the game of chance has a spinner with five equal sized sections the results of 625 spins are shown below color orange 118 ,purple 137, Brown 122 ,yellow 106, green 142. for which color is experimental probability closest to the theoretical probability explained
Answers
Answer:
Brown.
Step-by-step explanation:
Theoretical probability for each:
625
5
= 125
122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.
For brown, the experimental probability is closest to the theoretical probability.
What is the theoretical probability?
We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:
P = 1/5 = 0.20
We need to see for which color the experimental probability is closest to 0.20.
The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:
Orange: P = 118/625 = 0.1888Purple: P = 137/625 = 0.2192Brown: P = 122/625 = 0.1952Yellow: P = 106/625 = 1.696Green: P = 142/625 = 0.2272As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.
If you want to learn more about probability, you can read:
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Related Questions
Which graph represents the linear function y = x 3/4– 4?
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=\frac{3}{4}x-4[/tex]
This is a linear equation (the graph is a line)
To identify the graph find out the intercepts
Find out the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y=\frac{3}{4}(0)-4=-4[/tex]
The y-intercept is the point (0,-4)
Find out the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=\frac{3}{4}x-4[/tex]
[tex]\frac{3}{4}x=4[/tex]
[tex]x=16/3=5.33[/tex]
The x-intercept is the point (5.33,0)
therefore
The graph in the attached figure
The graph of the linear function y = x 3/4–4 can be generated by understanding that '3/4' is the slope and '-4' is the y-intercept. This implies for every horizontal increase of 4 units, there's a vertical rise of 3 units. The function intersects the y-axis at -4.
Explanation:The linear function in question, y = x 3/4–4, can be graphed by understanding how the terms within the equation shape the line. The term '3/4' in the equation is the slope of the line and '–4' is the y-intercept. The slope or the rate of change is less than 1 which means for every increasing step in 'x', 'y' increases by less of a step (3/4 of a step, in this case). The linear function intersects the y-axis at -4. Therefore, when you plot x and y values, keep in mind that for every rise of 3 on the vertical axis, there's an increase of 4 on the horizontal axis. Start by marking the y-intercept (0, -4) and use the slope (3/4) to find the next points. From the y-intercept, move 3 units up and 4 units to the right. Repeat this pattern to generate other points that lie on the line.
Learn more about Graphing Linear Function here:https://brainly.com/question/20106471
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An item that cost $5.50 is marked up %60. What is the new price of the item after the markup? Show work please
Answers
Answer:
$8.80
Step-by-step explanation:
In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:
1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.
2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.
If you don't understand how the second way works or your teacher taught you #1, just do it the first way.
Final answer:
To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.
Explanation:
To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.
Step 1: Calculate 60% of $5.50. 60% is equivalent to 0.60, so multiply 0.60 by $5.50 to get $3.30.
Step 2: Add $3.30 to $5.50 to find the new price. $3.30 + $5.50 = $8.80.
Therefore, the new price of the item after the 60% markup is $8.80.
Mr.eldeb is designing a voting box for prom. The box must have a maximum surface area of 380 in2 with a height of 4.5 inches. If the box has a square base what is the largest width that the box could have in inches?
PLEASE HELLPP
Answers
Check the picture below.
now, we know the base is a square, thus the length = width, namely L = w, so
[tex]\bf SA=2(Lw+Lh+wh)\implies \stackrel{\textit{since we know that L=w}}{380=2(ww+wh+wh)} \\\\\\ \cfrac{380}{2}=w^2+2wh\implies 190=w^2+2wh \implies 0=w^2+2wh-190 \\\\\\ 0=(w+19)(w-10)\implies w= \begin{cases} -19\\ \boxed{10} \end{cases}[/tex]
since the units must be positive, we can't use -19.
Final answer:
To find the largest width for the voting box, we need to consider its surface area. By setting up an equation and differentiating it with respect to the width, we can find the maximum width. The largest width for the box would be approximately 58.46 inches.
