Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, [tex]$n(A \cap B) = 135$[/tex]
a). So, [tex]$n(A \cup B) = n(A) +n(B) - n(A \cap B)$[/tex]
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
[tex]$=\frac{176+108}{500}$[/tex]
= 0.568
c). Neither economics nor mathematics
[tex]$=\frac{500-419}{500} $[/tex]
[tex]$=\frac{81}{500}$[/tex]
= 0.162
please help me I will give a brainlist
Answer:
I think this is helpful .
w + what - s = w
help plz help helppp i want help
Answer: S
Step-by-step explanation:
w + ? - s = w
w + s - s = w
w = w
I NEED HELP ASAP PLS HELP!
You: 3, 6, 9, 12
Friend: 4, 8, 12, 16
Your friend sells 16 tickets.
Answer:
you is 5 and friend is 12 and 16 your friend sells 16 tickets
Step-by-step explanation:
What is the value of x?
Answer:
The value of x=12
Step-by-step explanation:
because the whole thing is 90 and the other angles are equal to 78 if you add them together. So you would subtract 90-78 which equals 12.
o
Which statement is not true?
1. ET is perpendicular to plane BAD.
2. ET is perpendicular to plane FAB.
3. ET is perpendicular to plane CAD.
4. ET is perpendicular to plane BAT.
Answer:
4.) ET is perpendicular to plane BAT
Step-by-step explanation:
What's the perimeter of rectangle DEFG, shown?
O A) 28
B) 34
C) 40
OD) 17
What is the approximate area of the shaded sector ?
Answer:
7.5 cm²
Step-by-step explanation:
Area of shaded sector = θ/360 × πr²
Where,
θ = 180° - 84° = 96°
r = ½(6) = 3 cm
Area of shaded sector = 96/360 × π × 3²
Area = 7.53982238 ≈ 7.5 cm²
Find the slope of the line.
Answer:
3/3 or 1
Step-by-step explanation:
Remember the slope of the line is y/x
You can either count the distance going from point 1 to point 2 or
subtract (4-1)/(4-1)= 3/3
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
Which sequence is modeled by the graph below? (6 points)
Answer:
Step-by-step explanation:
Find the circumference of the circle to the nearest tenth.
C
6 cm
I assume the radius is 6 cm.
Diameter = 2 times the radius.
D = 12 cm.
We now use C = pi•D.
C = pi•12cm
C = 12pi cm
Done!
Please help me with my math
Answer:
47.5 yd²
Step-by-step explanation:
Area = 1/2 ( base x height )
Area = 1/2 ( 19 x 5 )
Area = 1/2 ( 95 )
Area = 47.5 yd²
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
This is relative frequency tables. Can someone help ?
Answer:
87 is the answer
Hope it helps!!!
Step-by-step explanation:
In which choice do all three points lie on the same straight line?
A. (0, 1), (-1, 3), (1, 3)
B. (4, 2), (2, 1), (4, -2)
C. (0, 0), (8, 0), (0, 8)
D. (1, 2), (2, 4), (4, 8)
What is the length of side 'y'?
Answer:
B
Step-by-step explanation:
What are the solution(s) to the quadratic equation 40 - x2 = 0?
O x = +2/10
O x = +4/10
O x = +2/5
x = +4V5
Answer:
±2sqrt(10)
Step-by-step explanation:
40 - x^2 = 0
Add x^2 to each side
40 -x^2 + x^2 = x^2
40 =x^2
Take the square root of each side
±sqrt(40) =sqrt(x^2)
±sqrt(4)sqrt(10) =x
±2sqrt(10) =x
Find the volume of the solid generated by revolving the shaded region about the given axis.
About the y-axis
Choices:
21π
49π
(21/2)π
42π
Answer:
nice man! its good
Answer with steps please i have 1 mark on this with steps
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answer:
56cm²
Explanation:
the amount of material he needs would be the total surface area of the box. surface area can be calculated by finding the sum of surface area of all the sides of the box. since the opposite sides are equal, we can find the surface area of 3 different sides and then multiply it by 2.
(4 + 4) + (4 + 6) + (6 + 4) × 2
= 8 + 10 + 10 × 2
= 28 × 2
= 56cm²
i hope this helps! :D
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
Please help me! This is due tomorrow and I really need some help! Thank you.
Answer:
A
Step-by-step explanation:
3.5 x 1 x 1.4 = 4.9
Answer:
A. 4.9ft³
Step-by-step explanation:
V= LxWXH
V= 3.5x1.4x1= 4.9
V= 4.9ft³
6) On Saturday afternoon tickets
for a popular band were put on sale
on the internet. There are 900
tickets and every hour about 75
tickets are sold. How long will it
take for there to be only 150 tickets
left?
Answer:
It will take 10 hours
Step-by-step explanation:
first you subtract 150 from 900 (900-150) to get 750. next you divide 750 by 75 since that is the rate the tickets are being sold (750÷75) which would equal to 10.
evaluate 13+(43÷2)×5−17 .
Answer:
103.5
Step-by-step explanation:
13 + (43 ÷ 2) × 5 - 17
13 + 21.5 × 5 - 17
13 + 107.5 - 17
107.5 - 4
103.5
lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to
have four different colors.
If order does not matter, in how many ways can she pick four colors if green must be one of them?
4
6
10
15
O
Answer:
6 is correct
So Iliana has 6 ways to pick for colors, if green is not one of them. :)
"Fifty-seven more than two times j"
Answer:
2j+57
Step-by-step explanation:
Two times a umber j is expressed as 2j
if Fifty-seven is more than two times j", this means we will have to add 57 to 2j as shown;
f(j) = 2j + 57
Hence the statement written as a function is expressed as 2j+57
what is 150 divided by 625 step by step
Answer:
150 dived by 625 is 0.24 I'm not sure how to explain it
explain C = 15 + 0.6Yd
Will give brainlst
Have a nice day
Answer:
7/2
Step-by-step explanation:
[tex]12x=4(x+2)+20\implies\\12x=4x+8+20\implies\\12x=4x+28\implies\\8x=28\implies\\x=28/8=7/2[/tex]
[tex]y=8x+12[/tex]
Answer:
14/4 , y = 8x + 12
Step-by-step explanation:
12x = 4x + 28
x= 14/4
.
y = ax+b
a is the slope
b is the y intercept
the co-terminal angle of -120°
Answer:
-480°, 240° (among others)
Step-by-step explanation:
± 360