The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
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As the manager of a store, you wish to determine the amount of money that people who visit this store are willing to spend on impulse buys on products placed near the checkout register. You sample twenty individuals and records their responses. Construct a frequency table for grouped data using five classes. 8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24
Answer:
The frequency table is listed down below.
Step-by-step explanation:
1:1
2:1
4:2
8:2
9:1
10:1
13:1
14:1
15:3
16:1
18:1
24:1
25:2
27:1
The frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
We have:
The sample of twenty individuals and records their responses:
8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24
The classes are:
1-6, 7-12, 13-18, 19-24, and 25-30
The frequency table for grouped data is shown in the picture.
Thus, the frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30
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Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).
Answer:
(17, -7)
Step-by-step explanation:
you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!
what’s.the perimeter of a square with an area of 49 cm2
Answer:
28Step-by-step explanation:
Area of a square =
[tex]s^2[/tex]
Perimeter =
[tex]4\times s[/tex]
Where s = side
Solve for s using the area
[tex]A =49\\\\49 = s^2\\\\Square\:root \:both\:sides\:of\:the\:equation\\\\\sqrt{49} = \sqrt{s^2} \\\\7 =s\\\\s =7[/tex]
Find the perimeter
[tex]4\times s\\\\= 4 \times 7\\\\= 28[/tex]
Round 7696.41481885 to the nearest thousand
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
7696.41481885
Round the number 7696.41481885 to the nearest thousandth term, which will be done if the number is greater than 5 then the previous of that number is increased by 1. Then the number will be
7696.415
Round the number 7696.41481885 to the nearest thousandth will be 7696.415.
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52 cars were built at the plant last month.
If that was 80% of the cars on order, how
many total cars were ordered?
Answer:
65
Step-by-step explanation:
Total cars =
[tex] \frac{52}{80} \times 100 = 65[/tex]
helppp please I have limited time
Answer:
p = T - a - b
Step-by-step explanation:
Hope that helps, not sure if it is correct though.
(6x + 7)ºx (8r - 17)
Find the value of x.
O 10
O 11
O 12
O 13
!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answer:
The answer is
27 cmStep-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
h is the height
r is the radius
V is the volume
Since we are finding the height
[tex]h = \frac{V}{\pi {r}^{2} } [/tex]
From the question
V = 675π cm³
r = 5 cm
Substitute the values into the formula and solve for the height
That's
[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]
We have the final answer as
27 cm
Hope this helps you
What’s this I need help with math...
Answer:
3^12 = 531441
Step-by-step explanation:
For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:
[ ( 3^2 ) ^ 3 ] ^ 2
= [ 3^2 * 3^2 * 3^2 ] ^ 2
= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2
And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:
3 ^ (2 + 2 + 2 + 2 + 2 + 2)
= 3^12
Either way of power manipulation, you end with the same result of 3^12. Hope this helps.
Cheers.
What is 6x^3 - z ?
x= -8
and
z= 9
FYI the 3 is an exponent on 6x
Answer:
-110601
Step-by-step explanation:
All you have to do is replace the variables with their value. So the equation would look like this,
6(-8)³ - 9
Always solve the parenthesis first ending up with
-48³ - 9
Now the exponents,
-110592 -9
Here we just subtracting getting the answer of...
-110601
Hope that helps and have a great day!
A survey of 140 pet owners yielded the following information: 47 own fish; 53 own a bird; 50 own a cat; 68 own a dog; 2 own all four; 11 own only fish; 14 own only a bird; 10 own fish and a bird; 21 own fish and a cat; 26 own a bird and a dog; 29 own a cat and a dog; 3 own fish, a bird, a cat, and no dog; 1 owns fish, a bird, a dog, and no cat; 9 own fish, a cat, a dog, and no bird; and 10 own a bird, a cat, a dog, and no fish. How many of the surveyed pet owners have no fish, no birds, no cats, and no dogs? (They own other types of pets.)
Answer:
18
Step-by-step explanation:
This is venn diagram with 4 elements
Fish = n(F)
Bird = n(B)
Dog = n(D)
Cat = n(C)
The formula is given as
n (F ∪ B ∪ C ∪ D) - n(pet owners that have not fish, bird, cat or dogs) = n(F ) + n ( B ) + n (C) + n(D) - n ( F ∩ B) - n ( F ∩ C) - n ( F ∩ D) - n ( D ∩ B) - n ( D ∩ C) - n ( C ∩ B) + n(F ∩ D ∩ C) + n(F ∩ D ∩ B) + n(F ∩ C ∩ B) + n(D ∩ B ∩ C)- n (A ∩ B ∩ C ∩ D)
= 140 - n(pet owners that have not fish, bird, cat or dogs) = 47 + 53 + 50 + 68 - 21 -26 - 29- 10 - 2
140 - n = 218 - 88
140 - 218 - 88 +[(9 + 4 + 10) -(11 + 14)] = n
140 - 218 - 88 + (33 - 25)= n
140 - 130 + 8 = n
10 + 8 = n
Question 10 (5 points)
(01.03 LC)
Which of the following is a technology-based way to monitor physical activity? (5 points)
а
Wear a watch.
b
Watch a fitness app strength video.
с
Wear a fitness tracker.
d
Use a scale to record weekly weight totals.
find the square root of each number . if the number is not a perfect square, estimate the squarer root to the nearest integer. 169, 24, 15, 40
Answer:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Step-by-step explanation:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74
Answer:
Step-by-step explanation:
The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.
Mean is the average of the data. It is the sum total of the numbers divided by the total number.
Mean = 64+72+73+60+65+86+72+69+74/9
Mean = 635/9
Mean = 70.6inches
Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude.
