Answer:
247
Step-by-step explanation:
1,4,11,26,57,120. see the pattern that emerges from the series:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
so the next number should be 64+63 = 127+120 = 247.
check: 247–120 = 127; 127–63 = 64 = 2^6. correct.
so the next number is 247. 2^n+(n-1)
I'm not sure exactly which type you are meaning since there are four types of expansions, but depending on which specific type here are your answers! :)
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
Answer:
The correct option is;
A). Randomized block design
Step-by-step explanation:
In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block
The groups can therefore comprise of the following;
Group 1
15 men and 15 women to perform water aerobics for 30 minutes twice a week
Group 2
15 men and 15 women to perform water aerobics for 60 minutes once a week
Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.
The answer is A. You just solve each one and you would find that it would be the same as 3x=-12.
