Tanα=h/x
h=xtanα, we are told that x=6.5ft and α=74° so
h=6.5tan74 ft
h≈22.67 ft (to nearest hundredth of a foot)
Answer:
8.08 %
Step-by-step explanation:
Let us denote : 
score X follows a normal distribution with mean 
and standard deviation 
Step 2
The probability that someone scored 21.9 or less is :
Answer : 
Answer:
The probability of both points falling in the same row or column is 7/19, or approximately 37%
Step-by-step explanation:
The easiest way to solve this is to think of it rephrased as "what is the probability that your second point will be in the same row or column as your first point". With that frame of reference, you can simply consider how many other points are left that do or do not fall in line with the selected one.
After selecting one, there are 19 points left.
The row that the first one falls in will have 3 remaining empty points.
The column will have 4 remaining empty points.
Add those up and you have 7 possible points that meet the conditions being checked.
So the probability of both points falling in the same row or column is 7/19, or approximately 37%
Answer:
So, we can do it in 720 ways.
Step-by-step explanation:
We have been given total of six trophies to arrange in the top shelf of the bookcase
If we need to arrange n things in different ways we can do it in n! ways
Similarly, Here we will do it in 6! ways
n!=n(n-1)(n-2).....1
So, 6!=6 x 5 x 4 x 3 x 2 x 1=720
Answer:
a) area = side²
225 in² = side²
side = √225 = 15 inches
b) 15 inches per side x 4 sides x $1.35 per inch = $81.00
Step-by-step explanation:
