Answer:
(a) Having a smashed corner need to now not depend on whether or not the carton had a puncture or not,
so these occasions have to be independent.
One manner to check it the usage of the given probabilities:
If P(A)P(B) = P(A and B), then the events are independent.
Here we have : (0.05)(0.08) which is 0.004, that is P(A and B), so the events are independent.
(b) P(A or B) = P(A)+P(B)-P(A and B) = 0.05 + 0.08 – 0.004 = 0.126
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
This shows that 8 x 9 = 72, making 9 a factor of 72.
Answer:
16,244.26
Step-by-step explanation:
14,187.13 + (14.5% × 14,187.13) =
14,187.13 + 14.5% × 14,187.13 =
(1 + 14.5%) × 14,187.13 =
(100% + 14.5%) × 14,187.13 =
114.5% × 14,187.13 =
114.5 ÷ 100 × 14,187.13 =
114.5 × 14,187.13 ÷ 100 =
1,624,426.385 ÷ 100 =
16,244.26385 ≈
Answer: 24
A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.
the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.
The general equation for the vertical hyperbola is
[ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1
The conjugate axis of the vertical hyperbola is y = k
Length of the conjugate axis = 2b
According to the question k = 2, h = -1, a = 4, b = 12
Length of the conjugate axis = 2b = 2 * 12 = 24
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Answer:
(a) MAE = 5.20
(b) MSE = 10
(c) MAPE = 38.60%
(d) Forecast for week 7 = 14
Step-by-step explanation:
Note: See the attached excel for the calculations of the Error, Error^2, and Error %.
(a) mean absolute error
MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20
(b) mean squared error
MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10
(c) mean absolute percentage error (Round your answer to two decimal places.)
MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%
(d) What is the forecast for week 7?
Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:
Forecast for week 7 = 14