided below.
Help please! look at the attachment
Answer:
B
Step-by-step explanation:
I need help please!! Identify the solution for the system of equations graphed here.
A. (1,1)
B. (-1,1)
C. (1,-1)
D. (-1,-1)
Answer:
C. (1,-1)
Step-by-step explanation:
Lines are intersecting each other at point (1, - 1).
Hence, the system of equations graphed here would be (1, - 1)
Can some one please do this question?
Answer: a number added to three then reduced by 2
Step-by-step explanation:
3+1= 4
4-2=2
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours?
Answer:
4.5 or 4 1/2 miles
Step-by-step explanation:
[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]
Hope this helps!
Pls ANSWER LOOK AT THE PHOTO ANSWER ASAP
Answer:
Answer number one, x < 7/12
Answer:
A
Step-by-step explanation:
If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.
7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?
Answer:
x/7
Step-by-step explanation:
7*y=x
:7 :7
y=x/7
Find the slope of the line 25 points
y
=
9
7
x
+ 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
97
Step-by-step explanation:
y=mx+b
m= slope
y=97x+1
Find the mean of the following group of numbers: 1.2, 2.3, 0.8, 2.3, 1.0, 3.1,
4.2, 1.4, 2.1, 0.4, 1.3, 2.0, 1.8, 3.2*
Answer:
1.93
Step-by-step explanation:
1.To find the mean you need to add all the numbers
2. Next divide by how many numbers they are
Example:
1,2,3,4
1. Add the numbers together
(1+2+3+4=10)
2. Divide by how many numbers they are
(There are only 4 numbers)
So..... 10 ÷4 =2.5
So 2.5 is the mean
A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?
Answer:
8
Step-by-step explanation:
There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat
Answer:80milliliters/pound
Step-by-step explanation:
Rate per a pound = 20/15=4/3
For 60pounds =4*60/3
=80milliliter/pound
