Answers
Answer:
comedy = 21.25%
science fiction = 19.58%
drama = 15.83%
action adventure = 22.91%
animation = 20.41%
Step-by-step explanation:
no. of students / total no. of students × 100%
Related Questions
75+ In an academy, there are two batches of students studying for their Green Belt exam. Both batches are instructed to study for 16 hours to prepare for the exam without any variation. You have recorded the time it took for each individual to prepare for the Green Belt exam. To identify the variance in the performance of these two batches, you carry out a 2-Variance test. The results are shown in the given diagram. You have to identify if the variance in study time between the two batches is significantly different. Assume the data is normally distributed. . Testa Method Test normal) Lerene's Test any continua Teat DEL DF2 Statistie Value 1919 0.42 131 0.063 0.074 Since the p-value of F test is greater than 005, it is concluded with 95% confidence that the variance in study time of Batch 1 is significantly different than the variance in study time of Batch 2. Since the p-value of Levene's test is greater than 005, it is concluded with 95% confidence that the variance in study time of Batch 1 is significantly different than the variance in study time of Batch 2. 2. . Since the p-value of F test is greater than 0.05, it is concluded with 95% confidence that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Since the p-value of Levene's test is greater than 0.05, it is concluded with 95% confidence that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2.
Answers
The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.
In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.
The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.
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the price of a phone on sale was increased from $80 to $120. By what percentage was the price of the phone increased?
Answers
Answer:
50% increase
Step-by-step explanation:
120 - 80 = 40
40 = 50% of 80
Answer:
50%
Step-by-step explanation:
120 / 80 = 1.5
1.5 x 100 = 150%
150% - 100% = 50%
Suppose that the interest rate in Canada is 4%, in Japan it is 7%, and financial assets in the two countries are equal in risk. As a result: a. capital will flow from Japan to Canada. b. capital will flow from Canada to Japan. c. capital will not flow between Japan and Canada. d. Japan will export more goods to Canada.
Answers
The, option (a) is the correct answer. Option (b) is incorrect since the higher interest rate in Japan would discourage investment in Canada, rather than attracting it. Option (c) is also incorrect since interest rate differentials are a significant driver of capital flows between countries. Option (d) is not directly related to the question of interest rate differentials and capital flows.
Capital will flow from Japan to Canada.
When interest rates are higher in one country compared to another country, investors will seek to invest in that country to earn higher returns. In this case, the interest rate is higher in Japan (7%) compared to Canada (4%), and financial assets in the two countries are equal in risk. As a result, investors in Japan will seek to invest in Canada to earn a higher return, which will result in the outflow of capital from Japan and the inflow of capital into Canada.
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Suppose that the interest rate in Canada is 4%, in Japan it is 7%, and financial assets in the two countries are equal in risk. As a result, capital will flow from Canada to Japan. The correct option is (b).
To determine the direction of capital flow between countries based on interest rate differentials, we need to consider the concept of interest rate parity.
According to interest rate parity, capital tends to flow from a country with a lower interest rate to a country with a higher interest rate.
In this case, the interest rate in Canada is 4% while in Japan it is 7%. Since the interest rate in Japan is higher than in Canada, according to interest rate parity, capital is expected to flow from Canada to Japan.
It's important to note that this analysis assumes that other factors such as exchange rates, inflation, and market conditions remain constant.
In reality, capital flows can be influenced by a range of other factors, including market expectations, political stability, and economic outlook, which may complicate the relationship between interest rates and capital flows.
Therefore, the correct option is (b.) capital will flow from Canada to Japan.
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Utility Functions and Indifference Curves. (25 pts) (a) Consider the utility function u(x
1
,x
2
). What is meant by a monotonic transformation of the utility function? ( 8 pts) (b) Suppose that u
1
(x
1
,x
2
)=6x
1
+9x
2
. Draw the indifference curves for utility levels u(x
1
,x
2
)=10, u(x
1
,x
2
)=20 and u(x
1
,x
2
)=30. (6 pts) (c) Now consider u
2
(x
1
,x
2
)=2x
1
+3x
2
. Again, draw the indifference curves for utility levels u(x
1
,x
2
)=10,u(x
1
,x
2
)=20 and u(x
1
,x
2
)=30. (6 pts) (d) Is u
1
(x
1
,x
2
) a monotonic transformation of u
2
(x
1
,x
2
) ? Can both describe the same preferences? Explain. (5 pts)
Answers
(a) A monotonic transformation of a utility function refers to a transformation that preserves the relative ranking of utility levels but does not change the underlying preferences. It involves applying a strictly increasing function to the original utility function.
(b) The indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u1(x1, x2) = 6x1 + 9x2. These curves represent combinations of goods (x1, x2) that provide the same level of utility.
(c) Similarly, the indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u2(x1, x2) = 2x1 + 3x2.
(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences, resulting in parallel but equally informative indifference curves.
(a) A monotonic transformation of a utility function is a transformation that does not alter the preferences of an individual. It involves applying a strictly increasing function to the original utility function. This transformation preserves the ranking of utility levels, meaning that if one combination of goods gives higher utility than another in the original function, it will still give higher utility in the transformed function.
b) For the utility function u1(x1, x2) = 6x1 + 9x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent all the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u1.
(c) Similarly, for the utility function u2(x1, x2) = 2x1 + 3x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u2.
(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences. The indifference curves for both utility functions are parallel but equally informative, meaning they represent the same ranking of utility levels. Therefore, u1(x1, x2) and u2(x1, x2) can describe the same preferences.
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Round 249798.828806 to the nearest ten.
Answers
The nearest ten
Answer: the answer is like it is
Step-by-step explanation:
You just round the number in the tenths 0 is closer to 0 then to 10!
plz help
…………………………….
Answers
Answer:
y=-2/9x + 2 2/3
Step-by-step explanation:
kay, first you wanna write out your slope-intercept formula for reference (that's gonna be y = mx +b, m being your slope and b your y inetrcept). Knowing that, you wanna find the informations needed for the equation next. The question tells us that line h is parallel to line g, and remembering that parallel lines always have the same slope, we can already write down that m=-2/9. Next you wanna find the y inetrcept, which is a little trickier, but pretty straightforward none the less. We are given a point through which line h passes, which is (3,2), which gives you the value of y (2) and value of x (3) of said point. Now if we bring back the slope-intercept formula, you can see that both y and x values are in there, and if we plug in the values given from the point into the formula, using basic algebra you can solve for b since it's the only variable left in the equation. Putting that into practice, basically now you're left with 2 = -2/9 * 3 + b. Once you've simplified the equation by multiplying -2/9 by 3, now left with 2 = -2/3 + b, all you have to do is solve for b, which comes down to 2 2/3. Plugging all the info into the formula, you're ultimately left with y=-2/9x + 2 2/3. Hope that helped a little, lemme know if you have any further questions :)).
Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8
Answers
Answer:
\(y=(x-1)^2-9\)
Step-by-step explanation:
\(y=x^2-2x-8\)
To complete the square:
\(\frac{b}{2}=(-1)^2=1\)
\(y=x^2-2x-8\)
\(+9\) \(+9\)
\(y+9=x^2-2x+1\)
\((x-1)^2=y+9\)
\(-9\) \(-9\)
\(y=(x-1)^2-9\)
Please solve. 6(3 + 8) - 4/5
Answers
G'Day mate! Here's the answer:
53 1/3
1. 6(3 + 6) - 4/5
2. 6 x 3 is 18, and 6 x 8 is 48
3. 18 plus 48 is 66
4. 66 - 4/5 = 266/5
5. 266/5 as mixed number is 53 1/5
Answer:
\(\Large \boxed{\frac{326}{5}}\)
Step-by-step explanation:
\(\displaystyle 6(3 + 8) - \frac{4}{5}\)
Solving brackets.
\(\displaystyle 6(11) - \frac{4}{5}\)
\(\displaystyle 66 - \frac{4}{5}\)
Subtract.
\(\displaystyle \frac{66}{1} - \frac{4}{5}\)
\(\displaystyle \frac{66 \times 5}{1 \times 5} - \frac{4}{5}\)
\(\displaystyle \frac{330}{5} - \frac{4}{5}\)
\(\displaystyle \frac{330-4}{5}\)
\(\displaystyle \frac{326}{5}\)
How do you find the scale factor of a dilation with a center of dilation?