Explanation:
To find the largest width of the voting box, we need to consider its surface area. The surface area of a square-based box is given by 2lw + lh + wh, where l is the length, w is the width, and h is the height. We are given that the height is 4.5 inches, and we need to find the maximum width. The maximum surface area is 380 in2, so we can set up the equation as follows:
2lw + lh + wh = 380
Substituting the given height and rearranging the equation:
2lw + (4.5)(w) + (w)(w) = 380
Simplifying the equation:
2lw + 4.5w + w2 = 380
Since we are trying to find the maximum width, we can differentiate the equation with respect to w and set the derivative equal to zero:
d(2lw + 4.5w + w2)/dw = 0
2l + 4.5 + 2w = 0
Solving for w:
w = (380 - 4.5l)/2
Since the width should be the largest possible, we can substitute the maximum value of the length. Given that the box has a square base, the length and width are equal. Therefore, we substitute l = w:
w = (380 - 4.5w)/2
Simplifying the equation:
2w = 380 - 4.5w
6.5w = 380
w ~ 58.46 inches
Therefore, the largest width that the box could have is approximately 58.46 inches.
A circle has a radius of 4 inches and a central angle of 45°. what is the measure of the arc length associated with this angle?
Answers
Answer:
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
Step-by-step explanation:
You need to use the formula for calculate the arc lenght:
[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]
Where "C" is the central angle of the arc in degrees and "r" is the radius.
You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula [tex]arc\ length=2\pi r(\frac{C}{360})[/tex].
Therefore, you get that the measure of the arc length is:
[tex]arc\ length=2\pi r(\frac{C}{360})\\\\arc\ length=2\pi (4in)(\frac{45\°}{360})[/tex]
[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]
Answer:
Pi Inches
Step-by-step explanation:
A person invests 7500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 16200 dollars?
Answers
To determine how long to leave $7500 in the bank at 6% interest compounded semi-annually to reach $16200, use the compound interest formula. Solving for t, time in years, yields approximately 11.9 years for the investment to grow to the desired amount.
Explanation:To calculate how long the person must leave their money in the bank for it to grow from $7500 to $16200 with an interest rate of 6% compounded semi-annually, we'll use the formula for compound interest:
A = P(1 + \frac{r}{n})^{nt}
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the number of years the money is invested for.We are given:
A = $16200P = $7500r = 0.06 (since 6% must be converted to a decimal)n = 2 (because the interest is compounded semi-annually)Our goal is to solve for t, the time in years. Plugging the known values into the formula:
$16200 = $7500(1 + \frac{0.06}{2})^{2t}
Divide both sides by $7500:
2.16 = (1 + \frac{0.06}{2})^{2t}
Now take the natural logarithm of both sides:
ln(2.16) = ln((1 + \frac{0.06}{2})^{2t})
Use properties of logarithms to bring down the exponent:
ln(2.16) = 2t \cdot ln(1 + \frac{0.06}{2})
Divide both sides by 2ln(1 + \frac{0.06}{2}) to solve for t:
t = \frac{ln(2.16)}{2 \cdot ln(1 + \frac{0.06}{2})}
t = \frac{ln(2.16)}{2 \cdot ln(1.03)}
Using a calculator, we find t ≈ 11.9 years. Therefore, the person must leave the money in the bank for approximately 11.9 years to reach $16200.
To the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.
To find the time required for the investment to reach $16200, we can use the formula for compound interest:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Where:
- ( A ) is the amount of money accumulated after ( t ) years.
- ( P ) is the principal amount (the initial investment).
- ( r ) is the annual interest rate (in decimal form).
- ( n ) is the number of times interest is compounded per year.
- ( t ) is the time the money is invested for (in years).
