Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Find the area of each figure. Use 3.14 for phone
Area of triangle: 3m
Area of rectangle: 24m
Area of semi-circle: 6.28m
Answer:
33.28 m²
Step-by-step explanation:
The figure consists of three shapes:
1) A semicircle of radius 2 m.
2) A rectangle 4 m by 6 m.
3) A triangle with base 3 m and height 2 m.
area = ½πr² + LW + ½bh
area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2
area = 6.28 m² + 24 m² + 3 m²
area = 33.28 m²
Howard needs to buy pens and pencils for work. Pens cost $0.40 each and pencils cost 50.25 each. He needs to buy at least 340
pens and pencils combined, while spending no more than $100. If x represents the number of pens and y represents the number
pencils, which TWO statements are correct?
A)
x = 40 and y - 320 is a viable solution
B)
X = 100 and y = 260 is a viable solution
C)
x + y = 340 and 0.40x +0.25y 2 100 models the situation
D
-* + y 2 340 and 0.40x + 0.25y = 100 models the situation
E
x + y2 340 and 0.40% +0.25y 2 100 models the situation
Answer: what is the answer
Step-by-step explanation:
A 30-ounce box of cereal contains 12 servings.
Which value represents the unit rate in this scenario?
O A. 0.4 ounces/serving
O B. 2.5 ounces/serving
O c. 6 ounces/serving
O D. 18 ounces/serving
Answer:
tha answer is B
Step-by-step explanation:
State the relationship between the graphs of f(x) and g(x).
-5
5
X
X
a.
fand g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
C. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Answer:
B
Step-by-step explanation:
Calculated
As per the data, f and g are reflections of each other about the y-axis. The correct option is A.
What is graph?To graph is to create a diagram that depicts a relationship between two or more things. A graph can be made by drawing a series of bars on graph paper.
A graph (also known as an undirected graph to distinguish it from a directed graph or a simple graph to distinguish it from a multigraph) is a pair G = (V, E), where V is a set with vertices (singular: vertex) and E is a set of paired vertices with edges.
The relationship between the graphs of f(x) = -5/x and g(x) = 5/x is that they are reflections of each other about the y-axis.
To see this, note that replacing x with -x in f(x) gives f(-x) = -5/(-x) = 5/x, which is the same as g(x). Therefore, the graphs of f(x) and g(x) are symmetric with respect to the y-axis.
Thus, the correct option is A.
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Your question seems incomplete, the probable complete question is:
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Help me with this question please
1 ) Ms. Allgood donated 63 books to her class. She would like to provide an equal number of books to each of her 9 students.
Answer:
7
Step-by-step explanation:
Answer: 7
Step-by-step explanation: 63 divided by 9 is 7, so Ms. Allgood can give all her 9 students 7 books each
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence
Answer:
A sample of 6758 would be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.
Bob the builder eat no fewer then three donuts. What is the inequality?
Answer:
3
Step-by-step explanation:
I think
Answer:
less than or equal to 3
Step-by-step explanation:
what is the fornula for find arithemetic ewuation
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
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[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
Rearrange the equation so n is the independent variable.
3m-2n=12
Answer:
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
Step-by-step explanation:
we are given a equation
we want to make n the independent variable
to do so
move -2n to right hand side and change its sign:
[tex] \displaystyle 3m = 12 + 2n[/tex]
divide both sides by 3:
[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]
further simplification is needed:
[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
now m depends on n and n can be any value so we have rearranged n to independent variable
and we are done!
Answer:
M= 3/2n+4
Step-by-step explanation:
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
Consider the following expression.
3y + 5x + 2
Select all of the true statements below :
2 is a constant.
3y and 2 are like terms.
3y + 5x + 2 is written as a sum
of three terms.
3y is a coefficient.
3y is a factor.
None of these are true.
Answer:
2 is a constant
3y + 5x + 2 is written as a sum of three terms
What is the value of y in the triangle ?
Answer:
c
Step-by-step explanation:
hope it helps
what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.
Answer:
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
Because:
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} * 3 = [\ ][/tex]
Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
Required
Fill in the box
[tex]\frac{1}{4} * 3 = [\ ][/tex]
This can be written as:
[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]
Solve the numerator
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
(b) Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
The above implies that
[tex]\frac{1}{4}[/tex] be added in 3 places
i.e.
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
What value of c makes the equation true? 34 = 6 + 4c
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
c=7
Answer:
The answer would be 'c=7'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.
a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.
b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.
c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.
I REALLY NEED HELP WITH THESE AND FAST.
Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.
What is the formula to find the probability of an event?The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.
a. The probability that a piece selected at random is a white rook
=2/32=1/16
Therefore, the probability that a piece selected at random is a white rook is 1/16.
b. Number of ways can you choose one white piece and one black
piece=16×16=256
Each white piece can go with a black piece 16 times and the same the other way.
Hence, 256 ways can you choose one white piece and one black piece.
c. nPr=P(4,3)=4!/3=24/3=8 ways.
Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
This is a permutation.
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
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Find Slope and Y Intercept
5y = 2x + 1
Answer:
[tex] slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
Step-by-step explanation:
[tex]5y = 2x + 1 \\ \\ \therefore y = \frac{2x + 1}{5} \\ \\\therefore y = \frac{2}{5} x + \frac{1}{5} \\ \\ equating \: it \: with \\ \\ y = mx + b \: we \: find : \\ \\ slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that cynthia can make to check her answer?
You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?
(Answer is $63.60)
Use the information above to help you answer this question. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? (DO NOT INCLUDE THE TAX)
(Answer is $51.00)
Use the information above to help you answer this question. What is your friend's total cost for the watch including tax?
Answer:
$54.06
Step-by-step explanation:
Thank you for the detailed question!!
1. The watch costs $60, but it went on sale
2. The watch is now $51.
3. Now what you have to do is find the sales tax
51*6/10=3.06.
51+3.06= 54.06
The final price for your friends watch will be $54.06
B
15. x =
106
(10x -23)
D
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...
2(10x -23)° +106° = 360°
2(10x -23) = 254 . . . . . . . . divide by °, subtract 106
10x -23 = 127 . . . . . . . . . divide by 2
10x = 150 . . . . . . . . . . add 23
x = 15 . . . . . . . . . . . divide by 10
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer: -2
Step-by-step explanation:
When x is 0, y is -2.
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
Answer:
Step-by-step explanation:
y= -1/4x
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%
PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
Answer: C. Use the numbers 1-3 to represent all the outcomes.
Step-by-step explanation: I got this question correct on Edmentum.
The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
