Answer: Carlo is incorrect
Step-by-step explanation:
3000/(2+3) = 600 (each ratio)
2:3 = 2(600):3(600) = 1200:1800
1200/6 = 200 small boxes
1800/20 = 90 large boxes
290 boxes altogether (large and small)
(large boxes/boxes altogether)x100
(90/290)x100 = 31%
31%>30%
Therefore Carlo is incorrect
Answer: 0.058
Step-by-step explanation:
Number of quarters = 15
Number of dimes = 9
Number of nickels = 10
Number of pennies = 6
Total number of coins = 40
The probability of selecting a quarter first will be 15/40 = 3/8
Since it's not replaced, there'll be 39 coins left and the probability of choosing a penny is 6/39 = 2/13
Therefore, P(quarter, then penny) will be:
= 3/8 × 2/13
= 6/104
= 0.058
Answer: x= -1, y=2
Step-by-step explanation:
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or

ancestors.
In the third generation we have 8 ancestors ot

ancestors.
We can see that each succesive generation has two times more members. The sum is:

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>

<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements
For this question:
a1 = 2
r = 2
n = 40
</span>

<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years
c.
Total number of people who have ever lived = </span>

Number of ancestors in 40 generations =

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
This is a sohcahtoa question, in this case itd be cosine. The "cah" part stands for cos(x)=adjacent/hypotenuse. Using numbers it would be cos(x)=4/12. To find x youd have to take the cos^-1 of both sides so x=cos^-1(4/12)