Answer:
-12(y-4x)
Step-by-step explanation:
-12y+48x=-12(y-4x)
<u>We are given:</u>
The time-traveller has 79 books, but he can only take 5 books
since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter
Hence, we will use combination
<u>Finding the number of ways:</u>
Since we will use combination, ₇₉C₅
We know that the formula for combination is (n!) / (r!(n-r)!)
₇₉C₅ = 79! / 5!(74!)
₇₉C₅ = 22,537,515
Therefore, the time traveller can choose 5 books in 22,537,515 different ways
To find the sum of interior angles, subtract 2 by the number of sides and then multiply the difference by 180.
180 (8-2) = 180(6) = 1080.
1080 is the sum of the interior angles of an octagon
Hope this helps :)
Answer:
The answer is 3 3/4
Step-by-step explanation:
First, you have to find a common denominator. 4 and 6 both can first into 12, so 12 is the common denominator. Then you subtract.
Answer:
A one-tailed hypothesis will be used to perform the test.
Step-by-step explanation:
The purpose of the marketing research consultant hired by Coca-Cola is to determine whether the the proportion of customers who prefer Coke to other brands is over 50%.
The marketing research consultant selected a random sample of <em>n</em> = 200 customers. The sample proportion of people who favored Coca-Cola over other brands was 55%.
The marketing research consultant can perform a single proportion hypothesis test to determine whether greater than 50% of customers prefer Coca-Cola to other brands.
Since we need to determine whether the population percentage is greater than a null value, the hypothesis is not two-tailed.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people who favor Coca-Cola over other brands was 55%, i.e. <em>p</em> = 0.50.
<em>Hₐ</em>: The proportion of people who favor Coca-Cola over other brands was more than 55%, i.e. <em>p</em> > 0.50.
Thus, a one-tailed hypothesis will be used to perform the test.