Answers
The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A dilation is a stretch or a shrink in the size and location of a figure or point.
The scale factor in a dilation is the amount by which the figure is stretched or shrunk.
The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,
k, the location of the center of dilation, \((x_0,y_0)\) is
\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)
Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
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What is the sin of 0 radians?
Answers
The sine of 0 radians is 0.
In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.
When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.
Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.
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An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Which function can be used to find how much he will charge after working x hours? If f(x) is that function, enter your answer in the form of f(x)=mx+b here:
Answers
Answer:
f(x)=250+150xStep-by-step explanation:
step one:
Given that the fixed fee is $250
and the hourly fee is $150
let the number of hours be x
step two:
Also, let the function to represent the total cost be f(x)
we can represent the total cost in the form of f(x)=mx+b as
f(x)=250+150x
- 8 = -7+k
Step by step
Answers
Answer:
k=-1
Step-by-step explanation:
- 8 = -7+k
+7 +7
k=-1
Scott began printing his history paper at 3:15. At 3:20 he found that it had printed 120 of his 150 pages.
Answers
The time required for Scott to print 150 pages if 120 pages was printed in 5 minutes is 6.25 minutes.
How many minutes will it take Scott to print 150 pages?Starting time of printing = 3:15
At 3 : 20; 120 pages of 150 pages has been printed
Time used to print 120 pages = 3 : 20 - 3 : 15
= 5 minutes
Time needed to print 150 pages can be found by using proportion
120 pages : 5 minutes = 150 pages : x minutes
120/5 = 150/x
cross product
120 × x = 150 × 5
120x = 750
divide both sides by 120
x = 750/120
x = 6.25 minutes
Ultimately, it will take 6.25 minutes for Scott to print 150 pages.
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3/4x+2=9/10 Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer
Answers
Answer:
im not sure if this helps but you can write it with letter like this y = mx + b
Step-by-step explanation:
Consider a situation where your sales have been quite stable in the month, but you have done exceptionally better in the past two days. what trendline is more sensitive to this change?
Answers
The trendline has a positive slope and 3-day moving average is the trendline that is more sensitive to this change.
In this question,
Trendlines are used to give traders a good idea of the direction an investment's value might move. In a healthy trend, it's ideal to enter your trades on a pullback (towards the moving average).
Understanding the direction of an underlying trend is one of the most basic ways to increase the probability of making a successful trade because it ensures that the general market forces are working in your favor.
A moving average is a technical indicator that investors and traders use to determine the trend direction of securities. It is one of the commonly used technical tools best known as trend following or lagging indicator, because it is based on past prices.
The sales have been quite stable in the month, but the sales was exceptionally better in the past two days. If the analyst draws a line between these price points, they have an upward trend and 3-day moving average is the trendline that is more sensitive to this change.
The options for this question are a) 3 days moving average, b) 7 days moving average, c) They are both equally sensitive, d) None of them is sensitive to this change.
Hence we can conclude that the trendline has a positive slope and option (A) 3-days moving average is the trendline that is more sensitive to this change is the correct answer.
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d. what is the confidence interval estimate of the difference between the two population means? (to 2 decimals and enter negative value as negative number)
Answers
The confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means.
To calculate the confidence interval estimate of the difference between two population means, we need to use the formula:
CI = (x₁ - x₂) ± tα/2 ×SE
where x1 and x2 are the sample means, tα/2 is the critical value from the t-distribution table at a chosen level of significance α/2, and SE is the standard error of the difference between the two means.
The confidence interval estimate gives us a range of values within which we can be confident that the true difference between the two population means lies. The margin of error is determined by the critical value and the standard error.
It is important to note that a negative value for the confidence interval estimate indicates that the mean of the first population is smaller than the mean of the second population. Conversely, a positive value indicates that the mean of the first population is larger than the mean of the second population.
In summary, the confidence interval estimate of the difference between two population means is a range of values that we can be confident contains the true difference between the means. The margin of error is determined by the critical value and the standard error. A negative value indicates that the mean of the first population is smaller than the mean of the second population, while a positive value indicates the opposite.
