Answer:
The answer is below
Step-by-step explanation:
Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.
n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x
n(B∩F∩V) = 20% of x = 0.2x
n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x
n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x
n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x
n(B∪F∪V)' = 8
n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82
n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77
n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125
Therefore:
x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'
x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8
x = 2.1166x - 134
1.1166x = 134
x = 120
Therefore there was 120 students
Simba is 13 years old. how old will he be in 8 years from now? how old will he be in y years from now?
Answer:
13+8=21 in 8 years
13+y=blank years for now
hope this helps
have a good day :)
Step-by-step explanation:
PLs, help me with this math question, and please answer if you only know it.
Answer:
Step-by-step explanation:
This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.
First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.
Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,
∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).
If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then
∠5 = 100° . Angles 4 and 5 are supplementary, therefore,
∠4 = 80°
Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so
∠6 = 30°
Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that
∠2 ≅ ∠3 = 50°
Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,
∠7 = 25°
Find the length of arc XW. Round your answer to the nearest hundredth.
Answer:
15.08 m
Step-by-step explanation:
The angle XZW :
XZW + 108° = 180°
XZW = 180° - 108°
XZW = 72°
Length of an arc = θ / 360 * πd
d = diameter = XV = 24
Length of arc XW = (72/360) * π * 24
Length of arc XW = 15.0796
Length of XW = 15.08 m
Answer:
15.08
Step-by-step explanation:
Which relation is a function?
Answer:
C
Step-by-step explanation:
if you don't have from same x different outcomes is a function
think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)
A. not a function because (6, -3) and (6, 3)
B. not a function because (4,7) and (4,2)
C. is a function
D. not a function because (2, -1) (2,1) (2,3)
help i’ll give brainliest
Answer:
The answer would be D, hope this helps
Q 4: A triangle has vertices A (1,6), B (1, 2) and C (6,2). What is the area of the triangle?
Plss helpppppp.
Answer:
10 units
Step-by-step explanation:
point A has the coordinate (1,6) and point B has the coordinates (1,2), so the difference in the y values will give height of the triangle which is 6-2 = 4
similarly the point B has the coordinates (1,2) and point C has the coordinates (6,2). Calculate the difference in x values which is 6-1 = 5 which is the base of the triangle
now use the area of a triangle formula which is 1/2 * b * h
= 1/2 * 5 * 4
= 1/2 * 20
= 10
a three-digit lottery ticket using the numbers 0 to 9 has how many possible combinations? using only the fundamental counting principal.
Answer:
1000 combinations
Step-by-step explanation:
What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?
Answer:
8.6cm
Step-by-step explanation:
V = 4/3 pi r^3 = 334, solve for r = 4.30
double for diameter = 8.61
Step-by-step explanation:
you can see there
just click the photo
does anyone know hot to find the area?
Please help I will give brainliest
Answer:
52, 60, 68, 76..
Step-by-step explanation:
A measure that describes the typical value of a data set
a
measure of variation
b
mean absolute deviation
c
statistics
d
range
e
measure of center
f
statistical question
e
measure of center
as A measure that describes the typical value of a data set mean,median and mode.
1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}
Find the mean.
Find the Medium
Find the mode(s)
Find the range
Mean=23
Median=21.5 its a hard one to do so yeah
Modes=28
Range=22
There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?
Answer:
35
Step-by-step explanation:
sdfghjkolkgdsdfghjkl
The possible number of the group the movies will be 840.
What are permutations and combinations?Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.
Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.
The combinations will be calculated as:-
Combination = ⁷C₄
Combination = ( 7 x 6 x 5 x 4 )
Combination = 840
To know more about permutation and combination follow
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The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?
Answer:
15
Step-by-step explanation:
The length of BC=20cm I think
Find the height of triangle
Answer:
60
Step-by-step explanation:
First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion
60/x = x/60.
Cross multiply
x^2 = 3600
and now find the square root of 3600
60
What is the length of the hypotenuse?
Answer:
65 cm
Step-by-step explanation:
16^2 x 63^2 = 65^2
Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?
Answer:
35
Step-by-step explanation:
The 14 sweets Peter gets is 2 parts of the ratio, then
14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then
5 parts = 5 × 7 = 35 ← number of sweets Bridget gets
Find the value of x and y.
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Helppp I beg ya 20 points and I’ll give brilliants to
Answer:
im not that smart
Step-by-step explanation:
Find the measurement of the base.
3.5 in
Area = 12.6 in?
For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range
Answer:
Independent [tex]\to[/tex] Domain
Dependent [tex]\to[/tex] Range
Step-by-step explanation:
Required
Fill in the gaps
A function is represented as:
[tex]y = f(x)[/tex]
Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).
Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.
helppppppppppppppppppp
Answer:
B
Step-by-step explanation:
You just substitute the values in for A and B and then you simplify
The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182
hope this helped
Answer:
182
Step-by-step explanation:
First, plug in 17 for a
10·17+b=170+b
Then plug in 12 for b
170+12=182
There you go!
182
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
A.Subtract 13 from both sides
B.Add 7x to both sides
C.Add 2 to both sides
D.Subtract 4x from both sides
Answer:
E.? subtract 2 on both sides
Step-by-step explanation:
the wording (to me) is mixed up for a and c
sry if its not correct
plzplzplzhelpmeeeeeeeeee
Answer:
A = 7
Step-by-step explanation:
√50 = 7.07
approximating it will give you
= 7
What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm
HELPPP
Answer:
C. 69.1
Step-by-step explanation:
Circumference formual = 2pi r
2 × 3.14 × 11
69.1cm
The circumference of the circle is 69.1 cm.
What is circumference?The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.
Given that a circle with radius 11 cm, we need to find the circumference of the circle,
Circumference = π × 2 × radius
= 3.14 × 2 × 11
= 69.1 cm
Hence, the circumference of the circle is 69.1 cm.
Learn more about circumference, click;
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Juan is a teacher and takes home 68 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Juan have remaining to grade after working for 7 hours?
Answer:
26 papers
Step-by-step explanation:
Well this is pretty straight forward
if he can grade 6 papers an hour
we just multiply 6 by 7 to get how many papers he graded in 7 hours
6*7= 42
now we subtract 42 from 68 to get how many papers are left to be graded
68-42=26
26 papers are left
can someone help a brotha out
Answer:
x = 5
y = 6
Step-by-step explanation:
Let's Solve for x-value first:
By the midsegment theorem we can say;
18 = 2x + 8
18 - 8 = 2x
10 = 2x
10/2 = x
5 = x
Now that we have x-value, let's figure out y-value similarly;
22 = 4y - 2
22 + 2 = 4y
24/4 = y
6 = y
There is the answer!
x = 5, and
y = 6
Hope this helps!
Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
Answer:
12 units
Step-by-step explanation:
the perimeter = AB+AC+BC=
3+4+5 = 12
Answer:
12 units
Step-by-step explanation:
AB = 3 units
BC = 5 units
CA = 4 units
Perimeter of triangle,
→ AB + BC + CA
→ 3 + 5 + 4
→ 12 units is the answer.
help me plzz plzzz plzzzz
Answer:
60 degree
Step-by-step explanation:
a hexagon has a total sum of angles equal to 720
720/6 = 120
180-120 = 60
Try your best to answer it
Answer:
y=-4(x,y)=(0,-4)
y=-3(x,y)=(2,-3)
y=-2(x,y)=(4,-2)
y=-1(x,y)=(6,-1)
y=0(x,y)=(8,0)
y=1(x,y)=(10,1)
Step-by-step explanation:
Answer:
Answer attached
Step-by-step explanation:
I think you can plot it in the graph.