in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
find the probability that the student isn't in a sports or drama club
Answers
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
Related Questions
HELP ASAP PLEASE
The graph of a linear function passes through the points (7,0) and (-8, 45). A second linear function is
shown on this graph.
What is the distance, in units, between the y-intercepts of the two functionS?
Answers
distance : 15 units
coordinates : (7,0) and (-8, 45)
slope:
[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]
[tex]\sf \rightarrow -3[/tex]
equation:
[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]
[tex]\hookrightarrow \sf y = -3x+21[/tex]
the y-intercept of this function:
[tex]\hookrightarrow \sf y = -3(0)+21[/tex]
[tex]\hookrightarrow \sf y =21[/tex]
distance between both y-intercept :
21 - 615Find the length of the third side if necessary right in the simplest radical form
Answers
Answer:
√89
Step-by-step explanation:
The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...
c² = a² +b²
c² = 5² +8² = 25 +64 = 89
c = √89 . . . . the length of the third side
Answer:[tex]\sqrt{89}[/tex]
Step-by-step explanation:
opposite=8
Adjacent=5
Hypotenuse= ?
Using pythagoras theorem,
[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]
[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]
[tex]Hyp^{2}[/tex]=64 +25
[tex]Hyp^{2} =89[/tex]
Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse
Hyp=[tex]\sqrt{89}[/tex]
I’m stuck, HELP
3(6) + 4(2)^3 - 5
Answers
Answer:
45
Step-by-step explanation:
Lets split the problem then add/subtract at the end
3 x 6 = 18
Due to Order of operations we do 2^3 first then multipy by 4
so 2^3 = 8 Then we do 8 x 4 = 32
Now we add/subtract
18 + 32 - 5 = 45
45 is the answer
Answer:
45
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtration
[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]
Hope this helps!
Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.
Answers
Answer:
(b) is inverse while (a) is not inverse.
Step-by-step explanation:
we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).
Rq I’ll brainlist.
Simplify 4kp x k ???
Answers
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.
Answers
Answer:
64 units squared
Step-by-step explanation:
If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.
A pitcher of water contains 1/4 liters of water. The water is poured equally among 5 glasses. How many liters of water are in each glass
Answers
Answer:
-3.86
Step-by-step explanation:
Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
Answers
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?
A.) 9
B.) 32
C.) 39
D.) 122
Answers
a is the answer because it makes sense and it's very logical
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answers
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
PLEASE HELP THANK YOU
Answers
Answer:
money left= -50•games played + 47.50
A rectangle’s length is 8 feet shorter than four times its width. The rectangle’s perimeter is 134 feet. Find the rectangle’s length and width.
The rectangle’s length is ____ feet, and its width is _____ feet.
Answers
Answer:
length= 52 feet,
width= 15 feet
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the length and the width of the rectangle bs L and W feet respectively.
L= 4W -8 -----(1)
Perimeter of rectangle= 2(length +width)
2(L +W)= 134
Divide both sides by 2:
L +W= 67 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]
Substitute (1) into (2):
4W -8 +W= 67
5W -8= 66
5W= 67 +8
5W= 75
W= 75 ÷5
W= 15
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]
Substitute W= 15 into (1):
L= 4(15) -8
L= 60 -8
L= 52
[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]
Thus, the rectangle's length is 52 feet, and its width is 15 feet.
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answers
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
Learn more about sine to cosine conversion here:
https://brainly.com/question/1421592
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PLS no links. Can someone help me with question 2
Answers
Answer:
Step-by-step explanation:
take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.
Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V
Answers
Cos of 60 = 0.5
Which 0.5 as a fraction is 1/2
Answer:
D
Step-by-step explanation:
You can find the answer by memorizing the values of the unit circle.
If 75% of a number is 255 and 20% of the same number is 68, find 95% of that
number
Answers
Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
[tex]75[/tex]% of x = [tex]255[/tex] [tex]20[/tex]% of x = [tex]68[/tex][tex]95[/tex]% of x = [tex]\boxed{?}[/tex]Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
I need help putting correct answers in the yellow boxes.
Answers
Answer:
-5 ± √5² - 4 · 1 · 4
2 · 1
Step-by-step explanation:
ax²+bx+c=0 (quadratic equation)
x= -b ± √b² - 4ac
2a
a= 1
b= 5
c= 4
-5 ± √5² - 4 · 1 · 4
2 · 1
How many times more is 2 ^ 10 than 2^ 6
Answer choices
8
16
12
Answers
Answer:
16
Step-by-step explanation:
2^10 = 1,024
2^6 = 64
1,024/64 = 16
Hope that helps!
Help pleazeeeeee! I need this as soon as possible
Answers
Find the area of each kite. write your answer as an integer or a simplified radical
Answers
The area of the kite is the amount of space it occupies
The area of the assumed kite is 25 square units
How to determine the area of the kite?The question is incomplete, as the dimensions of the kites are not given.
So, I will provide a general explanation
The area of a kite is:
Area = 0.5pq
Where p and q are the lengths of the diagonals of the kite.
Assume that p = 5 and q = 10, for a kite.
The equation becomes
Area = 0.5 * 5 * 10
Evaluate
Area = 25
Hence, the area of the assumed kite is 25 square units
Read more about areas at:
https://brainly.com/question/24487155
What is m _BEC
OB) 70°
OA) 65°
OD) 120°
OC) 50°
Answers
Answer:
C) 50°
Step-by-step explanation:
[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]
[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]
[tex]\implies m\angle BEC= 50\degree[/tex]
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
Answers
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
To learn more about the speed of light visit:
https://brainly.com/question/104425
Players heights:
72, 75, 78, 72, 73.
What is the range of
heights?
Answers
Answer:
6
Range is calculated by substracting smallest value but highest value.
Please give brainliest.
32 divided by 10-8 divided by 2-3
Answers
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To learn more on Expressions click:
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can you please help me, i really need it.
Answers
The right is answer the left is explanation
Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !
help.....././././////////././.
Answers
Answer:
hello, i am not sure. but the answer is between a and c
Step-by-step explanation:
center and the radius please!
Answers
Answer:
the center is (-2,4) and the raduis is 3
Step-by-step explanation:
For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).
And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.
I hoped this helped, would appreciate if you marked brainliest!
can someone send the answer that on the picture and show your work
Answers
Answer:
k = 52
Step-by-step explanation:
- 8 = [tex]\frac{k-4}{-6}[/tex] ( multiply both sides by - 6 to clear the fraction )
48 = k - 4 ( add 4 to both sides )
52 = k
Answer: k=52
Step-by-step explanation:
-8= k-4/-6
multiply by -6
48=k-4
add 4 to both sides
k=52 :)
1. Which transformation would take point A(5,-4) to A’(5,-4)
Answers
Answer:
that would be A. 360.
Step-by-step explanation:
when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.
original price? The discount is 40% in the sale price is $18
Answers
Answer:
$10.8
Step-by-step explanation:
Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8