The graph of an equation with a negative discriminant always has what characteristic
1 answer:
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Answer: The difference is 300 customers.
Step-by-step explanation:
For each week the proportion of customers that like vanilla frozen yogurt is equal to the number of customers that said they like it, divided by the sample (40 for each week)
week 1: p1 = 14/40 = 0.35
week 2: p2 = 18/40 = 0.45
week 3: p3 = 12/40 = 0.3
Then we can calculate the average proportion as:
P = (p1 + p2 + p3)/3 = 0.367
Now, knowing that in a week the shop has about 2500 customers, we can expect that 36.7% of them like the vanilla frozen yogurt,
This is:
N = 2500*0.367 = 916.6
But we can not have a 0.6 of a customer, so we should round it to the nearest whole number, which is 917.
Now, the standard deviation of this will be:
wich is the summation of the squared difference with the mean of each value, divided by the number of repetitions minus one (3 - 1 = 2)
S = 0.075
Then the largest proportion is equal to the mean plus the standard deviation (P + S), and the smallest proportion is equal to the mean minus the standard deviation (P - S):
if we want to calculate the difference between those estimations, we need to calculate:
Diff = (P + S)*2500 - (P - S)*2500 = 2*S*2500 = 2*0.075*2500 = 300
So between the lower and the higher estimations, the difference is 300 customers.
Answer:
1) 1²+2²+3²+4²+5²+6²+7²+8² = 204
2) here the pattern is squares form with only squares of natural number of tiles i.e) 1,4,9.....
3) floor with 10 tiles long, the number of squares = 385
floor with 100 tiles long, the number of squares =338350
floor with N tiles long, the number of squares = ∑ N² =
Step-by-step explanation:
We can make square only using number of tiles which are squares of natural numbers.
so, we need 1, 4, 9, 16 ..... number of tiles to form a square.
Now, if there are N number of squares along one side,
choosing 1 square at a time , we get N² number of squares
choosing 2 square at a time , we get (N-1)² number of squares
and so on...
choosing N square at a time , we get 1² number of squares
so the total number of squares = 1² + 2² +......+ N² = ∑N²
And ∑N² =