Answer:
Hi, you didn't include the diagram for this question but please find it in the attachment.
PT = TR = TQ = 12
SQ = PR = 24
m∠QSR = m∠QPR = 23°
m∠STR = m∠PTQ = 134°
m∠SQR = 67°
Step-by-step explanation:
ST = 12 (given)
m∠PRS = 23° (given)
Now for the measures
TQ = ST = 12 (Reason is that point T represents a perpendicular bisector)
PT = TR = 12 (Diagonal SQ and PR are of the same length)
SQ = ST + TQ = 12 + 12 = 24
SQ = 24
PR = SQ = 24
m∠QPR = m∠PRS = 23° (alternate angles)
m∠PSR = 90° (right angle)
m∠QSR = 23° (base angles of an isosceles triangle)
m∠STR + m∠QSR + m∠PRS = 180° (sum of angles in a triangle)
m∠STR + 23° + 23° = 180°
m∠STR = 180° - 46° = 134°
m∠PTQ = m∠STR = 134° (vertically opposite angles)
m∠SQR + m∠QRS + m∠QSR = 180° (sum of angles in a triangle)
m∠SQR + 90° + 23° = 180°
m∠SQR = 180° - 113° = 67°
Answer:
(in tabular format)
<em />
<em>x 1 5 10</em>
<em>p(x) 0.4 0.3 0.3</em>
<em />
Step-by-step explanation:
probability mass function (PMF) gives us probabilities of possibilities of a random variable. It is usually shown in a tabular format with Random Variable (x) in one column and each associated probability [P(x)] in its respective column.
Here, our random variable is the yearly revenues of being "very successful", "moderately successful", and "unsuccessful".
So we can write [in probability notation]:
P(x=10) = 0.3
P(x=5) = 0.3
P(x=1) = 0.4
This, in tabular format would be the probability mass function (PMF).
<em>x 1 5 10</em>
<em>p(x) 0.4 0.3 0.3</em>
Answer:
24 steps
Step-by-step explanation:
Given
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
We can use the formula y2-y1/x2-x1 to find slope given two points. Therefore, we have -1-8/-2-1, getting us -9/-3, or just 3. Hope this helps!
