a) In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not like
any of two subjects?
(i) How many of them liked at least one subject?
(ii) Find the number of students who liked both the subjects.
(iii) How many of them liked maths?
(iv) How many of them liked science?
(v) Represent the result in a Venn diagram.
PLZ PLZ HELP.........
Answers
Part (i)
We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.
Answer: 55=========================================================
Part (ii)
We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.
We can then say
15+20+x = 55
x+35 = 55
x = 55-35
x = 20
This means 20 people liked both subjects
Answer: 20=========================================================
Part (iii)
There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)
Answer: 35=========================================================
Part (iv)
We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).
Answer: 40=========================================================
Part (v)
We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).
We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.
Note how all of the values in the diagram add up to 60
15+20+20+5 = 60
This helps confirm we have the correct values.
Answer: See the venn diagram below
Related Questions
josh earns $415 a week plus 3% commision on any sales he makes. in a particular week, he gets paid $600. how much did he make in sales?
Answers
Answer:
$185 in commisions
Step-by-step explanation:
600 - 415 = $185
Answer:
6,166.666$ in total sales
Step-by-step explanation:
I. 600$, If 415$ is his earnings then 185 is commision [600 - 415 = 185]
II. Find 3% so 3/100 = 185/x
3x = 18,500
x = 6,166.666
Hope it help :)
can i get some help please
Answers
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
SEE QUESTION IN IMAGE
Answers
Answer:
48Probability of dying on the birthday is:
1/365Probability of not dying on the birthday is:
1 - 1/365 = 364/36549Probability of blue-eyed boy is:
1/2*1/4 = 1/850Total frequencies = 10
Frequency of 7 and greater is 4: 7, 8, 9, 10
Required probability:
4/10 = 2/5An expression is shown below: \sqrt(50)+\sqrt(2) is it irrational or rational
Answers
Answer:
Irrational
Step-by-step explanation:
It's an irrational number since both of them are irrational
I need help with question 4!!!! PLEASE HELP ME!!
Answers
Answer:
4 cm
Step-by-step explanation:
V = πr²h
or, 36π = π(3)²×h
or, 36 = 9h
or, 4 = h
So the height is 4 cm
Answered by GAUTHMATH
I need the answer to this
Answers
Express 4.9 (bar only on 9)in the form of p/q
Answers
Answer:
4/9 is the answer for this question
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 4.999.... ---------(I)
After decimal point only one digit is repeating. So multiply both sides by 10
10x = 49.999.....(II)
subtract (I) from (II)
10x = 49.999...
x = 4.999.... {subtract}
9x = 45
x = 45/9
x = 5/1
A small tree is beginning to lean. The owner decides to set up a tension wire to straighten the tree’s growth. The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high. How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches the tension wire to the top of the tree)?
Answers
Answer:
Step-by-step explanation:
This is a right triangle trig problem. The height of the tree is the height of the triangle, and the length of the wire is the hypotenuse of the triangle. Using Pythagorean's Theorem, we can find the length of the base, which is how far he must secure the bottom of the wire from the base of the tree.
[tex]5^2=4^2+x^2[/tex] and
[tex]25=16+x^2[/tex] and
[tex]9=x^2[/tex] so
x = 3 m
Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?
Answers
Answer:
The father is 40 years old, and his daughter is 10 years old.
Step-by-step explanation:
Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:
F = 4D
F + 5 = 3D
F = 40
D = 10
40 + 5 = 3 x (10 + 5)
45 = 45
Therefore, the father is 40 years old, and his daughter is 10 years old.
pls pls pls help answer quick
Answers
Answer:
120 m
Step-by-step explanation:
To find the volume of the prism on the bottom, multiply length times height times width
3x3x12=108
next is the pyramid on top.
Formula is V=bh x 1/2
8, the height, times 3, the base, = 24
24x 1/2 or 24/2 = 12
108+12= 120
120 m
Find the measures of angles 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.
Answers
oh
Which equation is the inverse of y = 16+ 1?
Choices
Answers
Answer:
d
Step-by-step explanation:
you could see it is x-1 and the the square root of 16 is 4.
