Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.
Answers
Answer:
Step-by-step explanation:
A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.
From the given information:
Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.
From the image below, we represent:
P =students that played Paino
G = students that played guitar
F = students that played flute
P = 50
G = 68
F = 59
(PUG) -35
(PUF) = 59
(GUF) = 40
since the value of (PUGUF) is not given, we represent it with x.
See the attached image below for diagrammatic representation of the Venn diagram.
Related Questions
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answers
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold.
Answers
I WILL GIVR U BRAINERLEST AND A LIKE
The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answers
Answer:2.7
Step-by-step explanation:
Just multily the 2 products
1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?
Answers
Answer:
the second graph (c)
Step-by-step explanation:
The curve is passing through (0, 2) and (0, -3). Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The zeroes of the polynomial function are 2 and -3.
The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.
The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).
Thus, the correct option is B.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
Answers
Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
[tex]\mu = 6*0.6 = 3.6[/tex]
The probability of scoring four goals is:
[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]
Probability of two assists:
40% of 2 are assists, which means that:
[tex]\mu = 6*0.4 = 2.4[/tex]
The probability of getting two assists is:
[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]
Probability of four goals and two assists:
[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]
0.05 = 5% probability that he has four goals and two assists in one game
is 1 5/6 a rational number or a iraarational
Answers
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
X is proportional to ✓y where y>0 .
y is increased by 44%
work out the percentage increase in x
Answers
Answer:
20%
Step-by-step explanation:
x = k√y
Increase y by 44%. y becomes 1.44y.
x = k√(1.44y)
x = 1.2k√y
x went from k√y to 1.2k√y.
(1.2k√y)/(k√y) = 1.2
x is now 1.2 times greater than it was, so the increase in x is 20%.
Answer: 20%
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answers
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
Hey, can someone please help me? I’m pretty sure the answers are B and D but I just wanna make sure.
Answers
Answer:
yes b and d
Step-by-step explanation:
PLEASE HELP!! ....................... URGENT
Answers
Answer:
I got an F- on math soo i cannot help i am sorry
Step-by-step explanation:
.-.
Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math
Answers
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!
Answers
G. A. B. O
By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges
A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help
Answers
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
safari
if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x
Answers
Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
Please help!!! These are the options
From the table Riley is moving forward on the interval [0,
A.4.5 B. 1.5 C.3 D.6.
It takes Riley A.3 B.4.5 C.6 D.1.5 seconds to swing forward,back and then return to her standing position. Riley reaches a maximum distance of A.6.75 B.38.9 C.1.5 D.55 inches of her starting position.
Answers
Answer:
From the table, Riley is moving forward on the interval [0,1.5].
I takes Riley 6 seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of 38.9 inches from her starting position.
Step-by-step explanation:
PLATO/Edmentum
The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
What is a table?Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.
Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.
Now as per the table, the statements can be completed as,
Riley is moving forward on the interval [0, 1.5]It takes Riley 3 seconds to swing forward, back, and then return to her starting position.Riley reaches a maximum distance 55 of Inches from her starting position.Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
Learn more about Table here:
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What is the lateral area of the pyramid
Answers
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
what is the product of 4/5 and 6/7
Answers
PLS AWNSER I WILL GIVE BRAILIEST
Answers
suzy will be walking around the circumfernnce of the fountain
circumfernce= [tex]2\pi r[/tex]
r is half of the diameter so it will be 5
[tex]2\pi (5)=31.4[/tex]
as she walks around it 3 times it will be
[tex]31.4 *3 = 94.2 feet[/tex]
so the answer is H. 94.2 feet
please mark as brainliest
write a real world problem that could be represented by 1/5 x 5 = 1
Answers
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Answers
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answers
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.
Answers
Answer:
5 is a constant
2 is a coefficient
7a + 5 + 2b is written as a sum of three terms
does anyone know this
Answers
Answer: 761 yd
split the figure into different pieces to make it easier
(23 x 7) + (40 x 15)
161 + 600
761
hope this helped :)
Answer:
761 yd ^3
Step-by-step explanation:
For every four female students in a training class, there are two men. There are seven male students. What is the total number of students in cass?
Answers
Answer:
it may be 19 or 20 but I may be wrong
Step-by-step explanation:
sorry if I'm wrong
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
The wright answer is 16.33 inches
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answers
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
the question is in the picture.
Answers
Answer:
Team 1
Step-by-step explanation:
I think it is team 1 because their whiskers go through the whole graph and team 2 only goes from 68 to 76
Answer:
team 1
Step-by-step explanation:
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answers
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
the age of three sibling leon,kelly,and jack are in the ratio 3: 5: 6:. the sum of their age is 42 years.how old is kelly?
Answers
A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.
Answers
Answer:
The family spends 41/60 of its income on these items altogether.
Step-by-step explanation:
Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:
10, 4, 5, and 15 have a common least multiple at 60.
1/10 = 6/60
1/4 = 15/60
1/5 = 12/60
2/15 = 8/60
6 + 15 + 12 + 8 = 41
Therefore, the family spends 41/60 of its income on these items altogether.