Given:
- ( P = 7500 )
- ( A = 16200 )
- ( r = 0.06 ) (6% interest, converted to decimal)
- Interest is compounded semi-annually, so ( n = 2 )
Step 1 :We need to solve for ( t ):
[tex]\[ 16200 = 7500 \left(1 + \frac{0.06}{2}\right)^{2t} \][/tex]
[tex]\[ \frac{16200}{7500} = \left(1 + 0.03\right)^{2t} \][/tex]
[tex]\[ 2.16 = \left(1.03\right)^{2t} \][/tex]
Take the natural logarithm of both sides:
[tex]\[ \ln(2.16) = \ln\left(\left(1.03\right)^{2t}\right) \][/tex]
[tex]\[ \ln(2.16) = 2t \cdot \ln(1.03) \][/tex]
Step 2 :Now, solve for [tex]\( t \)[/tex]:
[tex]\[ t = \frac{\ln(2.16)}{2 \cdot \ln(1.03)} \][/tex]
[tex]\[ t \approx \frac{0.7693}{2 \cdot 0.0296} \][/tex]
[tex]\[ t \approx \frac{0.7693}{0.0592} \][/tex]
[tex]\[ t \approx 13 \][/tex]
So, to the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.
Classify each number as rational or irrational 0.329 127.5 -89 101
Answers
0.329 is rational, 127.5 is rational, -89 is rational rational
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
Answers
Answer:
He will cover 120 miles.
Step-by-step explanation:
K so provided is a picture of my work. I drew a unit rate table thing. Then off the side i calculated how fast he would need to go in 1 hour. So i could add it correctly. I hope this makes sense, if it doesnt just ask me lol
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the distance to the park is d.
Suppose the speed is s.
Adam takes 4 hours to drive to park.
Applying speed, time , distance formula
[tex]time=\frac{distance}{speed}[/tex]
[tex]4=\frac{d}{s}[/tex]
[tex]s=\frac{d}{4}[/tex] .......................... equation 1
If the speed is 45 faster, time is 2.5 times less, means
[tex]\frac{4}{2.5}=\frac{d}{s+45}[/tex]
[tex]1.6=\frac{d}{s+45}[/tex]
Cross multiply
[tex]1.6(s+45)=d[/tex]
Plugging the value of s from equation 1
[tex]1.6(\frac{d}{4}+45)=d[/tex]
[tex]1.6*\frac{d}{4}+1.6*45=d[/tex]
[tex]0.4d+72=d[/tex]
[tex]0.6d=72[/tex]
[tex]d=\frac{72}{0.6}[/tex]
[tex]d=120[/tex]
So the distance is 120 miles. : Answer
Hope it will help :)
Help please K? cya gtg
Answers
Answer:
Pretty sure its Quadratic
Step-by-step explanation:
Linear, needs to be in a straight line.
Quadratic, involving the second and no higher power of an unknown quantity or variable.
Exponential, (of an increase) becoming more and more rapid.
ruben bought 2 large popcorn buckets and 4 small drinks for 20 dollars. lucia bought 2 large popcorn buckets and 2 small drinks for 14 dollars. how much did the large popcorn cost? the small drink
Answers
Answer:
4$ for large 3$ for a small
Step-by-step explanation:
Answer:
(A) cost of one large popcorn is $4.
(B) cost of one small drink is $3.
Step-by-step explanation:
Given information:
Let the cost one of large popcorn [tex]=P[/tex]
And the cost of one small drink [tex]= D[/tex]
Now according to the given information the equations that can be formed are:
[tex]2P+4D=20\\2P+2D=14\\[/tex]
Now solving the above equation by elimination method:
[tex]4D-2D=20-14\\2D=6\\D=3[/tex]
So, the cost of one small drink is $3
Now, find the cost of one large popcorn is;
[tex]2P+4 \times 3=20\\2P=20-12\\P=4[/tex]
So, the cost of one large popcorn is $4
For more information visit:
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write an equation and find slope for the points (0,8) (6,8)
Answers
Answer:
equation: (8-8) ÷ (0-6)
answer: 0
Step-by-step explanation:
can some please please help me ill mark you as brain!
