People who picked up vanilla cupcakes = 80% x 53
<u> 80% x 53 = 0.8 x 53 = 42 people </u>(nearest whole number)
42 people picked vanilla cupcakes
Volume of a sphere = 4/3πr³
<u>4/3πr³ = 4/3π(7)³ = 1436.8 cm³</u>
The volume of the sphere is 1436.8 cm³
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
= s/
= s
root 2 and root 2 gets cancel
8 = s
What part do you have trouble with
Answer:
Do you want to be extremely boring?
Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?
is a valid solution.
Want something more fun? Why not a parabola?
.
At this point you have three parameters to play with, and from the fact that
we can already fix one of them, in particular
. At this point I would recommend picking an easy value for one of the two, let's say
(or even
, it will just flip everything upside down) and find out b accordingly:
Our function becomes
Notice that it works even by switching sign in the first two terms: 
Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: 
Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need
, and at that point the first condition is guaranteed; using the second to find k we get 

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

Sky is the limit.
Answer:
1000(1/20000) +
300(2/20000) +
10(20/20000) +
=
1800/20000 = .09
Step-by-step explanation:
Each ticket purchased is expected to win 9 cents
Each ticket purchased cost 75 cents
If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents.