Answer:
\(\sf (A' \cap B) \cup (A' \cap C') =\{1,6,7\}\)
Step-by-step explanation:
\(\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}\)
Given sets:
Universal = {1, 2, 3, 4, 5, 6, 7, 8}A = {2, 4, 5, 8}B = {1, 4, 6}C = {1, 2, 3, 4, 5}Therefore, the complement sets are:
\(\begin{aligned}\sf A' & = \text{U}-\sf A\\& = \{1,2,3,4,5,6,7,8 \}- \{2,4,5,8 \}\\& = \{1,3,6,7 \}\end{aligned}\)
\(\begin{aligned}\sf B' & = \text{U}-\sf B\\& = \{1,2,3,4,5,6,7,8 \}- \{1,4,6 \}\\& = \{2,3,5,7,8 \}\end{aligned}\)
\(\begin{aligned}\sf C' & = \text{U}-\sf C\\& = \{1,2,3,4,5,6,7,8 \}- \{1,2,3,4,5 \}\\& = \{6,7,8 \}\end{aligned}\)
Solution
\(\begin{aligned}\sf (A' \cap B) \cup (A' \cap C') & = \sf \left(\{1,3,6,7 \} \cap \{1,4,6\} \right) \cup \left(\{1,3,6,7 \} \cap \{6, 7, 8 \} \right)\\\\& = \sf \{1,6\} \cup \{6,7 \} \\\\& = \sf \{1,6,7\} \end{aligned}\)
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sun is divisible by 3.
Round your answers to two decimal places.
I need the answers fast
Answer:
A=11.1%
B=33.33%
Step-by-step explanation:
A.First Die Second die
6 5
5 6
6 4
4 6
4/36=1/9=.11=11.1 %
12/36=0.3333=33.333 percent
Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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Stock prices: Following are the closing prices for a certain stock during June and July of a certain year.
June 482.37 493.37 498.72 485.52 484.78 474.02 487.01 488.50 483.19 497.99 488.56 486.25 482.05 472.68 472.08
July 456.56 467.49 475.83 489.20 491.34 494.02 459.61 466.18 481.59 477.50 484.81 490.06 488.97 492.63 484.35
(a) Find the population standard deviation and variance for the prices in June. Round the answers to at least three decimal places.
(b) Find the population standard deviation and variance for the prices in July. Round the answers to at least three decimal places.
How many patients had more than 5 cavities?
Answer:
2 patients had more than 5 cavities.
step-by-step explanation:
5 cavities = 26 cavities = 07 cavities = 2Here cavities > 5
so only 2 patients had more than 5 cavities also as had total 7 cavities.
Answer:
2 patients had more than 5 cavities
Step-by-step explanation:
Each dot represents a different patient.
"More than 5" means numbers greater than 5 (so from 6 onwards).
From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.
Therefore, there are 2 patients who had more than 5 cavities.
**see annotated dot plot**
The area shaded with a pink rectangle is "more than 5 cavities"
Airplane A traveled 1662 miles in six hours.
For Airplane B, y = \(\frac{922}{3}x\)
x represents its rate of speed over the same six hours.
Compare the two airplanes to determine which airplane traveled at a faster rate?
Airplane A traveled at a faster rate. The solution has been obtained by using speed-distance-time relationship.
What is speed-distance-time?Speed is calculated by dividing the distance traveled by the time needed to complete the journey. Distance and speed are intimately associated but time and speed are not.
We are given that Airplane A traveled 1662 miles in six hours.
We know that Speed = Distance / Time
Using this, we get
⇒Speed = 1662 / 6
⇒Speed = 277 miles per hour
We are given for Airplane B that y = 922/3x , where x represents its rate of speed over the same six hours
So, from this we get,
⇒Speed = (922/3) / 6
⇒Speed = 922 / 18
⇒Speed = 51.22 miles per hour
Hence, Airplane A traveled at a faster rate.
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Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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Solve for x and graph the answer on a number line
2
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.
Answer: 16%
Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.
f(x) = x2 + 12x +32
Find the roots of the function
Answer: Evaluate
Step-by-step explanation:
what is the answer for this( 7 3 x ∛27 - 2) x 1 5 + √81
Answer:
5208
Step-by-step explanation:
(73 x ³√27 - 2) x 15 + √81
(73 x 3 - 2) x 15 + 9
(219 - 2) x 24
217 x 24
5208
Find two positive numbers whose difference is 9 and whose product is 2950.
Answer: 50 and 59
I divided 2950 by 25 because I knew it would somehow factor into that since it ends in 50. Then, I got 25 and 118. From there, I just divided 118 by 2 since I knew that it would end in a 9 and I multiplied 25 by 2. Not sure if this is really helpful, but you also try using a GCF calculator and look up all the factors of that number next time!
Which of the following number sentences is an example of the associative property of multiplication?
