Answer:
D. a + 4b – 24
Step-by-step explanation:
4(1/4a + b – 6)
distribute
4*1/4a + 4* b -4*6
a +4b-24
Answer:c
Step-by-step explanation:I just put it
<span>P<span>(S∪T)</span>=<span>34</span></span>
Explanation:
We use the following fundamental definition from Probability and Set Theory:
<span>P<span>(A∪B)</span>=P<span>(A)</span>+P<span>(B)</span>−P<span>(A∩B)</span></span>
And if we apply this to our problem we have:
<span>P<span>(S∪T)</span>=P<span>(S)</span>+P<span>(T)</span>−P<span>(S∩T)</span></span>
<span> =<span>13</span>+<span>512</span>−P<span>(S∩T)</span></span>
<span> =<span>34</span>−P<span>(S∩T)</span></span>
Now we are told that S and T are mutually exclusive, and so:
<span>P<span>(S∩T)</span>=0</span>
Hence,
<span>P<span>(S∪T)</span>=<span><span>34</span></span></span>
The top right is a function, because no point cross twice over the y axis
so if you do 1/tan(10) in the calculator you get 5.67128
round the answer as needed