The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.4 times every eight hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.
What is ? (Round your answer to three decimal places.)
(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.)
(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.)
(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.)
Answers
Using the Poisson distribution, it is found that:
a) Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.b) 0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.c) 0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.d) 0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes e = 2.71828 is the Euler number \(\mu\) is the mean in the given interval.Item a:
In this problem, we are given the mean during an interval, which is a common event(1.4 every 8 hours), and intervals can be assumed to be independent, hence, the correct option is:
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.Item b:
Mean of 1.4 every 8 hours, hence, every 11 hours, the mean is:
\(\mu = 11 \times \frac{1.4}{8} = 1.925\)
The probability is:
\(P(X \geq 1) = 1 - P(X = 0)\)
In which:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459\)
Then
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1459 = 0.8541\)
0.8541 = 85.41% probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security.
Item c:
The probability is:
\(P(X \geq 3) = 1 - P(X < 3)\)
In which:
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
Then:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459\)
\(P(X = 1) = \frac{e^{-1.925}(1.925)^{1}}{(1)!} = 0.2808\)
\(P(X = 2) = \frac{e^{-1.925}(1.925)^{2}}{(2)!} = 0.2703\)
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1459 + 0.2808 + 0.2703 = 0.697\)
\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.697 = 0.303\)
0.303 = 30.3% probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security.
Item d:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.925}(1.925)^{0}}{(0)!} = 0.1459\)
0.1459 = 14.59% probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security.
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Related Questions
IM IN DESPERATE NEEED!!!
What is the solution to this system of equations?
Answers
Answer:
\(x + y - x = 6 - y - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5\)
Is 2.04 is greater or less than 2.040?
Answers
Answer:
See below
Step-by-step explanation:
2.04 is neither greater nor less than 2.040
but 2.04 is equal to 2.040.
\(2.04=2.040\)
The number of CD's sold since April 8 at a music store can be
modeled by the function N(d) = 12d +35 and the price per
CD can be modeled by P(d) = 0.3d2 - d+5, where d is
the number of days since April 8.
of revenue
According to this model, what is the total amount of rev
generated by the store's CD sales on April 18?
Answers
The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.Markup on selling price is 27 %.
How do you calculate markup on selling price?The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage.
Below, you'll find various possible formats for the markup formula or equation.
The selling price given as = $ 15
The cost per CD is = $ 11
The total profit = Selling price - Cost
Total profit per CD = $ 15 - $ 11
Total profit per CD = $ 4
The markup on selling price is calculated as - Total profit ÷ Selling price × 100
Markup on selling price = $ 4 ÷ $ 15 × 100 =26.6666 % or 27 %.
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linear equation with no solution please help
Answers
Answer:
2x+3y=10
Step-by-step explanation:
when you solve this equation doesn't have solution but is linear
9514 1404 393
Answer:
x = x +1
Step-by-step explanation:
For the "no solution" case, we usually want a linear equation that resolves to something of the form 0 = 1. We can multiply this by any (non-zero) factor we may like, and add any linear expression that seems suitable. The simplest treatment would be to simply add x to both sides:
x +0 = x +1
x = x +1 . . . . . . linear equation with no solution
__
If you want to see something more complicated, multiply by 12 and add 2x-9
(2x -9) +12(0) = (2x -9) +12(1)
2x -9 = 2x +3 . . . . . another linear equation with no solution
Find an expression which represents the sum of (-6x + 9y) and (-10x – 6y) in
simplest terms.
Answers
Answer:
-16x+3y
Step-by-step explanation:
sum=add
(-6x + 9y)+(-10x – 6y)
Combine like terms
-6x+(-10x)
-16x
9y+(-6y)
3y
-16x+3y
a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
Answers
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
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1. A right triangular prism that is 12 inches long, 3 inches
wide, and 4 inches tall is represented by the figure
below. What is the volume of the prism, in cubic inches?
Answers
Volume V = 72 m3
Bottom area Abot = 6 m2
it takes mm to make cm
Answers
Answer:
In one in. there is 10 mm
Answer:
The answer is 10 mm
Step-by-step explanation:
it takes 10 mm to make 1 cm
-TheUnknownScientist 72
The diameter of a circle is 94 cm.
By first calculating the radius, work
out the area of the circle.
2
Give your answer in cm² to 1 d.p.