1. (12 × 3) × 8 = 12 (3 × 8)
2. 6 × 1 = 6
3. 4 × 5 = 5 × 4
4. 20 × (10 + 6) = (20 × 10) + (20 × 6)
Answer:
It is 1 or 4 i think
Step-by-step explanation:
Answer:
1. (12 × 3) × 8 = 12 (3 × 8)
Step-by-step explanation:
i did lesson!! giving free answers to people!! you're welcome!!
How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2
The system of equations has one solution.
How many solutions does this system has?To check this, we can graph the two equations of the system:
y = (-1/3)x + 7
y = -2x³ + 5x² + x - 2
On the same coordinate axis, and check how many times do the graphs intercept.
The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.
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There are four drops of red food coloring in
25 candy canes. How much red food
coloring is in each candy cane
Answer:
0.16 drops
Step-by-step explanation:
If there are a total of 4 drops in 25, the amount in each could be represented as 4/25. This results in 0.16, thus 0.16 drops in each candy cane.
If this helped you understand and find the solution brainliest would be much appreciated :)
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
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Lettets a, b, c, and d are angle measures Which should equal 105 to prove false g
Answer:
a equals 105°
Step-by-step explanation:
angles in a straight line add up to 180°
a+75=180
a=180-75
a=105°
Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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The cycling tour has a $6,500 budget. This includes travel, accommodation and food. If $1,870 is spent to cover the first week’s travel and accommodation, how much money is left
Answer:
4710
Step-by-step explanation:
6580 minus
1870
4710
Select ALL the correct answers.
A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
Select the statements that give a correct interpretation of the above expressions.
Expression A grows at a rate of 5% every three months, while expression B decays at a rate of 12% every four months.
Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months.
Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.
Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.
Expression A has an initial value of 624, while expression B has an initial value of 725.
The statements that give a correct interpretation of the above expressions is Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months.
Expression A has initial value of 624, while expression B has initial value of 725
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.
according to the data given,
The company's records show the sales of short boards decrease every three months as represented by expression A.
The company's records show that the sales of long boards increase every four months by expression B.
Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months
Expression A has initial value of 624, while expression B has initial value of 725.
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A scooter runs 40 km using 1 litre of petrol tje distance covered by it using 15/4 litres of petrol is
Answer:
150 km
Step-by-step explanation:
1 liter ............ 40 km
15/4 liter .........x km
x = 15/4×40/1 = 600/4 = 150 km
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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jerome measures the length of 40 ropes and uses a line plot to organize his data. how many more ropes are there that are 3/8 yard long or greater than ropes that are less than 3/8 yard long?
There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long
What is a line plot?A Line plot (dot plots) is a graph or plot that displays on a number line, showing the frequency of each value.
From the image showing the line plot below:
Number of ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long = 5 + 4 + 6 = 15
There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long
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A cylidrical container of height 28cm and diameter of 18cm is with water. The water is then poured into another container with a rectangular base of length 27cm and width 11cm . Calculate the depth of the in the container.
Answer:
23.9894949495cm is the depth of the container.
Step-by-step explanation:
Cylindrical container:
height: 28
radius: 9 (or 18/2)
pi * 9² = 254.4690049408
254.4690049408 * 28 = 7,125.1321383424 cm²
cylidrical container area: 7,125.1321383424cm²
Container:
length: 27cm
width: 11cm
27 * 11 = 297
7,125.1321383424 / 297 = 23.9894949495cm
I assume that the container with rectangular base is precisely full when tou pour the water into it.
And that your question was how deep the container was.
fiilimsiler fiilden türeyen ancak cümlede isim sıfat zarf olarak kullanılan sözcükler dir buna göre aşağıdaki cümlelerin hangisinde fiilimsi kullanılmamıştır A) onun bu soruyu sorma hakkını elinden almayacaksın
B) her gün okuldan çıktığında amcasına yardım etmek için oyuncakçı dükkanına gidiyordu
C) kedinin vitrinde yattığını görenler hemen içeri giriyordu
D) küçük kızlar sizlere bu kitapta komik mi komik öneriler ve öğütler var
Answer:
B
Step-by-step explanation:
Have a good day!
HELP ASAP!!!!PLEASE
Answer:
47xy
Step-by-step explanation:
The answer is 47xy because you add the area of the first quadrant to the second quadratic triangle to reactive the triangle bade
\(57=\frac{5}{8}z+7\)
\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)
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answer all 3!!!!
easy brainliest!!
Answer:
Step-by-step explanation:
1) DE = 6/sin63 = 6.7
DF = 6/tan63 = 3.1
m∠E = 180 - 90 - 63 = 27°
2) tan30 = 1/√3 = UV / (27√10)
UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30
3) cosV = 3/8
cos⁻¹(3/8) = 68
m∠V = 68°
Part D
Simplify the expression from part C to find the perimeter of the house in feet.
PLESS I BEGG FOR YOUR HELP U GET BRANILY AND A LOT OF POINTS
Louise measured the perimeter of her rectangular scrapbook to be 150 cm. If the scrapbook is 42 cm wide, how long is the scrapbook?
A.
75 cm
B.
31 cm
C.
66 cm
D.
33 cm
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,