Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
Answer:
x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Step-by-step explanation:
Given the relation
- {(6, 8), (7, 10), (7, 12), (8, 16),
(10, 16)}
We know that a relation is a function that has only one output for any unique input.
As the inputs or x-values of the relations are:
at x = 6, y = 8
at x = 7, y = 10
at x = 7, y = 12
at x = 8, y = 16
at x = 10, y = 16
If we closely observe, we can check that there is a repetition of x values.
i.e. x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Answer:
The forecast is accurate within plus or minus 3.2 units
Step-by-step explanation:
Mean Absolute Deviation is a statistical measure of dispersion from forecast. It measures accuracy level of predicted forecast, by averaging the difference between absolute value of each error from forecasted value.
MAD for a forecast states that : Forecast is accurate within the expected range variation of Mean Absolute Deviation.
So : If the MAD for a forecast is 3.2, we can say that - The forecast is accurate within plus or minus 3.2 units
Answer:
24x-8y
Step-by-step explanation:
8 times 3x is 24x and 8 times y is 8y
