Answer: 
Step-by-step explanation:
Here, According to the question, The population of the world is 4 billion (approx).
Again According to the question, The world's population has grown at an average rate of 1.9 percent per year since 1945.
Therefore, after 1975 the growth rate will remains same.
Thus, the population of the world after t years,
(By the formula
)
⇒
Where 1.019 is the growth rate and 4 billion is the initial population.
Answer:
no. sorry. :(
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:





Total number of ways is then calculated as:


Answer:
<em>The brand name television's dimensions are 32 inches by 64 inches.</em>
Step-by-step explanation:
<u>Scaling</u>
Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.
If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.
12 inches * 8/3 = 32 inches
24 inches* 8/3 = 64 inches
The brand name television's dimensions are 32 inches by 64 inches.