Answers
Answer:
1. n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}
2. n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}
3. D. I, II and III.
Step-by-step explanation:
U = {21, 22, 23, ..., 64}
A prime number is a number that can be divided only by 1 and itself.
A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}
B = {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}
C = {6, 10, 12, 15, 20, 30, 60}
1. Find n[(A U B) - C]
n(A U B) = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63}
n[(A U B) - C] = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63} - {6, 10, 12, 15, 20, 30, 60}
Since only 30 and 60 are common to n(A U B) and C, we therefore remove them it and have:
n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}
2. Find n[(A - B) U C]
To get n(A - B) we remove all the elements of B in A. Since there are no common elements between A and B, we therefore have:
A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}
C = {6, 10, 12, 15, 20, 30, 60}
Therefore, we have:
n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}
3. Which of the following is/are true?
I. A ∩ B = A ∩ C
A ∩ B = ∅
A ∩ C = ∅
Therefore, A ∩ B = A ∩ C is true.
II. A - B = A - C
A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}
A - C = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}
Therefore, A - B = A - C is true.
III. A ∩ (B ∪ C) = ∅
A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}
B U C = {6, 10, 12, 15, 20, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}
Therefore, A ∩ (B ∪ C) = ∅ is true.
Therefore, the correct option is D i.e. I, II and III are true.
Related Questions
What is the solution to 34x + 95 = 3(14x + 9)?
Answers
Answer:
Step-by-step explanation:
Can somebody help me?
Answers
Answer:
35/98
Step-by-step explanation:
Section B question 1
Answers
Answer:
24
Step-by-step explanation:
Answer:there would be 24 ways
Step-by-step explanation:
For your question hopefully it helps
2. What is the width of this ornament if the volume is 2,226.09 cm^3?
A. 16.2 cm
B. 10.5 cm
C. 20.10 cm
D. 8.1 cm
Answers
Answer:
A. 16.2 cm
Step-by-step explanation:
I took the test
The width of ornament is 16.2 cm.
What is Volume of sphere?The formula for the volume of a sphere is V = 4/3 πr³.
As, the ornament is in shape of sphere.
Volume of sphere= 4/3 * π * r³
2226.09 = 4/3* 3.14 * r³
r³= 2226.09 * 3 / 4*3.14
r³= 6,678.27 / 12.56
r³ = 531.7093949044586
r= 8.101
Hence, width = 2* 8.101= 16.2 cm
Learn more about volume of sphere here:
https://brainly.com/question/9994313
#SPJ2
What is it then??? IDK WHAT I DID WRONG
Answers
Answer:
P= 300000/60
= 5000watt
single letter means watt
Can you please help me with this question please and i will give you a Brainiest
Answers
Answer:
They all end in 0 or 5
Step-by-step explanation:
Answer:
They all end in 0 or 5.
Step-by-step explanation:
15, 20, 25, and 30 all end in either 0 or 5.
A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975.
Answers
Answer:
(a) 0.15866
(b) Clustered, with two peaks
(c) Point estimate is 6.3 inches
Margin of error is 0.7 inches
(d) Yes
(e) Stratified sampling method
Step-by-step explanation:
(a) The given information are as follows
Mean diameter of Aspen trees, μ = 8 inches
Standard deviation, σ = 2.5 inches
[tex]z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1[/tex]
Therefore;
p(x < 5.5) = p(z < -1)
From the z score table, we have p = 0.15866
Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches
(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3
The margin of error = (7.0 - 5.6)/2 = 0.7 inches
(d) Yes, because the 8 inches is outside the range
(e) Stratified sampling method
Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.
Uma pessoa com audição normal pode ouvir sons de frequências entre 20 Hz e 20000 Hz. As frequências das ondas de rádio ficam entre 3000 Hz a 300 GHz. (1 GHz = 1000000000 Hz). Se 10000 Hz, por exemplo, é uma frequência audível, por que as pessoas não ouvem as ondas de rádio que estão viajando no espaço que rodeia?
Answers
Answer:
........,..................y.....bhjkkbub
Find the volume of the prism.
10 points
3 in.
11 in.
18 in
Answers
Answer: 594 in^3
Step-by-step explanation:
3*11*18=594 in^3
This is the rectangular prism formula.
Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.
Answers
Answer:
There are exactly 2 π radians in a full circle.
There are approximately 6.28 radians in a full circle.
2π radians is equivalent to 360 degrees.
Answer:
1 4 4
Step-by-step explanation:
Ms. Lang lives in Lansing, Michigan. Last year, she made 4 round trips to Chicago, Illinois (a distance of 218 miles each way) and 6 round trips to Louisville, Kentucky (a distance of 364 miles each way). How many more miles did she travel in her trips to Louisville than in her trips to Chicago?
Answers
Answer:
1312 miles
Step-by-step explanation:
To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.
She made 4 round trips to Chicago, Illinois. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:
4 * 218 = 872 miles
She made 6 round trips to Louisville, Kentucky/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:
6 * 364 = 2184 miles
Therefore, the difference between the distances she traveled is:
2184 - 872 = 1312 miles
She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.
Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a) How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?
Answers
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Liam is a tire fitter.
It takes him 124 minutes to fit 4 tires to a truck.
