Answer:
The years are:
- 1000 BCE, 999 BCE, 888 BCE, 777 BCE, 666 BCE, 555BCE, 444 BCE. 333 BCE, 222 BCE, 111 BCE
- 111 CE, 222 CE, 333 CE, 444 CE, 555 CE, 666 CE, 777 CE, 888 CE, 999 CE, 1000CE, 1011 CE, 1101 CE, 1110 CE,1222CE, 1333CE, 1444CE, 1555 CE, 1666 CE, 1777CE, 1888 CE, 1999CE, and 2000 CE
Explanation:
<u>1. Years BC:</u>
a) Years with four digits:
The first number with 3 equal digits is 1000. After that the years go decreasing: 999, 998, 997, ...
b) Years with three digits:
From 999 to 111, the numbers have three digits, thus the only that are solutions ara 999, 888, 777, 666, 555, 444, 333, 222, and 111: 9 numbers
After that the years have two digits, thus no solutions, with two digits.
Hence, we count 10 different years.
<u>2. Years CE</u>
a) Years with three digits:
- 111, 222, 333, 444, 555, 666, 777, 888, 999: 9 years
b) Years with four digits
i) Starting with 1:
- With three 0: 1000: 1 year
- With three 1: 1011, 1101, 1110: 3 years
- With three digits different to 1: 1222, 1333, 1444, 1555, 1666, 1777, 1888, 1999: 8 years
ii) Starting with 2:
- With three 0: 2000: 1 year
The next one with three equal digits is 2111 and it is after 2020 CE.
Therefore, 9 + 1 + 3 + 8 + 1 = 22 years starting with 2.
<u>3. Total</u>
<u />
10 years BC and 22 years CE have exactly three digits the same: 10 + 22 = 32.
Answer:
D. 100°
Step-by-step explanation:
A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.
50 + 30 = 80
180 - 80 = 100
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
Answer:
the 3rd and 5th one
Step-by-step explanation:
The question is asking to calculate the zeros of the function f(x)=(5x^2+2x)/x, base on that and in my further calculation, the possible answer would be x=5. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications
