Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.
Therefore:
Total length of border = Perimeter of rectangular bulletin board
As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.
Total length of border = 2 ( 2 ) + 2 ( 4 )
Total length of border = 4 + 8
Total length of border = 12 feet
12 > 10
ANSWER:
Therefore, 10 feet of border isn't enough.
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It is 3i.
The square root of -9 is the square root of -1 times the square root of 9.
So: the square root of 9 is 3, and the square root of -1 is called i (this doesn't actually exist, it's just imaginary).
Then, the square root of -9 is 3i.
Complete Questions:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.
a. 40
b. 48
c. 56
d. 64
Answer:
a. 0.35
b. 0.43
c. 0.49
d. 0.54
Step-by-step explanation:
(a)
The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.
Let s be the sample space of all integer not exceeding 40.
The total number of ways to select 6 numbers from 40 is
.
Let E be the event of selecting none of the correct six integers.
The total number of ways to select the 6 incorrect numbers from 34 numbers is:

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is


Therefore, the probability is 0.35
Check the attached files for additionals
I believe the answer is a
Answer:
the first one
Step-by-step explanation: