In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answers
Answer:
210
Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.
Step-by-step explanation:
Hello,
This question can easily be solved through the use of a venn diagram.
Total number of students = 55
Number of medals in sport = 40 = A
Number of medals in dance = 25 = B
Number of medals in music = 212 = C
Number of students that got award in the three categories = (AnBnC) = 6
n(AuBuC) = 55
n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =
n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)
n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
Therefore,
n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)
n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18
40 + 25 + 212 + 6 - 55 - 18 = 210
Note: this answer might be incorrect because of the value of C (music)
Related Questions
Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle. She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral. Which statement is true? A. Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral. B. Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral. C. Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral. D. Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.
Answers
Answer:
B
Step-by-step explanation:
It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.
That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.
Both statements she makes are true and that makes B the answer.
PLEASE HELP
What is the y-intercept of the given graph? -4 3 4 None of these choices are correct.
Answers
Answer:
3
Step-by-step explanation:
the line crosses the y-axis at (0,3)
Answer:
3
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The lines crosses at y=3
Y intercept is 3
Write an inequality:
from (–5) to (–1) inclusive
Answers
Answer:
Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.
Please help, thanks :) (Question is attached below)
Answers
Answer:
Step-by-step explanation:
the upper left graph is the correct answer
because "... or equal to" always represents a filled dot, while just "greater/less than" represents blank dot
The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?
Answers
Answer:
A.
Step-by-step explanation:
We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)
Then, replacing x by 3 on every option we get:
[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]
So, the answer is A. because g(x) is equal to 1
Which example illustrates the commutative property of addition for polynomials?
Answers
Answer:
The fourth.Step-by-step explanation:
The alternation of addition means you can swap places of components of sum.
(2x²+5x) and (4x²-4x) are polynominal components of the sum: (2x²+5x)+(4x²-4x)
Answer:
D
Step-by-step explanation:
got it right on edge
Choose the best estimate for the division problem below.
38.064/6.12
A. 9
B. 4.
c. 6
Answers
Answer:
c.6
Step-by-step explanation:
I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6
Hope this helps.
Write an expression for the cost of 12 uniforms, multiply 12 by the cost of 1 uniform.
Answers
Answer:
384
Step-by-step explanation:
the cost of the shirt is 13, pants is 11, and 8 for socks
13+11+8=32
the cost of 12 uniforms:12(13+11+8)=384
For cleaning the attic Jasmine was given $10.15. Now she has $23.43. How much money did she have before?
Answers
Answer:
13.28
Step-by-step explanation:
Take the total amount she has and subtract what she just earned
23.43 - 10.15
13.28
This is what she had before she started cleaning
Answer:
Step-by-step explanation:
23.43 - 10.15= 13.28 $
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.
Answers
Answer:
[tex]x \leq -7[/tex]
The graph has a closed circle.
–7 is part of the solution.
Step-by-step explanation:
Given
[tex]15 \geq 22 + x[/tex]
Required
Select 3 options from the given list of options
[tex]15 \geq 22 + x[/tex]
Subtract 22 from both sides
[tex]15 - 22 \geq 22 - 22+ x[/tex]
[tex]-7 \geq x[/tex]
Swap positions of the expression; Note that the inequality sign will change
[tex]x \leq -7[/tex]
This means x less-than-or-equal-to negative 7
There are two options left to select;
The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.
Inequality signs such as [tex]\leq[/tex] and [tex]\geq[/tex] signifies a close circle
There is only one option left to select;
Lastly;
Split the expression [tex]x \leq -7[/tex] into two
We have:
[tex]x < -7[/tex] or [tex]x = -7[/tex]
Because [tex]x = 7[/tex],
Then, -7 is also a part of the solution
Answer:
B) x less-than-or-equal-to negative 7
C) The graph has a closed circle.
E) –7 is part of the solution.
Step-by-step explanation:
Im not 100% sure but i am 95% sure they r
A(n)=-5+6(n-1).. what’s the 12th term?
Answers
Answer:
The answer is 61
Step-by-step explanation:
To find each n term replace the n with term u need to find .
A(12)= -5+6(12-1)
=-5+6(11)
=61
Answer:
61
Step-by-step explanation:
A(n)=-5+6(n-1)
Let n = 12
a(12) = -5 + 6(12-1)
-5+6(11)
-5+66
61
Identify the domain of the function shown in the graph.
Answers
Answer:
4 ≤x≤10
Step-by-step explanation:
The domain is the value that the input takes
X is the input
X goes from 4 to 10
4 ≤x≤10
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answers
Answer:
Option (D) is the correct option.
