Answer:
8 1/4 inches
Step-by-step explanation:
If the answer were closer to 8 1/2 inches then when measuring to the nearest quarter inch, the answer would have been 8 1/2. Instead the answer was 8 1/4 because the length was closer to 8 1/4 than it was to 8 1/2.
Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:
perc = pnorm (c (70, 100, 130), 100, 15)
(1 - perc)
gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.
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X to the one half power, over x to the three eighteenth power is equal to x to the one half power, divided by x to the one sixth power, which equals x to the power of (one half minus one sixth), or x to the one third power.
<span>The twenty seventh root of the quantity of x to the second times x to the third times x to the fourth equals the twenty seventh root of x to the ninth power which equals x to the one third power. </span>
<span>I cannot say whether Francisco and Ryan started with equivalent expressions but on final simplification they ended up the same. One might reasonably assume they started with equivalent expressions, but who knows if they made any mistakes in their simplifications.</span>
