<h3>
Answer:</h3>
c. 27 40.5
<h3>
Step-by-step explanation:</h3>
Step 1 is "read and understand the problem." Step 2 is "read the answer choices."
To choose the correct answer here, you only need to know that exponential growth functions are non-decreasing. The next y-values cannot be smaller than the values already shown.
_____
If you insist on doing some calculation, ...
Comparing adjacent values, you see that the common ratio is 3/2.
- 18 × 3/2 = 27
- 27 × 3/2 = 40.5
Ok, so.
You first need to find the height of the shorts guy's setup. We know that the length of the base is 14.5, and that theta is 46 degrees. The opposite side equals tan46 * 14.5, which is 14.935. 14.935 is the height of the short guy's height. Now onto the other dude. We know that the height of his setup is 4.2 more than the shorts guy, which is equal to 19.13. Finally, to find the angle, theta, of the second guy, we take 19.13 / 14.5 and then take the inverse tangent of that number (1.31) which equals approximately 52.6 degrees.
We have to assume that he does all this with his eyes closed, and so his selections are completely random.
-- There are 26 socks in the drawer all together.
-- 10 of them are black or brown.
-- So the probability that he pulls out
either a black sock or a brown one is
10/26 = 5/13 = about 38.5% .
-- He puts it back, so there are still 26 socks in the drawer.
-- 16 of them are white.
-- So now, the probability of pulling out a white one is
16/26 = 8/13 = about 61.5% .
The probability of the whole process happening
just exactly as you described it is
(10/26) x (16/26)
= (5/13) x (8/13)
= (40) / (13²) = 40/169 = about 23.7% .
Quick check:
We got 38.5% the first time, and 61.5% the second time.
(38.5%) x (61.5%)
= (0.385 x 0.615)
= 0.2367 ==> 23.7% <== yay! that's good enough for me
I believe it is asking for the same number basically written 3 different ways, so it could be 1 1/2, 6/4 and 1.5 because those are all the same number
