First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
G(x) would involve a translation left 1 and up 1.
g(x) is written in vertex form, which is
g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.