Step-by-step explanation:
Let the equation of a line which passes through (x', y') and slope 'm' is,
y - y' = m(x - x')
If this line passes through a point (-6, -5) and slope 'm' = 6
Equation of the line will be,
y -(-5) = 6[x - (-6)]
y + 5 = 6(x + 6)
Therefore, equation the line will be y + 5 = 6(x + 6).
Option (D) will be the answer.
I believe this is pretty easy but it's: solve for x using common denominators 3/4(x+2)=x/(x+3) Answer choices below:
Answers
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{x}{x+2}[/tex]
multiply numerator/ denominator of [tex]\frac{x}{x+2}[/tex] by 4, thus
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{4x}{4(x+2)}[/tex]
Since the denominators are common , equate the numerators, that is
4x = 3 ( divide both sides by 4 )
x = [tex]\frac{3}{4}[/tex]
Which equations represents inverse variation? Check all that apply
Answers
An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0
the product of five and a certain number is twelve
Answers
Answer:
Step-by-step explanation:
Hello
5 * [tex]\boxed{ }[/tex] = 12
so this number is
[tex]\boxed{ \ } = \dfrac{12}{5}[/tex]
Hope this helps
Answer:
[tex]\frac{12}{5}[/tex] or 2.4
Step-by-step explanation:
→ Form an equation
5 × ? = 12
→ Divide both sides by 5
? = [tex]\frac{12}{5}[/tex] or 2.4
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPP!
Answers
Help help help help help
Answers
for example with 4-6a
you would put 4 = 2•2 so 2 is it’s GCF
and 6= 3•2 so 3 is it’s GCF
however the question is asking for the combined GCF (meaning the whole problem)
so 4-6a’s GCF would be 2 considering it is the only greatest common factor between BOTH numbers
for 12a^2 - 8a you would use the same method:
12a^2= 3a•2a•2 and 3a is it’s GCF
8a = 2•2•2a and 2a is it’s GCF
but combined, the greatest factor BOTH numbers have in common is 2a, so 2a is the answer!
i hope i helped you :)!❤️
An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.
An oblique cone has a diameter of 2 x and a height of 2 x. The volume of the cone is 18 pi cubic units.
What is the radius of the cone?
Answers
Answer:
3
Step-by-step explanation:
plug in the values in the formula of volume of cone
18pi=pi(x^2)(2x)(1/3)
then solve for x
multiply both sides by 3 : 54pi = pi(x^2)(2x)
divide pi from both sides : 54 = (x^2)(2x)
divide 2 from both sides : 27 = x^3
cube root of both sides : 3 = x
Answer: 3
Step-by-step explanation:
edg 2020
solve : 3/2 X -7/2 = 5x +14
Answers
Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
Martin took 16s to run 120m. What was his speed in m/s ?
Answers
120/16
=7.5 m/s
Can somebody plz help me [-5+(-7)]^2-(7+3)^2
Answers
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Resolving Parenthesis
[tex](-5-7)^2-(10)^2\\(-12)^2-100\\144-100[/tex]
=> 44
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Solve for brackets first.
[tex][-12]^2-(10)^2[/tex]
Solve the exponent or power.
[tex]144-100[/tex]
Subtract the numbers.
[tex]=44[/tex]
Which of the following statements is true
A. The relationship is a function because there are no two y-values corresponding to the same x-value
B. The relationship is not a function because there is more than one x value corresponding to y=2
C. The relationship is not a function because there are values of y that have no corresponding x- value
D. The relationship is not a function because each y has a corresponding x-value
Answers
PLEASE HELP ME I DONT UNDERSTAND AND NOW IM WRITING STUFF TO GET AT LEAST 20 WORDS SO I CAN ASK THE QUESTION
Answers
Answer:
The answer is 75 degrees
Step-by-step explanation:
Supplementary angles add to 180 and 105 + Y= 180.
So, you subtract 105 from 180 and Y is 75
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 .2 1,400 .3 1,300 .5 Click here for the Excel Data File What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Answers
Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
An observational study is described. Determine the given element. An educational researcher used school records to determine that, in one school district, 84% of children living in two-parent homes graduated high school while 75% of children living in single-parent homes graduated high school. Determine the parameter of interest. Group of answer choices
Answers
Answer:
Step-by-step explanation:
The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population
In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.
3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answers
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
what is 2 add 1 PS first person to get it correct gets brainiest and thank
Answers
Hey There!!
Your answer will be 3.
Step-by-step explanation:
Because, 2 + 1 = 3
Answer:
Hey!
Your answer is 3!
Step-by-step explanation:
2 + 1 = 3!
Hope this helps!
:>
Kabir wants to know the volume of a solid right pyramid with a square base.
Answers
HELP WITH THIS , PLEASE .
Answers
Answer:
writing the answer would be confusing so i went on and wrote it on the page click image the attached to see the answers