Just do how many minutes are in a hour and do that for 2days but 24 times two
Step-by-step explanation:
∫ (sin(3x) + 2x) dx
∫ sin(3x) dx + ∫ (2x) dx
-⅓ ∫ -3 sin(3x) dx + ∫ (2x) dx
-⅓ cos(3x) + x² + C
Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
Answer:
Explained below.
Step-by-step explanation:
Denote the variable as follows:
M = male student
F = female student
Y = ate breakfast
N = did not ate breakfast
(a)
Compute the probability that a randomly selected student ate breakfast as follows:
(b)
Compute the probability that a randomly selected student is female and ate breakfast as follows:
(c)
Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:
(d)
Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:
(e)
Compute probability of the student selected "is male" or "did not eat breakfast" as follows:
(f)
Compute the probability of "is male and did not eat breakfast as follows:
