The element on the position (1,1) in the product matrix FC is a scalar product of the first row in F and the first column in C.
Therefore the element in the position (1,1) in FC will be a scalar product of (-2,0) and (12,1):
The only matrix that has a value of -24 in the position (1,1) is matrix B.
Therefore, the answer is matrix B.
Answer:
70° is your measurement for ∠t.
Step-by-step explanation:
Note that a straight line has an angle of 180°
It is given to us that ∠r and ∠t = 180°, and that m∠r = 110°
Plug in 110 for ∠r
110 + ∠t = 180
Isolate ∠t. Note the equal sign, what you do to one side, you do to the other. Subtract 110 from both sides
110 (-110) + ∠t = 180 (-110)
∠t = 180 - 110
∠t = 70
70° is your measurement for ∠t.
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0.2 I believe would be the correct conversion. if not please feel free to correct me.
(5,6 linear )
(7,8 non linear)
Answer:
a. 74.63%
b. 33.63%
c. 87.67%
Step-by-step explanation:
If 59% (0.59) of the workers are married, then It means (100-59 = 41%) of the workers are not married.
If 43% (0.43) of the workers are College graduates, then it means (100-43= 57%) of the workers are not college graduates.
If 1/3 of college graduates are married, it means portion of graduate that are married = 1/3 * 43% = 1/3 * 0.43 = 0.1433.
For question a, Probability that the worker is neither married nor a college graduate becomes:
= (probability of not married) + (probability of not a graduate) - (probability of not married * not a graduate)
= 0.41 + 0.57 - (0.41*0.57) = 0.98 - 0.2337
= 0.7463 = 74.63%
For question b, probability that the worker is married but not a college graduate becomes:
=(probability of married) * (probability of not a graduate.)
= 0.59 * 0.57
= 0.3363 = 33.63%
For question c, probability that the worker is either married or a college graduate becomes:
=probability of marriage + probability of graduate - (probability of married and graduate)
= 0.59 + 0.43 - (0.1433)
= 0.8767. = 87.67%
