Answer:
angle 2= 52.7° (same as angle 4)
angle 1 and angle 3 = 127.3°
Answer:
The last lines are the final answers, if you need a deeper explanation let me know but I wanted to make sure you understood and got it in time.
Step-by-step explanation:
2(x+4)-3(y+2x)
2x+8-3y-6x
-4x-3y+8
2d+3(4d+2k)-3k
2d+12d+6k-3k
14d+3k
5(4m-2r+7)+4m+3r
20m-10r+35+4m+3r
24m-7r+35
I hope I didn't get anything wrong in a hurry!
Answer:
0.38
Step-by-step explanation:
Let the even that a person has a dog be A. The probability is given 16% this implies:
<em>P(A)</em> = 0.16 ..... (1)
Let the event that a person has a cat denote by B. The probability of B is given to be 32% this implies....
<em>P(B</em>) = 0.32 ..... (2)
Then the event that a person has a dog and a cat will be denoted by A∩B. The probability of A∩B is given to be 10%: This implies:
<em>P(A∩B= = 0.12 .......(3)</em>
The event that someone owns a cat and a dog will denoted by the event <em>A∪B.</em> It is observed that A and B are not disjoint. This implies that the probability of this event is depicted as:
<em>P(A∪B) = P (A) + P(B) - P(A∩B)</em>
Substitute (1) , (2) and (3), in the above, we get:
<em>P(A∪B) = 0.16 + 0.32 - 0.10 = 0.38</em>
