The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}
How to create the Subset and Proper Subset of the set?The set is given as:
A = {1,2,3,4}
Subsets of a set are sets that can be found in another set
An instance of this is
B = {1, 2}
Because all the elements of set B are in set A
Proper subsets of a set are sets that contain the exact elements found in another set
An instance of this is
C = {1,2,3,4}
Because set C and set A have the same elements
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1. The vapour density of ethyl alcohol vapour is (C,H,OH)
D 22
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time. The reason for the difference is that you considered that only 3 balls would be drawn, and not 20.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, the parameters are given as follows;
N = 60, k = 3, n = 20.
You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
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Does 400000 equal 4*10 to 6 power
Answer:
yes!
Step-by-step explanation:
Answer:
No.. 4×10^6 is 4000000
..........
The Knutson Corporation needs to save $15 million to retire a(n) $15 million mortgage that matures in 10 years. To retire this mortgage, the company plans to put a fixed amount into an account at the end of each year for 10 years. The Knutson Corporation expects to earn 10 percent annually on the money in this account. What equal annual contribution must the firm make to this account to accumulate the $15 million by the end of 10 years?
Answer: 941,180.92
Step-by-step explanation: sorry if it is wrong.
(-1,1)becames? (0,0)becomes?(1,1)becomes?
Answer:
(-1,1) becames 0, (0,0) becomes 0, (1,1) becomes 2
Trust Onepunchman (and maybe brainlist if I get it right)
This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!
Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
A package of 8 notebooks cost $5. How much will 24 notebooks cost?
О.
Oь
Ос
12
15
10
Answer: B: 15
Step-by-step explanation:
Plz HELP BRAINLIEST IF CORRECT IM KINDA IN A RUSH PLZ HELP ;)
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Answer:
0.5
Step-by-step explanation:
Since 1.5 quarts are required for 3 quarts you need to divide 1.5 and 3.
1.5 ÷ 3 = 0.5
A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for this month, how much interest would you have to be paid on the balance?
Answer:
B
Step-by-step explanation:
Because
During a particular football game, the Chicago Bears made 17, 3, -6, 32, -11 yards. What was the total gain or loss made by the team? Please indidate whether it was a gain or loss along with the yards. (Note a positive number would be a gain and a negative number would be a loss
Answer:
Step-by-step explanation:
a plant measured x inches tall this week
Given f(x) = -8 + 1, find f(5)
Answer:
im guessing its actually -8x +1, so
-8 (5) +1
-40 +1
-39
What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?
Answer:
y = 0.8x – 4
or
y = 4 /5x- 4
Step-by-step explanation:
the slope is 4/5 or 0.8 either one work :)
Solve for x in the triangle
Which of the following are partial products for 43 × 17? Choose all that apply.
Answer:
21
400
Step-by-step explanation:
A truck driver is carrying eleven bills. Some of the bills are
$10 bills (x), and some are $5 bills (y). Together, the bills
total $85. How many $10 bills does she have?
Answer:
6 ten-dollars bills
Step-by-step explanation:
x + y = 11
10x + 5y = 85
5( x + y ) = 5(11)
5x + 5y = 55
10x + 5y = 85
-5x + 0 = -30
x = 6
Explain how to find 27% of 16 using multiplication by
decimal. Then explain how to use estimation to chec
your answer.
Answer:
4.32
Step-by-step explanation:
You can multiply 16 by 0.27 to get the answer.
16*0.27=4.32
You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.
Answer:
4.32
Step-by-step explanation:
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
Convert 27% to the equivalent decimal 0.27.
Multiply 16 by 0.27 to get 4.32.
Use estimation to check the answer by choosing the friendly percent 25%.
25% of 16 is equal to 16 ÷ 4 = 4. So the answer is reasonable.
Determine weather the following graph represents a function
Answer:
it doesn't because there are places where there are two y values which just doesn't work out.
Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Dilation involves changing the size of a shape.
The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
The given parameters are:
[tex]k =3[/tex] --- the scale factor
[tex]E = (-4,0)[/tex]
[tex]F =(0,2)[/tex]
Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.
[tex]E' = E \times k[/tex]
[tex]E' = (-4,0) \times 3[/tex]
[tex]E' = (-12,0)[/tex]
[tex]F' = F \times k[/tex]
[tex]F' = (0,2) \times 3[/tex]
[tex]F' = (0,6)[/tex]
Given that line g is represented by points E and F; line g' would be represented by points E' and F'
So, both lines would be parallel.
Hence, the true option is (d)
Read more about dilation at:
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Answer:
The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Step-by-step explanation:
Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
.2(.7x-5)+0.2=1.4(x-1.6) . . . . given
Eliminating parentheses, we have ...
0.14x -1 +0.2 = 1.4x -2.24
1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides
x = 1.44/1.26 . . . . . . divide by the coefficient of x
x = 8/7 . . . . . . . . . . .simplify the fraction
__
As a repeating decimal, the value of x is ...
[tex]x=1.\overline{142857}[/tex]
However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)
_____
Additional comment
The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.
Answer:
the answer is x=8/7
Step-by-step explanation:
:)))
What is the slope of the line that passes through the points (–20, 18) and (30, 14)? Negative StartFraction 25 Over 2 EndFraction Negative five-halves Negative two-fifths Negative StartFraction 2 Over 25 EndFraction.