Answers
\(\huge\boxed{Formula: r= \frac{d}{2}}\)
Substitute the values according to the formula.
\(r=\frac{94}{2}\)
\(\large\boxed{r=47 \: cm}\)
Now, let's find the area.
\(\huge\boxed{Formula:a= \pi{r}^{2}}\)
So, we'll have to multiply π, 47 and 47.
Substitute the values according to the formula.
\(a= \pi{47}^{2}\)
\(a= 6939.778172 \: {cm}^{2}\)
\(\large\boxed{a= 6939.8 \: {cm}^{2}(1 \: d.p)}\)
Hence, the area of the given circle is 6939.8 square centimeters.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the radius & area of the circle.
To find the \(\star\bf{radius}\star\), we divide the diameter by 2:
\(\star~\bf{94\div2}\)
\(\star~\bf{Radius=47}\star\)
Now that we have the radius, let's compute the area! :)
///\\\///\\\///\\\///\\\///\\\////\\\///\\///\\\///\\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\//\\\//\\
Calculating the Area
We can work out the area of a circle by using this formula:
\(\star\boxed{\pmb{A_{(circle)}=\pi r^2}}\star\)
Where
\(\dag\) A=Area of a circle
\(\dag\) \(\pi =3.14...\)
\(\dag\) r=radius
Have you noticed the \(\large\pmb{^2}\) next to r? This tells us that we should multiply the radius times itself.
Now it's time to substitute the values:
\(\star~\large\pmb{A=3.14\times47^{2}}\star\)
Let's simplify it. The acronym PEMDAS will help us, and we won't make any mistakes in the Order of Operations! :)
Here's what it stands for:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
2 is an exponent.
So what do you think we should do first?
\(\square\) Square 47.
\(\square\) Multiply 3.14 times 47 and then square.
That's right, we should square 47 first. :)
\(\star~\large\pmb{A=\pi \times2209}}\star\)
Now, according to PEMDAS, we should multiply pi times 2209; after multiplying, we obtain:
\(\star~\large\pmb{A=6936.8\:cm^2}\star\)
Remember, the area of any shape is measured in units squared.
\(\ddot\bigstar\) Remember this...
\(\fbox{\bf{The\;area\;of\;any\;shape\;is\;measured\;in\;units\;squared}}\)
Hope this helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
\(\bigstar\footnotesize\pmb{M^ar_ib^el\;Peri}\)
If you subtract 3 from twice a number,the result is 25.find the number
Answers
14
This should be right!
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answers
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.21% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2020?
Answers
Answer:
29,378 people
Step-by-step explanation:
\(28337 \times {1.0121}^{3} = 29378\)
the set of ordered pairs represents a function
(1, 3) (2, 9) (k, 12) (5, 9) (8, 0)
Which of these could be the value of k
Answers
Answer:
12
Step-by-step explanation:
because it digit havbeen given ad k
2. (11 pts) Evaluate the following limits using the method of your choice. Show work to support your
answer. If the limit does not exist, state it clearly.
lim (x cos Tx + 2)
a.
Lim (2x-6)/(x^2-5x+6)
x-->3
Answers
2x - 6 = 2 (x - 3)
and
x² - 5x + 6 = (x - 3) (x - 2)
so that
\(\displaystyle\lim_{x\to3}\frac{2x-6}{x^2-5x+6}=\lim_{x\to3}\frac2{x-2}=\boxed{2}\)
A landscaper has enough concrete paving stones to create a patio with an area of at most 250 square feet. The landscaper wants the length of the patio to be six feet longer than three times the width.
Select the statement that accurately describes the situation and justifies a possible width of the patio.
A.
A possible width is 10 feet because w = 10 satisfies 3w2 + 6 ≥ 250.
B.
A possible width is 11 feet because w = 11 satisfies 3w2 + 6w ≥ 250.
C.
A possible width is 8 feet because w = 8 satisfies 3w2 + 6w ≤ 250.
D.
A possible width is 9 feet because w = 9 satisfies 3w2 + 6 ≤ 250.
Answers
Answer:
C
Step-by-step explanation:
+) L = 3W + 6
+) L×W = (3W + 6)×W = 3W² + 6W ≤ 250
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students receive between a 70% and 94% enter the value of the percentage without the percent sign
Answers
Answer:
49.87
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.