Answer:
Answer is the very bottom one
Step-by-step explanation:
hope this helped ^^
3. (a) Determine the sum of the interior angles of the polygon below.
(b) Determine the measure of the angle indicated by the letter, a, in the polygon.
Answers
Answer:
A) 720
B) a=120
Step-by-step explanation:
A) 6 sided polygon interior angle sum is (6-2)*180=720.
B) 90+110+115+160+125+a=720, a=120
How do you make x the subject of the formula?
I need help on this one
y= 7x-1
Answers
Answer:
x=[tex]\frac{y+1}{7}[/tex]
Step-by-step explanation:
Hi there!
We want to make x the subject of the formula, which means to solve the formula for x
Here is the given formula:
y=7x-1
Our ultimate goal is to isolate x onto one side
Start by subtracting 7x from both sides
y-7x=-1
Subtract y from both sides to remove it from the left side
-7x=-y-1
Divide both sides by 7
x=[tex]\frac{-y-1}{-7}[/tex]
Simplify (factor -1 out of the numerator and denominator, then cancel it out)
x=[tex]\frac{-1(y+1)}{(-1)(7)}[/tex]
x=[tex]\frac{y+1}{7}[/tex]
Hope this helps!
Answer:
x = 1/7(y+1)
or
x = 1/7 y + 1/7
Step-by-step explanation:
y= 7x-1
Solve for x
Add 1 to each side
y+1 = 7x-1+1
y+1 = 7x
Divide each side by 7
1/7(y+1) = 7x/7
1/7y + 1/7 =x
The number N is the smallest positive integer with the sum of its digits equal to 2020. What is the first (leftmost) digit of N?
Answers
Answer:
the smallest number is 5 followed by 224 nines
Which graph shows a system with one solution?
Graph A
Graph B
y
Graph
SVy=
315
2
5
y=2x-1
5
-5
5
-5
y
+2y = 4x – 2
O A. Graph A
B. Graph B
O C. Graph C
Answers
Find the difference quotient for f(x) = x2 + 4.
Answers
I am trying to simplify a difference quotient with the form
f(x+h)−f(h)/h
if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative
Here is my work so far:
f(x+h)−f(x)(h)
=f(2/(x+h)2)−f(2/x2)h
=(2/(x+h)2)−(2/x2)h
here I multiply by the LCD
=(2(x2)−2(x+h)2)/(x2(x+h)2)h
Here I expand out the top and cancel out 2x2
=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h
=−(4xh+2h2)/(x2(x+h)2))h
Here I think I should multiply by 1/h to get rid of the h on the bottom
I end up with:
=4xh+2h2hx2(x+h)2
factor out an h
=−4x+2hx2(x+h)2
Which graph represents a linear function
Answers
Answer:
c on edge
Step-by-step explanation:
Robi bought a toy car for $x. He sold it at a loss of 10%. Find the expression
for the selling price.
Answers
Step-by-step explanation:
loss amount'= loss% × C.P
=10/100 × x
=0.1 x
Again,
S.P = C.P - Loss amount
=$x - $0.1 x
=0.9 x
The expression for the selling price is:
0.9x
What is selling price and cost price and its formula?
Cost Price: The price paid for an item is referred to as its cost price (C.P.). The price at which an item is purchased is referred to as its selling price (S.P.).
Profit or Gain: The seller is considered to have profit or gain if SP exceeds CP.
Solution:
Given, loss percent is = 10%
cost price of the toy car is = $x
Therefore the loss amount is: loss% × C.P
= 10/100 × cost price
= 0.1x
Now, for the selling price expression:
selling price (SP) = Cost price ₋ Loss amount
= $x ₋ $0.1x
= 0.9x
Hence we get the desired expression for the selling price as 0.9x.
Learn more about "selling price questions" here-
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Shree travels a distance of 12 km from her house to school by a bus at 20 km/hr and returns home at 16 km/hr.
i Calculate the time required to reach school from home .
ii find out the time required to reach home from school .
iii Determine the average distance of entire journey .