(100 Points)
Answer: Negative Start Fraction 9 over 4 EndFraction divided by (negative two-thirds)
or
-9/4 / -2/3
which is basically d if your confused
Step-by-step explanation:
Took the test and got it right
Answer:
The answer is D. 2 Over 25
Step-by-step explanation:
Help meeeeeeeeereeeeeeeeeeeeeeeeeeeeeee
I WILL GIVE BRAINLIST IF THE ANSWER IS RIGHT
state of these are like terms or a pair of terms
-6x, 10x
3y,6z
1/4k, 0.5k
Answer:
Pair of terms
Step-by-step explanation:
Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 67 to 75
Answer:
Increase 11.94 %
Step-by-step explanation:
100 points if you can get this correct what is the 10nth of 800 then what is the 800th of the tenth score that=43565
Answer:
43565?
what kind of math is this?
Step-by-step explanation:
Answer:
76970
Step-by-step explanation:
Three limes weigh 4.28 ounces,4.82 ounces and 2.85 ounces.What is the difference between the weight of the heaviest lime and the lightest lime,Show your work
Answer:
The difference is 1.43oz.
Step-by-step explanation:
4.28 - 2.85 is 1.43.
3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answer:
$1.65
Step-by-step explanation:
first i divided 0.99 by 3, equalling 0.33. i then multiplied 5 times 0.99 to equal 1.65.
The following is a listing of the amount of sugar in six popular snacks found on a high school campus:
34g 34g 42g 50g 52g 58g
What is the median?
Answer:
The median is 46 g
Step-by-step explanation:
The median of a data set is the middle value. Since there are six snacks, which is an even number, you can't pick out a single middle value. Instead, to get the middle value you have to add the middle 2 numbers together and then divide them by 2 for the median.
Mark has $5,272.56 in an investment account. On Monday, the account earned $26.74. On Tuesday, the account lost $38.63.
What is the value of Mark's investment account after Tuesday?
5,260,67 because I used the calculator
Congressional Terms Below is given the summary from
112th Congress of Senators whose
terms end in 2013, 20.
2017.
2015
20
15
CAPPARE
PRESENTADAL
SCHED
2013
Democrat
21
Republican 8
Choose one of these Senators at random and find
a. P(Democrat and term expires in 2015)
b. P(Republican or term expires in 2013)
c. P(Republican given term expires in 2017)
2017
The answers to all the subparts are:
(A) P(Democrat and term expires in 2015) = 20/78(B) P(Republican or term expires in 2013) = 57/78(C) P(Republican given term expires in 2017) = 13/14(D) The two events are not independent.A table is drawn according to the given information.
(Refer to the table below)
So,
let d be the event that the person is a Democrat.let r be the event that the person is republican.let 2013 be the event that the person retires 2013.let 2015 be the event that the person retires 2015.let 2017 be the event that the person retires in 2017.From the table:
p(d) = 42 / 78 because there are 42 democrats out of a total of 78 senators who retired in either 2013 or 2015 or 2017.p(r) = 36 / 78 because there are 36 republicans out of a total of 78 senators who retired in either 2013 or 2015 or 2017.p(2013) = 29 because there are 29 senators who retired in 2013 out of a total of 78 senators who retired in all 3 yearsp(2015) = 35 because there are 35 senators who retired in 2015 out of a total of 78 senators who retired in all 3 years.p(2017) = 14 because there are 14 senators who retired in 2017 out of a total of 78 senators who retired in all 3 years.Then,
Our universe is 78 senators who retired in all 3 years (2013, 2015, 2017).
42 are democrats and 36 are republicans.29 retired in 2013 and 35 retired in 2015 and 14 retired in 2017.(A) From the table, we can see that there are 20 democrats who retired in 2015.
p(d and 2015) = 20/78.(B) This one is asking for p(r or 2013)
The formula to use here is p(r or 2013) = p(r) + p(2013) - p(r and 2013).
From the table, we can see that:
p(r) = 36/78p(2013) = 29/78p(r and 2013) = 8So, p(r or 2013) is equal to p(r) + p(2013) - p(r and 2013) which is equal to 36/78 + 29/78 - 8/78 = 57/78.
(C) This is one is asking for p(r given 2017).
The formula to use here is p(r given 2017) = p(r and 2017) / p(2017).
From the table, you can see that:
p(2017) = 14/78p(r and 2017) = 13/78So, p(r given 2017) = p(r and 2017) / p(2017) = (13/78) / (14/78) = 13/14.
(D) if they were independent, then p(r and 2017) would be equal to p(r) * p(2017).
Therefore p(r given 2017) would be equal to p(r and 2017) / p(2017) which would be equal to p(r) * p(2017) / p(2017) which would be equal to p(r).From the table, you can see that p(r) = 36/78.From the table, you can see that p(r and 2017) = 13/78) and p(2017) = 14/78.Therefore p(r given 2017) = p(r and 2017) / p(2017) = (13/78) / (14/78) which is equal to 13/14 which is not equal to p(r) = 36/78Therefore the two events are not independent.Therefore, the answers to all the subparts are:
(A) P(Democrat and term expires in 2015) = 20/78(B) P(Republican or term expires in 2013) = 57/78(C) P(Republican given term expires in 2017) = 13/14(D) The two events are not independent.Know more about the random selection here:
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The complete question is given below:
Congressional Terms Below is given the summary from
112th Congress of Senators whose
terms end in 2013, 20.
2017.
2015
20
15
CAPPARE
PRESENTADAL
SCHED
2013
Democrat
21
Republican 8
Choose one of these Senators at random and find
a. P(Democrat and term expires in 2015)
b. P(Republican or term expires in 2013)
c. P(Republican given term expires in 2017)
d. Are the events “Republican” and “term expires in 2015” independent? Explain.