Let U={1,2,3,4,5,6,7,8}A={2,3,6}B={2,4,5,7}C={1,7,8}Find the following use the roster method to write method to write the set. Enter empty or 0 for the empty set.AUB
Answers
A U B = set of all elements that are in both A or B:
A U B = {2, 3, 4, 5, 6, 7}
Here is a picture to see our answer.
Related Questions
PLEASE ANSWER! WILL GIVE BRAINLIEST!
ardith has 3/71 x 10^7 bytes of space remaining on a flash drive. she needs to copy some files each of which is about 8.2 x 10^4 bytes in size, onto the flash drive. about how many files can ardith copy onto the flash drive?
Answers
Answer:
5
Step-by-step explanation:
Given that:
Space left on flash drive = 3/71 * 10^7 bytes = 0.0422535 * 10^7 = 422535.21 bytes
Size of each file = 8.2 * 10^4 bytes = 82000 bytes
Number of files that can be copied :
(422535.21) / (82000)
= 5.1528684
Number of files that can be copied = 5 files
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answers
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
PLS MARK ME AS BRAINLIEST
Please help. Any unnecessary answers will be reported.
You are in a competition that involves building card towers. The quickest person to reach 100 stories wins the competition. After reaching 5 stories of cards as shown in the picture below, you needed to use 40 cards.
How many cards will be necessary to build , in a similar way, a tower with 100 stories? Make sure you include work.
Answers
The 10,100 cards will be necessary to build a 100-story card tower.
To build a 100-story card tower, we can use the triangular number formula to calculate the total number of cards needed. The formula is:
Triangular number = (n * (n + 1)) / 2
In this case, n represents the number of stories in the tower (100). Plug in the value for n:
Triangular number = (100 * (100 + 1)) / 2
Triangular number = (100 * 101) / 2
Triangular number = 10,100 / 2
Triangular number = 5,050
Additionally, each story requires two cards, so we multiply the triangular number by 2 to get the total number of cards:
Total cards = 5,050 * 2
Total cards = 10,100
To learn more about : cards
https://brainly.com/question/28714039
#SPJ11
look at the image below urgent !!!!!!
Answers
Answer:
135.7 yd²
Step-by-step explanation:
Surface area of a cone: πr²+πrl, where r = radius and l = slant height
πr²+πrl
= π×3²+π×3×11.4
= 216π/5
= 135.7 yd² (rounded to the nearest tenth)
can you help me with that
Answers
Answer: 55% or 11/20
Step-by-step explanation:
For f (x) = (x – 4)?, evaluate f (3)
Answers
Answer:
-1
Step-by-step explanation:
f(3) = (3-4) = -1
which expression is equivalent to 12 + 24 p. A 2(6+24p) B 3(9+21p) C 4(3×6p) D 6 (2+3p)
please help
Answers
Answer:
C
Step-by-step explanation:
A. 2*6 = 12 but 24p*2 doesn't equal 24p
B. 3*9 doesn't equal 12, and 3*21p doesn't equal 24p
C. 4*3 equals 12 and4*6p=24p
D. 6*2=12, but 6*3p doesn't equal 24p
I hope this helps!!!
Use the circle shown below to determine the following:
What is the measure of the central angle?
central angle = ______ degrees
Solve an equation for x.
x = ________
What is the measure of the angle that bisects the minor arc?
bisecting angle = ________ degrees
Determine the measure of the major arc.
Major arc = _______ degrees
(45 points will give brainiest for efort)
Answers
1.The measure of the central angle is 90°.
2.Equation of x=12.
3.The measure of the angle that bisects the minor arc is 45°.
4.The measure of the major arc is 270°.
How to deal with arcs?The circle in the example illustration has a radius of 10 units and a centre of O. AOB is a central angle that the minor arc AB intercepts.
