Answer:
7/12
Step-by-step explanation:
To subtract fractions, you must make all of the fractions have a common denominator. We can set both of the denominators as 12. To achieve this, you must multiply both sides of 2/3 by 4. This will change the denominator of the fraction, while keeping the fraction equal to 2/3. Doing this will give us 8/12. Now we can subtract. Since the denominators are the same, we only subtract the numerators. Since 8-1 is 7, our answer is 7/12. The denominator does not change.
Simplify brackets
-8a - 6 - 10a - 2 + 5a
Collect like terms
(-8a - 10a + 5a) + (-6 - 2)
Simplify
<u>-13a - 8</u>
Answer:
The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:
Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:
Given:
*Use the <em>t</em>-table for the critical value.
Compute the 99% confidence interval as follows:
Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Answer: 140% change (40% increase)
Step-by-step explanation:
To calculate the change, you can divide the new value (21 books) by the old value (June). This will result in a change of 1.4, which is 140% when you convert it to a percentage (by multiplying by 100). To get the secondary answer («40% increase»), you can subtract 100 to get your percent of change.
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