To calculate the confidence interval estimate, we need to obtain two samples from the populations of interest, calculate the sample means and the standard deviation of each sample, and then calculate the standard error of the difference between the means. The critical value is determined based on the level of significance chosen for the test, and the degrees of freedom, which depend on the sample sizes. Once we have all the necessary values, we can use the formula to calculate the confidence interval estimate. The confidence interval is typically expressed as a percentage, with 95% being the most commonly used level of significance.
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Which function has a greater rate of change?
Function A:
x 1.5 2.5 3.5 4.5 5.5
y –5 0 5 10 15
Function B:
y = –4.5x + 15
Function A has a rate change of BLANK and Function B has a rate change of BLANK so Function BLANK has a greater rate of change
Answers
Answer:
5; -4.5; Function AStep-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5Rate of change of function B is:
-4.5 as the slope is the rate of changeComparing the values:
5 > - 4.5Function A has a greater rate of change
Answer:
Answer:
5; -4.5; Function A
Step-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5
Rate of change of function B is:
-4.5 as the slope is the rate of change
Comparing the values:
5 > - 4.5
Function A has a greater rate of change
Q3 A dart is randomly thrown and lands within the boundaries of a 6 foot by 6 foot square. The unshaded regions are each a quarter of an inscribed circle. What is the probability that the dart lands in one of the shaded regions? Express your answer as a common fraction in terms of pi. PLEASE GIVE THE FULL EXPLANATION AND NOT JUST THE ANSWER!!!
Answers
Answer:
\(Pr = \frac{8 - \pi}{8}\)
Step-by-step explanation:
Given
See attachment for square
Required
Probability the \(dart\ lands\) on the shaded region
First, calculate the area of the square.
\(Area = Length^2\)
From the attachment, Length = 6;
So:
\(A_1 = 6^2\)
\(A_1 = 36\)
Next, calculate the area of the unshaded region.
From the attachment, 2 regions are unshaded. Each of this region is quadrant with equal radius.
When the two quadrants are merged together, they form a semi-circle.
So, the area of the unshaded region is the area of the semicircle.
This is calculated as:
\(Area = \frac{1}{2} \pi d\)
Where
\(d = diameter\)
d = Length of the square
\(d =6\)
So, we have:
\(Area = \frac{1}{2} \pi (\frac{d}{2})^2\)
\(Area = \frac{1}{2} \pi (\frac{6}{2})^2\)
\(Area = \frac{1}{2} \pi (3)^2\)
\(Area = \frac{1}{2} \pi *9\)
\(Area = \pi * 4.5\)
\(Area = 4.5\pi\)
The area (A3) of the shaded region is:
\(A_3 = A_1 - A_2\) ---- Complement rule.
\(A_3 = 36 - 4.5\pi\)
So, the probability that a dart lands on the shaded region is:
\(Pr = \frac{A_3}{A_1}\) i.e. Area of shaded region divided by the area of the square
\(Pr = \frac{36 - 4.5\pi}{36}\)
Factorize:
\(Pr = \frac{4.5(8 - \pi)}{36}\)
Simplify
\(Pr = \frac{8 - \pi}{8}\)
Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
2m = 32
m + 2 = 32
m − 2 = 32
m over 2 equals 32
Answers
Answer: the correct answer is 2m = 32
Step-by-step explanation: If Greg earned $32 for washing cars and that was twice as much for mowing lawns, then you will need to divide that amount by 2 to find out what was made.
2m = 32
Divide each side by 2:
2m/2 = 32/2
m = 16
The amount for mowing lawns = $16
Answer:
Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Step-by-step explanation:
HELPP ME PLEASE!!!
(don’t answer just for points or i will report)
Answers
Answer:
callens expression makes sense because they are showing that the five is negative and it is also being multiplied to the set of parenthesis.
demetrius's expression is a simplified version of callens. Using the parenthesis around the -5 shows that not only is that number negative, but it will also be multiplied to the -4 in the parenthesis.
Step-by-step explanation:
i hope this helps :)
help please! step by step if possible
Answers
9514 1404 393
Answer:
use the formula for slope2/3Step-by-step explanation:
The formula for slope (m) of a line between two points is ...
m = (y2 -y1)/(x2 -x1)
Pick two points from the table and fill in the values. Using the last two table entries, we have ...
m = (7 -5)/(5 -2) = 2/3
The slope is 2/3.
