Given:
[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]
So,
[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]
[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]
[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]
Using the generic set operations, we will see that:
1) X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}2) X ∩ Z = {3}3) Z = {3, 6, 9, 12, 15}How to operate with sets?
For two given sets A and B, we define:
A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.
A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.
Now we want to complete the given table:
1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:
{0, 1, 2, 3, 4, 6, 8, 10, 12}
2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:
X ∩ Z = {3}
3) (X U Y)∩ Z
Is the set of the common elements between:
X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}
Z = {3, 6, 9, 12, 15}
The common ones are:
3, 6, and 12, then we have:
(X U Y)∩ Z = {3, 6, 12}
If you want to learn more about sets operations, you can read:
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Which statement is true about the pattern above (Look at picture)
Answer:
C. the next fraction is 243/324
Step-by-step explanation:
In A, we can see that 12/16 does not fall under the sequence.
In B, all the values in the sequence is 0.75.
In C, the next fraction is determined by multiplying numerator and denominator by 3. therefor the correct solution is found.
In D, its wrong and does not match.
Check option C
243/324=0.75Hence option C is correct as all are equal in this sequence
A pack of 8 batteries cost 4.72!What is cost per battery?
-6a+12=42. How do we do this equation
Answer: -5
Step-by-step explanation:
You have to find a. Here's some steps you can take.
1.) Subtract 12 on the left side of the equal sign to get -6a by itself. When subtracting 12 you must subtract 12 from 42 as well.
2.) Your new equation would be -6a = 30
3.) Now you need to get a by itself. How do we do that? By dividing -6a by -6. REMEMBER: You must also do the same to the right side of the equal sign which is 30 (30/-6)
4.) Your problem should end up looking like this: a = -5
Which of the following is a valid application of the distributive property? A. 3. (4 - 5) = (3.4) - (3.5) B. 3 + (4 - 5) = (3 + 4) - (3 + 5) O Both A and B O A only O Neither A nor B B only
Answer:
The answer is A only.
Step-by-step explanation:
Hope that helps!
Answer:
A only.
Step-by-step explanation:
Mrs. Moore has 91 pieces of candy to split among s students. Which expression shows how many pieces of candy each student will receive?
A. 91 - s
B. 91 × s
C. 91 ÷ s
D. 91 + s
Another way to say that someone is "splitting between" themselves and someone else is "dividing amongst" or "dividing between".
Answer:
C. 91 ÷ s
Step-by-step explanation:
Split among = ÷
Hence, the Answer = 91 ÷ s
~Lenvy~
35 POINTS ALOT!
Describe your strategy to calculate the area of the shaded region. (5 pts)
b. Calculate the area of the shaded region. (5 pts)
Answer:
22.75 m^2
Step-by-step explanation:
Strategy: Find the area of the 2 triangles by finding the height of both of them and using the triangle formula.
Calculation:
(assuming both triangles are congruent)
7*((11-4.5)/2)/2*2
=3.25*7
=22.75
Answer:
22.75m^2
Step-by-step explanation:
A) area of rectangle - two trapezium
B) the way is given in image form and the final answer is= 77- 54.25 = 22.75m^2
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.6 hours for the flight, and it takes the private airplane 2.4 hours.
The speed of the commercial jet is 180 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.
commercial jet
X mph
private airplane
X mph
Answer:
commercial: 540 mphprivate: 360 mphStep-by-step explanation:
Time is inversely proportional to speed for the same distance covered. The ratio of commercial to private speeds is ...
2.4 : 1.6 = 3 : 2
If p is the speed of the private plane, then 3/2p is the speed of the commercial plane and the difference of speeds is ...
3/2p -p = 180
1/2p = 180 . . . collect terms
p = 360 . . . . . . speed of the private plane
3/2p = 540 . . . . speed of the commercial plane
The commercial jet flies 540 mph; the private plane flies 360 mph.
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...
Answer: Arithmetic and 3
Step-by-step explanation:
12 - 9 = 3 9 - 6 = 3 The common difference is equal and is three and so it is an arithmetic sequence
12/9 = 4/3 9/6 = 3/2 The ratio is not equal so this is not a geometric sequence
Mr.kellsons storage closet is 3 ft long, 3 ft wide. and 7 ft high. Can she fit 67 that each have volume of 1 cubic foot in her closet. Explain your answer
Question 2
Screenshot
Answer:
I think it's the second one.