Answers
Answer:
920
Step-by-step explanation:
Answer:The bottom rectangle is 15 x 20 = 300 square cm.
The top triangle is 1/2 x 20 x (8+8+15) = 1/2 x 20 x 31 = 1/2 x 620 = 310 square cm.
Total area = 300 + 310 = 610 square cms.
what is the total bill if a large pizza is $16.25, tax is 3% and you tip the waiter 20%
Answers
Answer:
You want to leave a 15% tip on a meal that cost $16.25.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $16.25 meal cost is.This is always done by multiplying 0.15 by $16.25, or
0.15 x $16.25=$2.44.
So, the amount of tip you are going to leave is $2.44.
This makes the total cost of your meal (to write on your charge slip or other payment)
$16.25 + $2.44 = $18.69.
Answer:
$19.99
Step-by-step explanation:
16.25 + 3% tax + 20% tip
16.25 * 0.03 = .49
16.25 * .20 = 3.25
16.25 + .49 + 3.25 = $19.99
What is the area of this figure?
Drag and drop the appropriate number into the box.
A = _____ cm²
Answers
Answer:
A = 102 cm^2
Step-by-step explanation:
This figure is a trapezoid. The area is given by
A = 1/2 (b1+b2) *h where b1 is the base and b2 is the top
b1 = 21 b2 = (6+7) and h = 6
A = 1/2 (21+13) *6
A = 1/2 (34)*6
A = 102 cm^2
What is 5,560 round each number to thousands place
Answers
Answer:
6,000
Step-by-step explanation:
every number 5 and over, you round it one number up. if youre rounding the thousands place, look at the hundreds place. if its 5 or over you round the thousands number up one then add the zeros.
Two binomials that are factors of x^2+8x+12
Answers
Answer:
(x+2) (x+6)
Step-by-step explanation:
x^2+8x+12
What 2 numbers multiply together to give you 12 and add together to give you 8
2*6 = 12
2+6 = 8
(x+2) (x+6)
Answer: (x+2) (x+6)
Step-by-step explanation: a p e x
Use the vertical line test to determine if the graph is a graph of a function.
A) Yes
B) No
Answers
Answer:
Step-by-step explanation:
Yes. If the vertical line intersects the graph in only one place for each x value, the graph represents a function; if in two or more places, not.
use the substitution method to solve the system of equations. y=-8x and 4x-y=3
Answers
Answer:
x = 1/4 and y = -2Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2[/tex]
Answer:
x = 1/4 and y = -2
Reduce to simplest form
Answers
the answers 11/6 which can't be reduced
How many times greater is the value of the 2 in 270,413 than the value of 2 in 419,427
Answers
Answer:
the 2 in 270,413 is in the thousandths place. The 2 in 419,427 is in the tenths place
Hopes this helps
Answer:
10,000
Step-by-step explanation:
I did the test
Lorenzo went to the store with $20. He bought some cans of soup for $2 each and a gallon of milk for $3. He had $1 left over.
This equation gives s, the number of cans of soup that he bought.
2s + 3 = 20 - 1
How many cans of soup did he buy?
8
11
7
9
Answers
Answer:
8
Step-by-step explanation:
20-1=19
19-3=16
16/2=8
Answer:
S= 8 Cans Of Soup
Step-by-step explanation:
Starts With- $20
Ends With- $1
20-1=$19
$19 spent in all
Buys gallon/ Or Gallons of milk : 1 Gallon= $3
$19-$3= $16 S=Cans of soup 1 can=$2 $16 ÷ $2= S
2, 4, 6, 8, 10, 12, 14, 16 S= 8 cans $2×8=$16
1, 2, 3, 4, 5, 6, 7, 8
Duke pays $111.60 for his yearly movie pass plus $4.00 for popcorn for each movie.Tenneshia pays $16.40 for a ticket to every movie but she doesn't buy food because she doesn't want to waste the money. In how many movies will they have paid the same amount?
