Shortest to tallest: Plant A, Plant B, Plant C.
Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall
Order from shortest to tallest.
First we need to get the least common multiple of the three fractions.
Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18
Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.
Plant A: 1/3 * 4/4 = 4/12
Plant B: 3/4 * 3/3 = 9/12
Plant C: 5/6 * 2/2 = 10/12
Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest.
4 is less than 9 and 9 is less than 10.
so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
Answer:
see explanation
Step-by-step explanation:
(8)
the common ratio r, of a geometric sequence is
r = 
= 
= ......
r = 
= 
= 8
(9)
The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them
(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)
= 11 + 8 + 5 + 2 = 26
Answer:
Step-by-step explanation:
What you’ll have to do is find the probability of the oranges and the tangerines. There is a total is 15 fruit. 12 of those are not grapefruit. You’ll then have to find the percentage of 12/15.
12 is divided by 15, then multiplied by 100.
12 divided by 15 = 0.08
0.08 x 100 = 80
There is an 80% chance that a grapefruit will not be picked.
Since the events are independent and can be reduced to two outcomes, we can solve it using the binomial formula.
