Let's solve for y.<span>6=<span><span>4x</span>+<span>9y</span></span></span>Step 1: Flip the equation.<span><span><span>4x</span>+<span>9y</span></span>=6</span>Step 2: Add -4x to both sides.<span><span><span><span>4x</span>+<span>9y</span></span>+<span>−<span>4x</span></span></span>=<span>6+<span>−<span>4x</span></span></span></span><span><span>9y</span>=<span><span>−<span>4x</span></span>+6</span></span>Step 3: Divide both sides by 9.<span><span><span>9y</span>9</span>=<span><span><span>−<span>4x</span></span>+6</span>9</span></span><span>y=<span><span><span><span>−4</span>9</span>x</span>+<span>2<span>3</span></span></span></span>
The answer is 3x squared -11x-10
Answer:
10.20% probability that a randomly chosen book is more than 20.2 mm thick
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.
So for the book.

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)
This is 1 subtracted by the pvalue of Z when X = 20.2. So



has a pvalue of 0.8980
1 - 0.8980 = 0.1020
10.20% probability that a randomly chosen book is more than 20.2 mm thick