What is 4.905 written in expanded form using a unit fraction
Answer:
if it wants reduced it is 981/200
if it doesn't mater this is not reduced 4905/1000
The number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
What is expanded form?The expanding form can be used to indicate the value of each digit in a number in arithmetic. Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.
It is given that:
The number is 4.905
The number can be written in the expanded form as:
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
4.905 = 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³
Thus, the number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
Learn more about the expanded form here:
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what is the answer to this one 20x+12≥14x+30
x≤3
x≤7
x≥3
x≥7
Answer:
X≥3
Explanation:
20х+12≥14х+30
20Х+12-14Х≥30
20х-14х≥30-12
6Х≥30-12
6х≥18
х≥3
Ken built a square fence around his yard. He planted 4 trees on each side of the fence. What is the least number of trees Ken planted?
A. 4
B. 12
C. 19
D. 20
Answer:
12
Step-by-step explanation:
edge 1045
Select the correct answer from each drop-down menu.
Martin purchased a condo below market value in 2001. He pald $92,500 for the condo even though the market value of the condo
higher. In 2014, Martin transferred to another city for work and had to sell his condo. The market value of his condo Increased ov
shown in the graph below, where the yaxis represents the market value of the condo, in dollars, and the x-axis represents the nu
since 2001.
Market Value of Martin's Condo
y
200,000
190,000
180,000
170,000
ue ($)
160,000
The linear function that represent the value of Martin condo is y = 2000x + 92500
Linear equation
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the market value of the condo after x years since 2001.
In 2001, the condo was $92500, hence b = 92500.
Let us assume the value increased by $2000 per year, hence:
The linear function that represent the value of Martin condo is y = 2000x + 92500
Find out more on Linear equation at: https://brainly.com/question/14323743
100k value
5% per year
NOT!!! 2001
NOT!!!2014
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.
%
We have that the percent of increase in the temperature is mathematically given as
P=81.376%
The percent of increase in the temperature
Question Parameters:
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
Generally the equation for the Rise in temperature is is mathematically given as
945=1714*x
x=0.55
Therefore
55% of 1714 gives 945
Hence, The parentage increase is
P=(1714-945)/945*100
P=81.376%
For more information on Temperature
https://brainly.com/question/13439286
Answer:
the answer is 76.02
Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease
Given g(x) = (x+2) f(x) = 3x+1. find (Fog)(x)
Answer:
they ask for composite functions better do online search
here you go
= 3(x+2)+1
What is the slope of the line on the graph below?
Answer:
Two ways to get the solution:
slope = rise
run
slope = 1
3
or
slope = y2- y1
x2 - x1
slope = -4 - (-5)
3 - 0
slope = 1
3
Check Understanding
Shel has 11/8 pizzas to sell. How much pizza does he have? Write the mixed number
Answer:
1 3/8
Step-by-step explanation:
There 11 is greater than 8, so there is one whole pizza. 11-8=3 so there are 3 more out of those 8.
shoot me a comment if there are more questions, have a good day :)
Find the solution to the system of equations by substitution.
2x - 2y = - 6
y= 2x
Answer:
x = -2
y = 2
Step-by-step explanation:
Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2
Solve
[tex]2 \times 2(3 \times 2) \\ hurry \: first \: person \: brainest \\ thank \: you[/tex]
Pls
hurry
Thank you
Answer:
24
Step-by-step explanation:
2×2(3×2)
2×2(6)
2×12
24
Joseph has $620 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $440.12.
• He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $53.96 each.
Answer:
https://brainly.com/question/24093265
Step-by-step explanation will be provided in the link above!
2. Lawn tickets cost $30 each and seat tickets cost $50
each. The organizers want to make at least $14,000
from ticket sales.
If you know that exactly 200 seat tickets were sold,
what can you say about the number of lawn tickets?
In order to complete the target the person must have to sell 133 lawn tickets and 200 seat tickets.
What are arithmetic operations?The study of numbers and their operations, which are essential to all other branches of mathematics, falls under the umbrella of arithmetic operations. The four fundamental operations in these systems are addition, subtraction, multiplication, and division.
It is given that, tickets for the lawn cost $30 apiece, while those for seats cost $50 each. At least $14,000 is what the organizers want to make from ticket sales.
The amount earned from seat tickets,
=$50 × 200
=10000
The amount needed to complete the target,
=$14,000 - $10,000
=$4,000
If they earned $4,000 by selling lawn tickets. Since lawn tickets were $30, the formula to determine how many were sold is $4000 divided by $30.The number of lawn tickets is obtained as,
=4000/30
=133
Thus, the number of lawn tickets will be 200.