On re-aaranging
60, 64, 65, 69), 72, (72, 73, 74, 86
It can be seen that the number at the middle is 72, hence the median data is 72inches
Maximum value is the highest number in the data given. The highest number is 86 according to the data.
Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.
Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts
IQR = Q3-Q1
Q3 is the upper quartile
Q1 is the lower quartile
Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74
Q1 = 72+69/2
Q1 = 70.5
Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60
Q3 = 72+73/2
Q3 = 72.5
IQR = 72.5-70.5
IQR = 2.0
Hence the five numbers are 70.6, 72, 86, 60 and 2.0
Solve for x:2/3=x/9 can someone solve this
Hey there!
ANSWER: [tex]x=6[/tex]EXPLANATION:[tex]\frac{2}{3}=\frac{x}{9}[/tex]
For the first step, we will need to use the cross multiplying method.
[tex]\frac{2}{3} =\frac{x}{9}\\ (2)*(9)=(x)*(3)\\18=3x[/tex]
Now let's flip.
[tex]3x=18[/tex]
Now for the final step, we will have to divide both sides by 3.
[tex]\frac{3x}{3} equals\frac{18}{3}[/tex]
Simplify 18/3.
[tex]18/3=6\\6(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Fifteen greater than y is at least 150
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135
4z - 7y + 2 + 2y + 8y + 6z - 15
Answer: 3y + 10z - 13
Step-by-step explanation:
5x+ 9 = 80
O A
x = -7 or x= 25
OB.
x= -25 or x= 7
O C.
x= 7 or x= 16
OD.
x= -25 or x= 9
Answer:
I do not see anything that matches what I got. I got x=14.2
Step-by-step explanation:
5x+9=80
5x=71
x=14.2
Find the minimum sample size required to estimate the population proportion. Margin of error: 0.024; confidence level: 95%; p and q unknown?
Answer:
1667
Step-by-step explanation:
(Margin of Error)² = (z × 0.5)²/n
Where n = number of samples
Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²
From the above question:
Margin of Error = 0.024
z = z score of a 95% confidence interval = 1.96
Minimum number of samples
= (1.96 × 0.5)²/(0.024)²
= 0.9604/(0.024)²
= 1667.3611111
Approximately to the nearest whole number = 1667
Therefore, the minimum number of samples is 1667
Mount Everest is over 2.9 × 10 4 feet tall. In standard form, that is
Answer:
29000 feet
Step-by-step explanation:
Move decimal points 4 places to the right.
In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hou calculate how long it takes to reach the sea.
Answer:
Distance = rate x time or d = rt...that means time t = d/r...and we have
t = 21 km / .5 km/hr = 42 hr
Step-by-step explanation:
The amount of time taken by the lava to reach the sea will be 42 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.
Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.
The distance will be calculated as below:-
Distance = rate x time
d = r x t
t = d / r
t = 21 km / .5 km/hr
t = 42 hr
Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.
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Plz help me I don't understand the answer!!!!!!!!!!!
Find two consecutive integers whose product is 12.
100 points HELP / what is the slope of the line in the graph
A Negative four-thirds
B Negative three-fourths
C Three-fourths
D Four-thirds
Answer:
It is B
Step-by-step explanation:
- --FREE BRAINLIEST-- - [ Multiply (2 5/8) (-2 3/8) ] - - - [A) -6 33/40] --- [B) -4 3/8] --- [C) 4 3/8] [D) 6 33/40]
Answer:
A
Step-by-step explanation:
Because reasons
Answer:
I think B ok sorry if I guess
The table shows three popular flavors according to the results of a survey. What is the
decimal value of those who liked vanilla, chocolate, or strawberry? Round to the
nearest hundredth.
Answer:
0.45
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME !! ^^^^^^
I'll do problem 1 to get you started.
Answers are in bold
1a) Point B. This point is the "hinge" so to speak of the angle 4. Or you can think of the angle as a pair of scissors. Point B is the vertex where the two metal parts meet up.1b) There are two sides to angle 1 and they are BD and BC which form the angle in question. 1c) Angle DBE or Angle EBD are two different ways to relabel angle 5. The order doesn't matter as long as point B is at the center which is where the vertex point is always located.1d) Angle FBC = Either a Right angle or Obtuse angle (it's not clear), Angle EBF = Obtuse angle, Angle ABC = Straight angle1e) Segment EB or BE is an angle bisector. It cuts angle ABD into two equal parts (angle 4 and angle 5 are shown to be congruent through the similar angle markers)1f) Angle EBC = 144 degrees since we simply add the two smaller angle pieces to get the larger angle we want. This works because the two smaller angles are adjacent and form the larger angle.1g) I'm not sure what to do with this one. It seems like info is missing.i need alot of help plzzzzzz 50 points and ill give brainliest
Answer:
y=4
y=8
y=12
y=16
2)4=19
5=22
addition of 3 to each value
3)17
4)3a^2
5)a^4
6)1
7)An arithmetic sequence is such that the difference between any term and the one immediately preceeding it is constant.
8)A geometric sequence is such in which each term is a constant multiple of its preceeding.
9)1.25
10)B.
Answer:
y=4
y=8
y=12
y=16
2)4=19
5=22
addition of 3 to each value
3)17
4)3a^2
5)a^4
6)1
7)An arithmetic sequence is such that the difference between any term and the one immediately proceeding it is constant.
8)A geometric sequence is such in which each term is a constant multiple of its proceeding.
9)1.25
10)B.
Step-by-step explanation:
What is the sum? (4x - 3) + (-2x + 5)
Answer:
2x+2
Explanation:
A recipe for chili uses 2 cups of beans. Keith is making 1, times the recipe. Which equation helps Keith find how many cups of beans he needs?
Answer:
2x1=2
Step-by-step explanation:
If it asks for 2, but he is making that one time he still needs to use 2.