The number of minute for the loading of one tire will be
⇒ 124 / 4
⇒ 31 minutes per tire
a) Then the number of the minutes for loading 6 tires to a truck will be
⇒ 31 × 6
⇒ 186 minutes
b) If he works for 93 minutes. Then the number of tires can he fit will be
⇒ 93 / 31
⇒ 3 tires
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
My sister baked me a cake. We bought a litre of milk and went to town - we almost ate the whole cake! In the end my sister and I ate 5/7 of the cake. If the remainder of the cake was divided among three other friends (not including me and my sister) how much would each friend receive?
Answers
Answer:
2/21
Step-by-step explanation:
2/7 ÷3
sorry if wrong
2/7 * 1/3
2/21
Answer:
2/21 per friend
Step-by-step explanation:
A whole cake is 1 or as a fraction 7/7
5/7 of the cake was eaten
7/7 - 5/7 = 2/7
This was divided by 3 friends
2/7 ÷3
Copy dot flip
2/7 * 1/3
2/21
Find the value of p if Cos 49 = Sin(p+10)
Answers
Answer:Do you mean find p? If so then p+10 = 90 - 49, so p = 31°. Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129° (The 41 comes from the first p+10, i.e. 31+10 = 41),
Check:
Step-by-step explanation:
What is the answer to angle A? And do you mind to explain how
Answers
Answer:
45 degrees
Step-by-step explanation:
The sum of the angles of a triangle always adds up to 180.
10x + 8x + 5 + 85 = 180
Simplify by combining like terms.
18x + 90 = 180
Subtract 90 from both sides.
18x = 90
Divide both sides by 18.
x = 5 degrees
But the question didn't ask for x, it asked for angle A. So plug back in.
A = 8x + 5
A = 8(5) + 5
A = 40 + 5 = 45 degrees
Answer:
[tex]45 \: \: degrees[/tex]
Step-by-step explanation:
[tex]10x + 8x + 5 + 85 = 180 \\ 18x + 90 = 180 \\ 18x = 180 - 90 \\ 18x = 90 \\ \frac{18x}{18} = \frac{90}{18} \\ x = 5[/tex]
[tex]angle \: \: \: a = 8x + 5 \\ = 8 \times 5 + 5 \\ = 40 + 5 \\ = 45 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Someone please help me
Answers
Answer:
The slope is 2.2
Step-by-step explanation:
Since the point goes through (0,0) the slope is given by
m =y/x
4.4 / 2
2.2
QUICK HELP PLS!
A large city has 6 libraries.
Each library has at least 1 computer.
The median number of computers is 12.
The difference between the maximum number of computers and the minimum number of computers is 35.
Which statement are true about the number of computers in these libraries?
Select each correct answer.
A
There must be 3 libraries with 12 computers.
B
A library could have less than 12 computers.
C
A library could have more than 50 computers.
D
All libraries must have less than 35 computers.
E
At least 1 library does bot have 12 computers.
Answers
Answer:
A C E
Step-by-step explanation:
Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answers
Answer:
4.375 miles
Step-by-step explanation:
7/8/12=x/60
12x=60(7/8)
12x=52.5
x=4.375
you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill
Answers
Answer:
$3.78
Step-by-step explanation:
find 107%(100%=$54+7%=107%)
54*107/100= $57.78
find the amount of sale tax
57.78-54=$3.78
what is 100,00 times 1/100,000, using the standard method of multiplication?
Answers
Answer:
0.1
Step-by-step explanation:
10,000 * (1/100,000) = 0.1
Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?
Answers
What is the numbers of π
Answers
Answer:
3.141592653589793238462643383279502884197169399375105820974944592307816406286
Step-by-step explanation:
what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green
Answers
Answer:xxxxxxxxx
ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Step-by-step explanation:
Write the ratio in lowest terms:
7-1/2 inches to 3-1/3 inches
Answers
Answer:
9:4
Step-by-step explanation:
I believe you meant:
7 1/2 in
-------------
3 1/3 in
Rewriting both mixed numbers as improper fractions, we get:
15
------
2
==========
10
-------
3
Remember: to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:
15 3 (3)(3)
------- * ------ = --------- = 9/4 or 9:4 (this is a ratio expressed in lowest terms)
2 10 (2)(2)
help pls step by step
this is the problem you had to find the SIMPLIFYING EXPRESSIONS
this is the problem 7x - 2(x + 5) =
20 points!!!
Answers
Answer:
5x - 10
Step-by-step explanation:
7x - 2(x + 5)
= 7x - 2x -10
Please mark me brainliest if my answer is correct! Thanks!
= 5x - 10
How to find area of the base for a cube
Answers
Answer: length*width
Step-by-step explanation:
The base of a cube is a square. As long as you can find the area of a square, you can find the base of a cube. A=Area. A=length*width or A=lw. This works the same for rectangular prisms, but with rectangles AND squares.
Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.
Answers
Answer:
W(x) = $50 + ($14/hr)x
Step-by-step explanation:
hope this helped
helpp pt.4 plzzzzzz
Answers
Answer:a and c
Step-by-step explanation:
what is the surface area for this cylinder
Answers
Answer:
≈ 3 619 in²Step-by-step explanation:
Surface area = 2×(base’s area) + lateral area
= 2×(base’s area) + (Perimeter of the base)×height
= 2×(π×12^2)+((2×π×12)×36)
=3 619,11473693544
Fly with Us owns a D.C.10 airplane that has seats for 240 people. The company flies this airplane only if
there are at least 100 people on the plane. Write a compound inequality to show the possible number of
people in a flight on a D.C.10 with Fly with Us. Let n represent the possible number of people in the flight.
Answers
Answer:
562
Step-by-step explanation:
if 240 equals 100