Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit
2 answers:
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The mean and median are descriptive statistics, that describes the center of the data
The correct option that gives the reason for the answer in question number 10 (<em>why the footprint distribution is positively skewed</em>) is the option;
A. <u>Mean > Median</u>
Reason:
<em>Question; The likely table required for the question is presented as follows;</em>
<em>Question 10 is if the variable (footprint) is positively skewed</em>
A positively skewed distribution is one in which the mode is less than the median, which in turn is less than the mean of the data
Mode < Median < Mean
In the given data, we have;
The median = 29.0
∴ Median < Mean (positively skewed distribution)
Median < Mean, therefore, the mean > the median, which indicates that, the footprint distribution is positively skewed
Therefore;
The reason for the above response to question number 10, is the option;
A. Mean > Median
Learn more about mean and median here:
<h3>Answers:</h3>
cups of the 10% sugar solution
cups of the 30% sugar solution
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Work Shown:
x = number of cups of the 10% solution
y = number of cups of the 30% solution
The two mixes add together to get 8 cups since this is the total amount we want. Therefore, the first equation is simply x+y = 8
Solve for y to get y = 8-x. We'll use this equation later.
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The second equation is a bit more tricky.
0.10x = amount of pure sugar from just the 10% batch
0.30y = amount of pure sugar from just the 30% batch
0.10x+0.30y = total amount of pure sugar from both batches
25% of 8 = 0.25*8 = 2 = total amount of pure sugar required
0.10x+0.30y = 2 is the second equation
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Apply substitution to solve for x and y
0.10x+0.30y = 2 ..... start with the second equation
0.10x+0.30(8-x) = 2 ....... plug in y = 8-x
0.10x+2.4-0.30x = 2 ..... distribute
-0.20x + 2.4 = 2
-0.20x = 2-2.4 ....... subtract 2.4 from both sides
-0.20x = -0.4
x = -0.4/(-0.20) ..... divide both sides by -0.20
x = 2
Now that we know the value of x, we can find y.
y = 8-x
y = 8-2 ... plug in x = 2
y = 6
So we need 2 cups of the 10% solution and 6 cups of the 30% solution.
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As a check,
x+y = 2+6 = 8 works out
0.10*x+0.30*y = 0.10*2+0.30*6 = 0.2+1.8 = 2 works out as well