Answer:
a) 0.2182
b) 0.0691
c) 0.9309
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly b successes on n repeated trials, and B can only have two outcomes.
In which 
is the number of different combinations of b objects from a set of n elements, given by the following formula.
And p is the probability of B happening.
In this problem we have that:
Bin(20,0.2).
This means that 
(a) P(B=4).
(b) P(B≤1).
(c) P(B>1).
Either B is less than or equal to 1, or B is larger than 1. The sum of the probabilities of these events is decimal 1. So
We have that, from b), 
So
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).
We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.
Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
Answer:
Step-by-step explanation:
To calculate the weighted moving average for period 13 with weights 0.4 and 0.3.
P13 = (30.7x 0.4) + (42.0x 0.3)
P13 = 12.28 + 12.60
P13 = 24.88
Answer:
Step-by-step explanation:
2x+6
<3
Callie