The fact that the measure of a central angle is equal to the measure of its intercepted arc can be used to determine the measure of the central angle. So, we must determine the minor arc's measure, AB. The circle's diameter is 2r = 20 units because its radius is 10 units. The minor arc AB is one-fourth of the circle's circumference, or (1/4) * 20 = 5 units. As a result, the minor arc's measure is 5 radians.
Radians to degrees conversion
5π * (180/π) = 90° degrees
Therefore, the measure of the central angle AOB is 90° degrees.
To find Equation of x,
8x=96°
x=96°/8
x=12
Hence, Equation of x will be 12.
The angle that bisects the minor arc AB is half the measure of the central angle AOB. So, the measure of the bisecting angle is:
(1/2) * 90° = 45°
The major arc ACB is the difference between the circumference of the circle and the minor arc AB. So, the measure of the major arc ACB is:
2πr - 5π = 15π
for major arc,
We must multiply by (180/) degrees/radian in order to convert the measure from radians to degrees. The main arc ACB's degree measurement is as follows:
15π * (180/π) = 270°
Therefore, the measure of the major arc ACB is 270°.
To learn more about, minor arc click here:
brainly.com/question/2610544
#SPJ1
(9x+5) - (4x+ 3)=? Qrite it out step by step
Answers
Answer: 13x+8
Step-by-step explanation: You add all of the like terms. so 9x+4x. You get 13x. Then you should do 5+3 which is 8. You’re left with 13x+8, and you can’t combine them so that’s your simplified equation.
Step-by-step explanation:
1Remove parentheses.
9x+5-4x-3
2 Collect like terms.
(9x-4x)+(5-3)
3 Simplify.
5x+2
(Sorry if its wrong, but I hope I helped ^-^)
Tariq has earned $54 for cutting the grass of three houses.
Part A: If he continues to earn money at this rate, how much will he make after cutting all 11 lawns on his street?
Part B: How many lawns would he need to cut if he wanted to earn enough money to buy an Xbox One that costs $324?
Answers
Answer:
Part A: $198
Part B: 18 lawns
Step-by-step explanation:
Part A:
Find out how much he earns for cutting the grass of one house.
3 houses = 54
1 house = 54 ÷ 3 = 18
11 houses = 18 x 11 = 198
(Final answer)
Part B:
Since you know how much you earn for cutting the grass of one house, take the amount of money needed divided by how much you earn for cutting grass per house.
324 ÷ 18 = 18
(Final answer)
why is this equavilant
Answers
Answer:
Distribution property
Step-by-step explanation:
What fraction is less than 5/8
Answers
Answer:
1/2 is 1 example
Step-by-step explanation:
what
A fraction that is less than 5/8 is 4/8
How to determine the fraction?The fraction is given as:
Fraction = 5/8
A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8
Take for instance, the numerator can be
1 to 4
So, we have;
Smaller fraction = 4/8
Hence, a fraction that is less than 5/8 is 4/8
Read more about fractions at
https://brainly.com/question/1622425
#SPJ1
Simplify (Cot t) (Sin t)/(Cos t)
Answers
Answer:
1
Step-by-step explanation:
(Cot t) (Sin t)/(Cos t)
cot = cos / sin
Replacing cot t with cos t / sin t
cos t/ sin t * (Sin t)/(Cos t)
Canceling the sin t's
cos t / cos t
1
The prior probabilities for events
A1, A2, and A3
are
P(A1) = 0.20,
P(A2) = 0.30,
and
P(A3) = 0.50.
The conditional probabilities of event B given
A1,
A2,
and
A3
are
P(B | A1) = 0.50,
P(B | A2) = 0.30,
and
P(B | A3) = 0.40.
(Assume that
A1, A2, and A3
are mutually exclusive events whose union is the entire sample space.)
(a)
Compute
P(B ∩ A1), P(B ∩ A2), and P(B ∩ A3).
