Answer: a population
Step-by-step explanation:
Answer:
Choice B.
Step-by-step explanation:
In a parallelogram, there are two pairs of parallel, opposite sides.
In a parallelogram, there are two pairs of congruent, opposite sides.
In a parallelogram, there are two pairs of congruent, opposite angles.
The pairs of opposite congruent angles of this parallelogram are:
<ABC and <ADC
<BCD and <BAD
This problem asks about an angle, but the angle is <BDC.
Notice that <BDC is not one of the 4 angles of the parallelogram mentioned above. <BDC is formed by drawing a diagonal. The statement above about pairs of congruent, opposite angles does not apply to <BDC.
Side DC is parallel to side AB.
Diagonal BD is a transversal to lines DC and AB.
<BDC and <ABD are alternate interior angles of the two parallel sides and the transversal.
Answer:
Choice B.
<BDC is congruent to <ABD; Alternate interior angles are congruent.
Answer:
73.90%
Step-by-step explanation:
Let Event D=Defective, D' = Non Defective
Let Event N=New Machine, N' = Old Machine
From the given information:

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.
i.e. 

Using Baye's Law of conditional Probability

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.
Knowing that cos(45°) = 1/√2 is the way forward.

The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².
Answer:
18.1cm
Step-by-step explanation:
11cm - 4cm = 7cm
16² - 7²
256 - 49 = 207
√207 = 14.387
x = 14.4
√14.39²+11²=√207+121= √328= 18.1cm
AC=18.1cm
I hope this helps ^_^