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In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
Learn more about set operations here
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a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh. in that sample 2 oranges weigh 5 ounces. How many oranges in the shipment can the manager predict weigh 5 ounces
The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.
Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.
Now set up a proportion;
2/25 = (x)700
Cross multiplication;
700(2)= 25(x)
1400/25=x
x=56
Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.
More can be learned about proportions at;
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Select the lesser of the two given numbers.
16, 1-19
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism
Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
20% of what number is 30
Answer:
150
Step-by-step explanation:
20 percent of 150 is 30.
To check the answer... 150 times 0.2 is 30.
Answer:
150
20 percent of what number equals 30; Answer: 150.
Step-by-step explanation:
20% of what is 30?
Written using the formula: X = 30 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 30 ÷ 0.2.
X = 150.
So 20% of 150 is 30.
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
PRETTY PLEASE HELP!! ILL GIVE BRAINLIEST! it’s due tonight :(
Answer:
a = 8 m
Step-by-step explanation:
Since, given is an isosceles right triangle.
So, by Pythagoras theorem:
[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]
When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
Find a linear equation to solve for the following unknown quantities: One number is three more than twice another number. If the sum of the two numbers is 36, what are the numbers?
Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.
Can someone please help me?
Answer:
86.
Step-by-step explanation:
nth term = a1 + d(n - 1) so here we have:
12the term = -2 + 8( 12 - 1)
= -2 + 88
= 86.
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
The best fruit punch requires 2/5 cup of juice concrete to 3/7 cups of water. To maintain the same taste, how many cups of water should be used for every cup of juice concentrate?
a. 6/35
b. 14/15
c. 29/35
d. 15/14
Answer:
D) 15/14
Step-by-step explanation:
Divide 3/7 by 2/5
I need help please help
Answer:
137
Step-by-step explanation:
In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
Answer:
1/8
Step-by-step explanation:
AB,AA,BB,BB,BB,BB,BB,BB,
*A IS THE students that forgot thier lunch
- >
2X 14
2x 6 x 6 > 14
14 - 6
-2
- 2x o 7 8
X - 4
0 4)
3(244) + 1) 2 (2y 3) 8
Answer:
no te entiendo, puedes escribir la pregunta completa
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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hope it helps
Select the correct answer from each drop-down menu.
If the radius of a circle is 3.5 Inches, Its diameter is
Inches and its approximate area is
square Inches.
Answer:
Diameter = 7 inches
Area = 38.48 in²
Step-by-step explanation:
Diameter = 3.5 x 2 = 7 inches
Area = 3.5² x π = 38.48 in²
A set of four postcards costs $1.00. Single postcards cost $0.50. What is the least amount of money you
can spend to buy exactly 15 postcards?
Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.
Step-by-step explanation:
You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.
You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards
1. If you earn $15 an hour and you work 35 hours a week, how much do you earn in 4 weeks?
Answer:
$2100
Step-by-step expla35 x 4 = 140 140 x 15 = 2100
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100
2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3
Answer:
Volume of cube = 125 cm³
Step-by-step explanation:
Given:
Side of cube = 5 cm
Find:
Volume of cube
Computation:
Volume of cube = side³
Volume of cube = 5³
Volume of cube = 125 cm³
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
My friend didn’t do this and he got another question ASAP
Answer: B.) I and II
Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:
can you share 1 one with 6 groups
Answer:
it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
determine the following
Answer:
function
Step-by-step explanation:
y = 6x^2 +x+7
This is an upward facing parabola
This relation will pass the vertical line test.
This relation is a function