Answer:
The total value of the given expression is 12.
Step-by-step explanation:
(-2 + 1)² + 5(12 ÷ 3) - 9
First, do the expressions within the parentheses.
(-1)² + 5(4) - 9
Next, simplify the exponents.
1 + 5(4) - 9
Next, multiply 5 by 4.
1 + 20 - 9
Add 1 and 20 together.
21 - 9
Subtract 9 from 21.
12
So, the final answer to this equation is 12.
I would say the best estimate would be either 2 or 6.
Answer:
The likelihood that the professor's socks matched his pants on both days is 0.5625
Step-by-step explanation:
Total no. of pair of socks = 24
No. of black pairs = 18
We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.
So, It is a case of replacement
He always wears black pants.
We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.
So ,Probability of wearing black socks on Monday = 
So ,Probability of wearing black socks on Tuesday =
So,the likelihood that the professor's socks matched his pants on both days = 
Hence the likelihood that the professor's socks matched his pants on both days is 0.5625
Answer:
slope = 0
Step-by-step explanation:
A horizontal line parallel to the x- axis has a slope of zero.
Since the x- axis has a slope of zero, any line parallel to it will also have a slope of zero.