Angle Addition Crossword
1 answer:
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Answer:
6.2
Step-by-step explanation:
Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.
Now, you that area for a triangle is 1/2*base*height.
To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:
Height is the same for both triangles so Height total = 4 ft.
Now the total area can be calculated:
Area total= 1/2* base_total * height_total
Area total = 1/2 * 5ft * 4 ft
Area total = 20 / 2 = 10 ft squared
Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.
Area Empty Triangle = 1/2 * base_empty * height_empty
Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared
Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared
Answer:
(a) S = {MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC}
(b) The probability that Roberto and John attend the conference is 0.10.
(c) The probability that Clarice attends the conference is 0.40.
(d) The probability that John stays home is 0.60.
Step-by-step explanation:
It is provided that :
Marco (<em>M</em>), Roberto (<em>R</em>), John (<em>J</em>), Dominique (<em>D</em>) and Clarice (<em>C</em>) works for the company.
The company selects two employees randomly to attend a statistics conference.
(a)
There are 5 employees from which the company has to select two employees to send to the conference.
So the total number of ways to select two employees is:
The 10 possible samples are:
MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC
(b)
The probability of the event <em>E</em> is:
Here,
n (E) = favorable outcomes
N = Total number of outcomes.
The variable representing the selection of Roberto and John is, <em>RJ</em>.
The favorable number of outcomes to select Roberto and John is, 1.
The total number of outcomes to select 2 employees is 10.
Compute the probability that Roberto and John attend the conference as follows:
Thus, the probability that Roberto and John attend the conference is 0.10.
(c)
The favorable outcomes of the event where Clarice attends the conference are:
n (C) = {MC, RC, JC and DC} = 4
Compute the probability that Clarice attends the conference as follows:
Thus, the probability that Clarice attends the conference is 0.40.
(d)
The favorable outcomes of the event where John does not attends the conference are:
n (J') = MR, MD, MC, RD, RC, DC
Compute the probability that John stays home as follows:
Thus, the probability that John stays home is 0.60.