Answer:
20 = AC
Step-by-step explanation:
AB+BC = AC
11+9 = AC
20 = AC
Answer: The Mean absolute deviation is 5. The mean is 10.
2 is 8 away from the mean.
5 is 5 away from the mean.
9 is 1 away from the mean.
10 is 0 away from the mean.
17 is 7 away from the mean.
19 is 9 away from the mean
Step-by-step explanation:
Hope this helps!
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Answer: $169
Step-by-step explanation: The expression 25 + 18 x 8 represents the amount she will pay if she participates for 8 months.
Multiply 18 x 8 to find the cost for 8 months. $18 x 8 = $144.
Now add $25 to $144, which equals $169
Answer:
15
Step-by-step explanation:
PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.
The formula is (O + 4M + P) ÷ 6
Where P is the most pessimistic = 29
M is the most likely = 12
O is the most optimistic = 10
Hence we have (10 + [4*12]+ 29) ÷ 6
= (10 + 48 + 29) ÷ 6
= 87÷6 = 14.5 ≈ 15
Rounded figure is equal to 15.
Hence the final answer to the question is 15
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i