P(B ∩ A1)
=
P(B ∩ A2)
=
P(B ∩ A3)
=
(b)
Apply Bayes' theorem,
P(Ai | B) = P(Ai)P(B | Ai)
P(A1)P(B | A1) + P(A2)P(B | A2) + + P(An)P(B | An),
to compute the posterior probability
P(A2 | B).
(Round your answer to two decimal places.)
(c)
Use the tabular approach to applying Bayes' theorem to compute
P(A1 | B),
P(A2 | B),
and
P(A3 | B).
(Round your answers to two decimal places.)
Events P(Ai)
P(B | Ai)
P(Ai ∩ B)
P(Ai | B)
A1
0.20 0.50 A2
0.30 0.30 A3
0.50 0.40 1.00 1.00
Answers
(a) Through the conditional probability formula:\(P(B ∩ A) = P(B | A) P(A),\)
\(P(B / A1) P(A1) = 0.50 x 0.20 = 0.10A2 = 0.30 x 0.30 = 0.09A3= 0.40 x 0.50 = 0.20\)
(b)Bayes' theorem gives
\(P(A2 | B) = p(B | A2) p(A2) / [p(B | A1) P(A1) + p(B | A2) P(A2) + p(B | A3) p(A3)]= 0.26Thus, P(A2 | B) = 0.26.\)
(c)the tabular approach can show us
Events P(Ai) P(B | Ai) P(Ai ∩ B) P(Ai | B)
A1 0.2 0.5 0.1 0.167
A2 0.3 0.3 0.09 0.307
A3 0.5 0.4 0.2 0.526
Therefore,\(P(A1 | B) = 0.167, p(A2 | B) = 0.307, p(A3 | B) = 0.526.\)
To know more about probabilities
brainly.com/question/30034780
#SPJ4
Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for the mean using sigma notation and calculate the mean water bill for the year. Extend Your Understanding
Answers
Answer:
Σ( xi ) / n ; $29
Step-by-step explanation:
Given the following data:
X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26
Number of observations (n) = 12
Mean formula (m) = ( Σ xi ) / n
Where i = each individual value in X
Mean water bill for the years is thus :
m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12
m = 348 / 12
m = 29
Hence, the mean water bill for the year is $29
Which ordered pairs represent points on the graph of this equation? Select all that apply. y = 2x - 3 a)3-3 b) 0,-3 c) 5,7 d) -2,-7 e) 2,1 or f) 4,5
Answers
The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).
What is equation?An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.
What is graph?A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.
According to the given information:
To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.
a) (3,-3):
y = 2x - 3
-3 = 2(3) - 3
-3 = 3
This is not true, so (3,-3) is not on the graph.
b) (0,-3):
y = 2x - 3
-3 = 2(0) - 3
-3 = -3
This is true, so (0,-3) is on the graph.
c) (5,7):
y = 2x - 3
7 = 2(5) - 3
7 = 7
This is true, so (5,7) is on the graph.
d) (-2,-7):
y = 2x - 3
-7 = 2(-2) - 3
-7 = -7
This is true, so (-2,-7) is on the graph.
e) (2,1):
y = 2x - 3
1 = 2(2) - 3
1 = 1
This is true, so (2,1) is on the graph.
f) (4,5):
y = 2x - 3
5 = 2(4) - 3
5 = 5
This is true, so (4,5) is on the graph.
Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).
To know more about Graph, ordered pairs visit:
https://brainly.com/question/31060345
#SPJ1
At 1:00 P.M., oil begins leaking from a tank at a rate of (6 0.77t) gallons per hour. (Round your answers to three decimal places.) (a) How much oil is lost from 1:00 P.M. to 4:00 P.M.
Answers
Answer:
\(Amount = 8.31\)
Step-by-step explanation:
Given
\(Rate = 6 + 0.77t\)
Required
Determine the gallons of oil lost between 1pm to 4pm
\(Rate = 6 + 0.77t\)
Where t represents number of hours
First, we need to calculate the duration between 1pm and 4m.
\(t = 4pm - 1pm\)
\(t = 3\ hours\)
Substitute 3 for t in \(Rate = 6 + 0.77t\)
\(Amount = 6 + 0.77 * 3\)
\(Amount = 6 + 2.31\)
\(Amount = 8.31\)
Hence, 8.31 gallons of oil has been lost
The price of a phone is decreased by 19% and now is $319.14. Find the original price
Answers
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
What is the constant of variation of c=2.15g
Thx to all that help
Answers
Answer:
Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is 2.15
Find the measure of 3x-46+14=90
Answers
Answer:
Step-by-step explanation:
3x = 90 + 46 - 14
3x = 122
x=\(\frac{122}{3}\)≈40,7
Answer: 40.6 repeated
Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated
Solve cos^2 (B) + 3cos(B) + 2 = 0 for
B, 0 < B < 360
Please help
Answers
Step-by-step explanation:
\( \cos {}^{2} (b) + 3 \cos(b) + 2 = 0\)
\(( \cos(b) + 2)( \cos(b) + 1) = 0\)
\( \cos(b) = - 2\)
Cosine have a range of [-1,1] so b is undefined for the first factor
\( \cos(b) = - 1\)
\(b = 180\)
Write the product in standard form.
(2.3 x 10^2). (1.5 x 10^3)
Please help
Answers
Find the remainder when you divide 28282828282838·28282828282839 by 28.
Answers
Answer:
1.010101e+12
Step-by-step explanation:
28282828282838.28282828282839 / 28
Answer:
The answer to the question is 26.
I NEED HELP WITH STATISTICS
Answers
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
Find more exercises on Type II error;
https://brainly.com/question/29689920
#SPJ1
simplify or solve the problem
2 ( 2x - 7 ) = - 34
Answers
Answer:
x = -5
Step-by-step explanation:
Original equation:
2(2x - 7) = -34
Use distributive property
2 · 2x = 4x
2 · (-7) = -14
Plug these values back into the equation
4x - 14 = -34
Add 14 to both sides
4x = -20
Divide both sides by 4
x = -5
Hope this helps :)
Please consider Brainliest :)
Use a graphic calculator to determine the intervals on which (x)=2x^3-3x-1 is increasing or decreasing.
Please help me I don't understand this at all because when I graph it I get 8.5 but the real answer is 0.7
Answers
Answer:
im not sure of the answer but hopefully this will help
Step-by-step explanation:
basically the intervals in which its increasing and decreasing depend on the leading coefficient and the vertex
since this is opening up, the intervals will be
the function is increasing (x coord of vertex, infinity)
the function is decreasing (-infinity, x-coord of vertex)
What is the domain of f(x)=(1/4)^x?
A. y > 0
B. x < 0
C. x > 0
D. All real numbers
Answers
\( \huge \bf༆ Answer ༄\)
The domain of given function is All real numbers
\( \sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x} \)
For each value of x the function is defined.
Example -
For x = 1The value is \( \sf\frac{1}{4}\)
For x = -1The value is 4
\(꧁ \: \large \frak{Eternal \: Being } \: ꧂\)
I need help
PleaseEEEE
Answers
Answer:
False
Integers are whole numbers, therefore they are not irrational, True
False
False
Hope this helps!
Answer:
Answer attached
Step-by-step explanation:
1. False, all whole numbers are integers.
2. All integers are rational numbers.
3. False, all whole numbers are rational number.
4. False, not all integers are whole numbers.
The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator
Answers
Answer:
$464Step-by-step explanation:
Let the cos be x, then selling price is:
x + 5% = x*1.05 = 1.05xWe have the selling price $487.20
1.05x = 487.20x = 487.20/1.05x = 464Cost price is $464
Find dx/dy when y =(3x−1)(2x+5)
Answers
Answer:
y = 6x²+15x-2x-5
dy/dx = 6*2(x) ²-¹ +15*1(x)¹-¹ -5*1¹-⁰
dy/dx = 12x + 15