Need help with this!
Answers
Electrical energy (E) is measured in kilowatt hours (kwh) using the formula E = P · t, where P is the power in kilowatts and t is the time in hours.
If 66 kwh of electrical energy are created over a period of 11 hours, how many kilowatts of power are used each hour?
Answers
Answer:
6 kw are used each hour
Step-by-step explanation:
E = P t
E/t = P
66 kwh /11h = 6 kw
Which number is divisible by both 3 and 9?
A) 21,369
OB) 27,621
OC) 27.629
OD) 36.663
Answers
Answer:
boi just use a claculator
Step-by-step explanation:
bye luve
Answer: A 21,369
Explanation I got it right on the test :)
What is the coefficient of determination for this data set?
Years after 2000 −20 −12 −9 −4 0 6 8 9 12
Federal minimum wage ($) 3.10 3.35 3.80 4.25 5.15 5.15 5.85 6.55 7.25
Data form U.S. Department of Labor 2012
0.02
0.91
0.95
5.1
What is the equation of the least squares regression line?
Table of variable x and variable y
y=16.9x+0.26
y=0.26x+16.9
y=0.92x+16.9
y=0.26x−16.9
Answers
Answer:
Step-by-step explanation:
how can -6.75+(10.25) be expressed as the sum of its integer and decimal parts
Answers
Answer:
4 + - 0.50 = 3.50
Step-by-step explanation:
-6 +10 = 4
-0.75 + 0.25 = - 0.50
If we know that two angles of one triangle are 112 ° and 39 °, and two angles of another triangle are 39 ° and 29 °, then the two triangles must _____. Select one:a.be equilateralb.be right trianglesc.not be similard.be similar
Answers
Solution
Firstly, we will find the third angles of both triangles,
The sum of angles in a triangle is 180 degrees.
If we know that two angles of one triangle are 112° and 39°
Let the third angle be x
\(\begin{gathered} 112\degree+39\degree+x=180\degree \\ x=180\degree-151\degree=29\degree \\ x=29\degree \end{gathered}\)The third angle is 29 degrees
And two angles of another triangle are 39° and 29°
Let the third angle be y
\(\begin{gathered} 39\degree+29\degree+y=180\degree \\ y=180\degree-68\degree=112\degree \\ y=112\degree \end{gathered}\)The third angle is 112 degrees
Two triangles are similar if their corresponding angles are equal.
Since, their corresponding angles are equal
Hence, then the two triangles must be similar (option d)
Kylie works as a salesperson at an electronics store and sells phones and phone accessories. Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells. On a given day, kylie made a total of $352 in commission and sold 6 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
Answers
The number of phones sold would be 20
And, the number of accessories sold would be 26.
Used the concept of an equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.
And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.
Let us assume that,
The number of phones sold = x
And, the number of accessories sold = y
Hence, the equation becomes,
15x + 2y = 352 .. (i)
And, y = x + 6 .. (ii)
Substitute the value of y in (i);
15x + 2y = 352
15x + 2 (x + 6) = 352
15x + 2x + 12 = 352
17x + 12 = 352
17x = 352 - 12
17x = 340
x = 340/17
x = 20
From (ii);
y = x + 6
y = 20 + 6
y = 26
Therefore, The number of phones sold = 20
And, the number of accessories sold = 26
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If 30% of a bag of Skittles is 12 pieces, how
many skittles are in the entire bag? Put x=
then your answer.
Answers
Answer:
40
Step-by-step explanation:
12 is 30% of 40
30% x X = 12 or 30/100 x = 12
so if you multiply both sides by 100 and divide both sides by 30
we get X = 12 x 100/30
= 40
(BTW if you want to use a calculator just put 12×100÷30 which will give you the answer)
If one-half of a number is 8 less than two-thirds of the number, what is the number?how?
1)24
2)32
3)48
4)54
Answers
Answer:
THEY CALL ME BIG BRAIN JOHNNY
Step-by-step explanation:
8 divide 2 equal 4 times 3 equals 12 times 2 equals 24
BOOM