Answer:
A
Step-by-step explanation:
The student wrote a list of six consecutive integers.
The sum of the first integer and the sixth is 1.
Let the first integer be represented by <em>n</em>.
Then the subsequent integer will be (<em>n </em>+ 1).
Therefore, our sequence is:
<em>n, n </em>+ 1, <em>n </em>+ 2, <em>n </em>+ 3, <em>n</em> + 4, and <em>n</em> + 5.
The sum of the first and sixth is 1. Therefore:
Solve for <em>n</em>. Combine like terms:
Thus:
And:
Thus, our first term is -2.
Therefore, our sequence is:
-2, -1, 0, 1, 2, 3
The least of the six integers is -2.
Our answer is A.
We are given
Jim's backyard:
Length is
width is
Since, this is rectangle
so, we can find area of rectangle
Area of one sod:
length is
width is
Since, it is rectangle in shape
so,
Number of pieces of sod:
we can use formula
Number of pieces of sod = (area of Jim's backyard)/(area of one sod)
now, we can simplify it
pieces need ..............Answer
Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235