This means that \(\mu = 70, \sigma = 8\)
What percentage of students receive between a 70% and 94%
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 70. So
X = 94
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{94 - 70}{8}\)
\(Z = 3\)
\(Z = 3\) has a p-value of 0.9987.
X = 70
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{70 - 70}{8}\)
\(Z = 0\)
\(Z = 0\) has a p-value of 0.5.
0.9987 - 0.5 = 0.4987.
0.4987*100% = 49.87%.
So the percentage is 49.87%, and the answer, without the percent sign, is 49.87.
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
Answers
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
\(\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}\)
Please help me on this for my quiz: Which equation represents an inverse variation with a constant of 56?
A: y/x=56
B: 7/y=8/x
C: 1/4y=14x
D:xy/2=28
Answers
Answer:
D) xy/2 = 28
Step-by-step explanation:
Inverse Variation:
y = k/x
Given:
k = 56
Work:
y = k/x
y = 56/x
xy = 56
xy/2 = 28
xy = 28 * 2
xy = 56
John types 265 words in 5 minutes. At this rate, how many words does he type per minute
Answers
Answer:
John can type 53 words per minute
Step-by-step explanation:
You would divide 265 by 5 to get the result of 53.
Answer: John types 53 words a minute
Step-by-step explanation:
1 We know he types 265 words in 5 minutes
2 DIvide 265 by 5 to get one minute
3 the answer is 53, so he types 53 WPM
Find the lateral surface area show your work
Answers
On solving the provided question, we cans ay that lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
lateral surface area of cuboid = 2h(l+b)
h = 2cm
l = 5cm
b = 4cm
lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.
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let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.
Answers
Answer:
See explanation
Step-by-step explanation:
Given
f(r) => Number of people in the bus after 8am
Required
Interpret f(5) = 23
Going by the analysis in the question, the interpretation goes this:
5 hours after 8 am, there are 23 riders on a bus
We can also interpret as:
There are 23 riders on a bus at 1 pm
Since 1 pm = 5 hours after 8am
What is the square root of 49/100?
Answers
8x - 8 = 7x simplified down
Answers
Step-by-step explanation:
Hope my answer helps mark me brainliest
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
Evaluate log4 exponent 0.5
Answers
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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For ()=‾‾√, use the values of (144) and (169) to estimate the value of 155‾‾‾‾√.
Answers
The square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
What is a compound inequality?A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.
The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.Hence one example of a compound inequality is:
a ≤ x ≤ b.
Which is read as follows:
x is greater or equal than a and less or equal than b.
For this problem, we have that:
12² = 144, hence sqrt(144) = 12.13³ = 169, hence sqrt(169) = 13.Considering that 155 is between 144 and 169, and the square root function is increasing over it's entire domain, the square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
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Identify the proof to show that △ABD≅△CBD
, where ∠BDA≅∠BDC
are right angles, D
is the midpoint of AC¯¯¯¯¯
, AB¯¯¯¯¯≅BC¯¯¯¯¯
, and BD¯¯¯¯¯
bisects ∠B
.
The figure shows two triangles A B D and C B D with a common side B D. Points A, D, C lie on one line.
Answers
We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.
Given:
∠BDA ≅ ∠BDC (Both are right angles)
D is the midpoint of AC¯¯¯¯¯
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯
BD¯¯¯¯¯ bisects ∠B
Proof:
Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)
BD¯¯¯¯¯ is a common side for both triangles.
∠BDA ≅ ∠BDC (Given)
To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.
AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.
∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.
By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.
Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
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The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?
Answers
9514 1404 393
Answer:
12
Step-by-step explanation:
Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...
x + y + 2x = 27 ⇒ y = 27 -3x
The requirement that the middle number is y gives rise to the inequality ...
x < y < 2x
Substituting for y, we have ...
x < 27 -3x < 2x
Adding 3x gives us ...
4x < 27 < 5x
These two inequalities give us the requirement that ...
27/5 < x < 27/4
5.4 < x < 6.75
The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.
The greatest number is 12.
What is an equation of the line that passes through the point (4, -1) and has
slope -5?
Answers
Answer:
Point-slope equation for line of slope mthat passes through (x0,y0):y−y0=m(x−x0)
Apply your data:y+1=54(x−4)This is the equation of the line inpoint-slope form.The equation can be rearranged tostandard form or slope-intercept form.
Step-by-step explanation:
what's the inverse of f(x)=(x+3)^5
Answers
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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