Answer:
8
Step-by-step explanation:
i guessed
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer: -43.3
Step-by-step explanation:
We will use the order of operations, sometimes called PEMDAS. <em>See attached for more information on this subject</em>.
Given:
8.7 - (1 + 3)³ + 6 · 2
Simplify parentheses:
8.7 - (4)³ + 6 · 2
Raise to the power of three:
8.7 - 64 + 6 · 2
Multiply:
8.7 - 64 + 12
Subtract:
-55.3 + 12
Add:
-43.3
Answer:
Range: (-∞, 0]
General Formulas and Concepts:
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
When we graph the equation, we should see that our y-values span from -∞ to 0. Since 0 is a closed dot, it is inclusive in the range:
(-∞, 0] or y ≤ 0
Answer:
There is a 95% probability that the portfolio would not loose more than 30% of its value.
Step-by-step explanation:
The confidence interval for proportions (<em>p</em>) is:

The information provided is:

For 95% confidence level the critical value of <em>z</em> is:

The 95% confidence interval for average annual return is:

The lower limit of the 95% confidence interval is -28%.
This implies that the portfolio would not loose more than 28% of its value.
Thus, there is a 95% probability that the portfolio would not loose more than 30% of its value.