Answer:the mean is 6.1 the mode is 5 and 7.
Step-by-step explanation: the mean is 6.1 because the number add up to 61 and there are 10 numbers 61/10=6.1
The mode is 5 and 7 because they occur most frequently
The answer is 139 cubic yards
This mulch will be of cylindrical shape.
The volume (V) of a cylinder is:
V = l · w · h (l - length, w - width, h - height (in our example, height = depth)
It is known:
l = 125 feet
w = 60 feet
h = 6 inches = 0.5 feet
V = l · w · h = 125 · 60 · 0.5 = 3750 feet³
Since 1 cubic foot is 0.037 cubic yards, 3750 cubic feet are 139 cubic yards:
0.037 · 3750 feet³ = 138.75 cubic yards ≈ 139 cubic yards
Answer:
(x + 4)(2x - 3)
Step-by-step explanation:
Given
f(x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × -12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x- term
2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )
2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term
(x + 4)(2x - 3)
Thus
f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form
Answer:
30
Step-by-step explanation:
When solving the perimeter you add up all the numbers on the outside of the shape