Answer:
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
Take n as 1
From the table:
Take n as 2
From the table:
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
Take n as 1
From the table:
Take n as 2
From the table:
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
Substitute values for g(0) and r
Hence:
The explicit formula is:
Answer:
Step-by-step explanation:
For this case we can calculate all the questions with the following table:
Class Midpoint(Xi) fi Xi*fi Xi^2 *fi
____________________________________
0-3 1.5 6 9 13.5
3-6 4.5 6 27 121.5
6-9 7.5 11 82.5 618.75
9-12 10.5 21 220.5 2315.25
12-25 18.5 5 18 1711.25
_____________________________________
Total 49 431.5 4780.25
We can calculate the expected value with the following formula:
And if we replace we got:
We can calculate the sample variance with the following formula:
And replacing we got:
And the deviation would be just the square root of the variance like this:
Average cost is the ratio of total cost and the number of goods. Hence, for this problem:
Average cost=
So,
Where A(b)= average cost, c(b)= total cost and b= number of candles.
Since, c(b)=250+3b
So, the average cost is
Answer:
the correct answer should be -2.65
Step-by-step explanation:
the mistake is dividing 17y by 15 instead of 17
Answer:
(x-3)² + (y+5)² = 16
Step-by-step explanation:
Radius will be half of diameter means that radius = r = 8/2 = 4.
With Center (h,k) the equation of circle is
(x-h)² + (y-k)² = r²
so by putting values answer will be
(x-3)² + (y+5)² = 4²
(x-3)² + (y+5)² = 16