Answer:
100 is larger, that is your answer.
Step-by-step explanation:
First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x. Since 100 is larger, that is your answer.
I hope this helps.
XYA = (104 -52)/2
52 /2 = 26
the answer is 26 degrees
a) Answer: 0.2 <span>
consider the 4 refrigerators that waschosen out of
the 6. There are 6*5*4*3 ways to choose these refrigerators (not 6choose4,
since refrigerators are distinguishable). Therefore the denominator of our
probability is 360.
The numerator is a bit harder. Consider the first 3
refrigerators that was chosen. 2 were good, 1 was bad. There are 3choose1 = 3
places that the bad refrigerator can go. In each of these places, we count the
number of ways to pick these 3 out of the 6. Since one is good, there are 4
ways (b/c there are 4 good refrigerators) to select the first. Another is also
good, so the number of ways becomes 4*3. The last is bad, and there are 2 bad
ones, so the number of ways to select these 3 becomes 4*3*2. Do not be confused
by the fact that I ordered the above, this is taken care of by multiplying by
the 3choose1 from above. Think of it like 4*3*2 + 4*2*3 + 2*4*3. Regardless,
there is only one choice for the 4th refrigerator: bad. Thus the number of ways
of being able to find the last bad fridge on the 4th test is 3*4*3*2 =
72.
The probability is then 72/360 = 0.2
I did the same method for the probability of searching
the last bad fridge on the nth trial, and they all added to 1, so I'm pretty
sure this is right.
b) Answer: 0.4
This probability is equal to:
P(find on 2nd) + P(find on 3rd) + P(find on
4th)
You know the third term, and the first two you can
find in the same way as I did above. They are 0.06666... and 0.1333333...
c) Answer: 0.5
This is P(find on 3rd) + P(find on 4th)
You know that of the 4 refrigerators left, 3 are
good and 1 is bad. So, P(3) = 1/4, because there is a 1 in 4 chance that you choose
the bad one right away
P(4) = 3/4 * 1/3 = 0.5, since there is a 3 in 4 shot
you select a good one, then a 1 in 3 that you select a bad one. </span>
<span>So P(3) + P(4) = 0.5</span>
Answer:
It's A - F is the midpoint of AA' because Line E G bisects AA'
Step-by-step explanation: :D
Answer:

Step-by-step explanation:
The distance Thomas walked to the nearest gas station is
.
The conversion factor for miles to feet is

So


Hence, Thomas had to walk
to get to the nearest gas station.