Answers
Answer:
Step-by-step explanation:
1 t= S/V1= 12/20=0.6 hours
2 t =S/V2 = 12/16= 0.75 hours
3 12km
i guess they wanna determine the average V
25) A father is twice as old as his son. The sum oth of the ages is 99 years. Find their ages.
Answers
Answer:
If the son’s age is x, the father’s age is 2x.
If the son’s age is x, the father’s age is 2x.Ten years ago:
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 52
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 52
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 24
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48
If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.
Hope this answer helps you..!!.
.
Select this answer as the BRAINLIESTCan someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answers
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
The amounts (in oz) in cans of soda are given below. The cans are labeled to indicate that the contents are 12 oz of soda. Use a 0.01 significance level to test the claim that the cans are filled so that the median amount is 12 oz. If the median is not 12 oz, are consumers being cheated?
Answers
Answer:
https://brainly.com/question/24258518
Step-by-step explanation:
What is the format of this proof?
Given: AB = BC
Prove: B is the midpoint of AC.
А
B
O two-column proof
O one-paragraph proof
O flowchart proof
two-paragraph proof
AB = BC
given
AB a BC
def. of a segs.
Bis the midpoint of AC
det of midpt
Answers
The solution is, The format of this proof is C. flowchart proof.
What is a flowchart proof?Flowchart Proof. A type of proof that makes use of a graphical illustration. Statements are placed in boxes, and the justification for each statement is written below the box. Arrows imply the logical flow of the statements.
here, we have,
given that,
Given: AB = BC
Prove: B is the midpoint of AC.
now, we have to find that, the format of this proof is what.
now, we know that,
Flowchart proofs are organized with boxes and arrows; every "statement" is inside the field and every "reason" is below every field. each statement in evidence permits every other subsequent statement to be made.
In flowchart proofs, this development is proven through arrows.
Hence, The solution is, The format of this proof is C. flowchart proof.
Learn more about Flowchart Proof here
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Instructions: Find the measure of the indicated angle to the nearest degree.
4
?
16
Answers
Answer:
Sinx=4/16=1/4
x=Sin^-1(1/4)
? =14.47°
OAmalOHopeO
The measure of the unknown angle is approximately 14°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
From, The given diagram, With respect to the reference unknown angle,
the opposite side is 4 units and the hypotenuse is 16 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 4/16.
sinФ = 1/4.
Ф = sin⁻¹(1/4).
Ф = 14°.
learn more about trig ratios here :
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The integer to represent a withdrawal of $25 would be____.
-25
+25
Answers
Answer:
-25
Step-by-step explanation:
Withdrawal means to take out. So you're taking out $25 out of your account, therefore it would be a negative.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer to represent a withdrawal of $25 would be -$25.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount withdrawal = $25
The integer to represent a withdrawal of $25 would be -$25.
Because withdrawal means we are taking the amount out of our account.
Thus,
The integer to represent a withdrawal of $25 would be -$25.
Option A is the correct answer.
Learn more about expressions here:
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What is the measure of
Answers
Answer:
DEF = 105
Step-by-step explanation:
The sum of the angles of a triangle is 180
28+47+DEF = 180
Combine like terms
DEF+75=180
Subtract 75 from each side
DEF +75-75 =180-75
DEF = 105
Answer: D
Step-by-step explanation: The answer is D because firstly we know that all right triangles add up to 180 degrees.
Using this knowledge we know 2 sides out of the 3. Therefore 47+28+x=180. Then we would add the first 2 numbers then minus 180 to get 105 as your last angle.
Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number
Answers
Answer
I don't know the correct answer but I can give you technique. Count the number of guesses above would give you 10, which is our answer to the maximum number of guesses to find a number between 1 and 1000.
G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores
Answers
Answer:
x=
[tex]x = \frac{2}{g - 3} [/tex]
explainion is shown in picture above. Hope this helps
Please hurry I will mark you brainliest
What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4?
Answers
Answer:
p = -2
Step-by-step explanation:
px + 2y + 8 = 0
px + 2y = -8
p(4) = -8
p = -2