Learn more about the arithmetic operations here,
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Please help me I don’t understand at all
Answer:
p(n) = 4*(1-0.06)^n
Answer:
p(n)=4(0.94)
Step-by-step explanation: 100%-6%=94%=0.94
Hope this helps
round to the nearest whole %
1. What is the relative frequency for middle school students whose favorite sport is baseball?
2. What is the relative frequency for middle school students whose favorite sport is basketball?
3.What is the relative frequency for middle school students whose favorite sport is football?
4.What is the relative frequency for high school students whose favorite sport is baseball?
5.What is the relative frequency for high school students whose favorite sport is basketball?
6.What is the relative frequency for high school students whose favorite sport is football?
The relative frequency for middle school students whose favourite sport is baseball is 27%.
The relative frequency for middle school students whose favorite sport is basketball is 31%.
The relative frequency for middle school students whose favorite sport is football is 42%.
The relative frequency for high school students whose favorite sport is baseball is 44%.
The relative frequency for high school students whose favorite sport is basketball is 31%
The relative frequency for high school students whose favorite sport is football is 25%
What is relative frequency?
Relative frequency measures how often a value appears relative to the sum of the total values.
The relative frequency for middle school students whose favourite sport is baseball = 13/48 = 27%
The relative frequency for middle school students whose favorite sport is basketball = 15 / 48 = 31%
The relative frequency for middle school students whose favorite sport is football = 20 / 48 = 42%
The relative frequency for high school students whose favorite sport is baseball = 23 / 52 = 44%
The relative frequency for high school students whose favorite sport is basketball = 16 / 52 = 31%
The relative frequency for high school students whose favorite sport is football = 13 / 52 = 25%
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Hey! can you help me with question number 2? I am really confused about it
Please help > p finance
photo attached.
Answer:
A 0.00525
Step-by-step explanation:
Interest rate has to be a decimal.
To convert percent to a decimal, divide by 100:
6.3% = 6.3/100 = 0.063
For the monthly rate, divide 0.063 by 12 (since there are 12 months in a year):
0.063/12 = 0.00525
Therefore, r = 0.00525
Question
The time in minutes) for each of Ahmed's phone calls this week are: 9, 15, 5, 7, 9, 12, 11, 4. Which of the following
statements is true?
The mode is greater than 7.
The mean is less than 8.
The range is less than 10.
The median is greater than 10.
it was observed that 60% read
magazine A, 50% magazine B, 50% magazine C, 30% A and B, 20% B and C, 30% C and
A and 10% all the threes. In the fitness of the thing, state (i) what percentage read exactly
two magazines ? (ii) what percentage do not read any of the threes ?
Answer:
je
Step-by-step explanation:
suis suis pasforet en anglais
We're dealing with percentage. hence, our universal set: U=100%.
Let:A = set of those that read magazine A
B = set of those that read magazine B
C = set of those that read magazine C
(i) we are looking for n{(A n B) u (B n C)}
so, n{(A n B) u (B n C)} = n(A n B) + n(B n C) -n(A n B n C)
n{(A n B) u (B n C)} = 20% + 30% - 10%
: n{(A n B) u (B n C)} = 40%
(ii) We're looking for {A' n B' n C'}
{A' n B' n C'} = n(U) - n(A u B u C)
{A' n B' n C'} = 100% - n(A u B u C)
n(A u B u C) = n(A) + n(B) + n(C) - n{(A n B) - n(A n C) -n(B n C) + n(A n B n C)
n(A u B u C) = 60% + 50% + 50% -30% - 30% - 20% + 10%
n(A u B u C) = 90%
however, {A' n B' n C'} = 100% - n(A u B u C)
: {A' n B' n C'} = 100% - 90%
{A' n B' n C'} = 10%
let me know if you think there's a reason to doubt my answer.
What is the square root of -3-4i??
Answer:
this what i got
Step-by-step explanation:
=1.73205081i
All roots:
1.73205081i
−1.73205081i
3 is not a perfect square
Calculate the probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Using the normal distribution, it is found that there is a 0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.Researching the problem on the internet, it is found that:
The mean is [tex]\mu = 3.59804[/tex].The standard deviation is [tex]\sigma = 0.47986[/tex].The probability is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.1, hence:
X = 4.2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4.2 - 3.59804}{0.47986}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.59804}{0.47986}[/tex]
[tex]Z = -1.04[/tex]
[tex]Z = -1.04[/tex] has a p-value of 0.1492.
0.8944 - 0.1492 = 0.7452.
0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
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