Answers
Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
For Duke expenses we have:
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below
[tex]C = 111.60 + 4.00x[/tex]
Where C represents the cost and x the number of movies.
For Tennessee expenses we have:
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below
[tex]C = 16.40x[/tex]
Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x
[tex]111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9[/tex]
After 9 movies they will have paid the same amount
What is the measure of angle PQR
Answers
Answer:
30 degrees
Step-by-step explanation:
P+Q+R=180
80+70+Q=180
Q=30
PQR = angle Q
Answer:30 degrees!!
Step-by-step explanation:
happy Friday! :) hope this helps!
HELPPP PLEASE!!!!!!!
Answers
Answer:
the first answer is 135
Step-by-step explanation:
Equal to t In terms of w,r and v
Answers
Answer:
[tex]\frac{WR}{v^2} =t[/tex]
Step-by-step explanation:
[tex]W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t[/tex]
Bob bought a solid rubber doorstop to keep the air flowing between the rooms of his apartment.
sides: 1.5 cm, 2 cm, 2.5 cm, 5 cm
What is the minimum amount of rubber used to make the doorstop?
a) 5cm^2
b) 7.5cm^2
c) 32cm^3
d) 33cm^3
Answers
Answer: 5 cm
Step-by-step explanation: If you liked this answer check out my channel Saltygum and subscribe
Someone PLEASE HELP ME!!
Okay so, eight people were asked what the balance of their bank account at the beginning of the past week was and how much it increased or decreased by the end of the past week.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.
Answers
oof did u ever find out the answer...
Answer:
The scatter plot that represents the data that is shown in the table is attached below.
Step-by-step explanation:
The given table represents the balance of bank account at the beginning of the past week was and how much it increased or decreased by the end of the past week.
In the scatter plot, x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.
From the table, it is clear that the points of scatter plot are (4,7), (7,5), (2,3), (3,4), (1,6), (5,3), (6,1) and (4,2).
Therefore the scatter plot that represents the data that is shown in the table is attached below.
what is the classifications of polynomials -gh4i+3g5
Answers
Answer:
The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms
Degree of polynomial: degree of a polynomial is the term with highest of exponent.
Degree of binomial -gh⁴i + 3g⁵ = 6
1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)
2nd term(3g⁵) = (power of g = 5)
the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.
What percent of 22 is 44?
Answers
Answer:50%
Step-by-step explanation:
Whenever you are trying to find the percentage Use this euation for exmaple based off your question it would be
22*100/44
What us 10.5 as a fraction
Answers
Answer:
10 1/2
Step-by-step explanation:\
dont change the whole number part
0.5 is the same as 1/2
so 10 1/2
Final answer:
To convert 10.5 to a fraction, express it as 105/10 and simplify it to 21/2.
Explanation:
When converting the decimal 10.5 to a fraction, we can view the number 10.5 as having one decimal place.
To express the decimal as a fraction, we put the decimal over its place value, which in this case is 10 since there is one decimal place (0.5 is in the tenths place).
Therefore, 10.5 can be expressed as 105/10.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
Thus, the simplified fraction for 10.5 is 21/2.
A sphere has a height of 26. Find the surface area, volume and density (D=m/v , where m is 72)
Answers
Answer:
Surface Area: 2123.72
Volume: 9202.77
Density: 0.0078
Step-by-step explanation:
For a sphere, the height is the diameter.
Also we know the radius is half of the diameter.
Since height is 26, diameter is 26 as well. Thus, radius is half of 26, which is 13.
Formulas:
Surface area of sphere = 4πr^2
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Density = mass/volume
Firstly, the surface area:
[tex]4\pi r^2\\=4\pi (13)^2\\=2123.72[/tex]
Next, the volume:
[tex]\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (13)^3\\\\=9202.77[/tex]
Lastly, density:
[tex]\frac{Mass}{Volume}\\=\frac{72}{9202.77}\\=0.0078[/tex]
*Note: all answers are given as is since no units were given