Answer:
<em>See below.</em>
Step-by-step explanation:
First, divide the percent to find the decimal form.

Then, multiply the percentage by the total.

Last, subtract it by the total.

<em>Answer: </em>
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<em>:)</em>
This is one pathway to prove the identity.
Part 1

Part 2

Part 3

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity
in the second to last step. I broke the steps into three parts to hopefully make it more manageable.
Answer:
V = 27.4 in^2
Step-by-step explanation:
Converting to mixed numbers with fractions in decimal format makes this problem easier. 2 1/2 inches is the same as 2.5 inches; 5 1/2 inches is 5.5 inches.
The volume formula is V = L*W*H.
Here, V = (5.5 in)(2.5 in)(2 in), or 27.4 in^2
Answer:
not me
Step-by-step explanation:
Answer:
C.1/6
Step-by-step explanation:
Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;
(number of $5 bills) / (total number of bills)
= (6)/(4+6) = 3/5
If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (5)/(4+5) = 5/9
The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.
Now, the probability of picking a $5 bill in the third attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (4)/(4+4) = 1/2
Since the three attempts are independent, the probability of picking all three $5 bills is;
3/5 * 5/9 * 1/2 = 1/6