Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
(-3 7following is equivalent
__.
4
Answer:
0.999987
Step-by-step explanation:
Given that
The user is a legitimate one = E₁
The user is a fraudulent one = E₂
The same user originates calls from two metropolitan areas = A
Use Bay's Theorem to solve the problem
P(E₁) = 0.0131% = 0.000131
P(E₂) = 1 - P(E₁) = 0.999869
P(A/E₁) = 3% = 0.03
P(A/E₂) = 30% = 0.3
Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :
= 0.999986898 ≈ 0.999987
Answer:
0.0174 is the answer you are looking for
Answer:
#1: -1.5, -0.5, 1/2, 1.5
#2: -3, -1, 1.2, 2.3
Step-by-step explanation:
#1
First we have to figure out the correct order before we plot.
Find the biggest number:
looking at the number the biggest would be 1.5
Find the smallest number:
Looking at the number the smallest would be -1.5
Now that we have that we can easily figure out the rest...
(Going from least to greatest; like on a number line)
-1.5, -0.5, 1/2, 1.5 (That is how you will place the first one)
#2
(Use the steps from above to find the answer)
Biggest: 2.3
Smallest: -3
Order: -3, -1, 1.2, 2.3 (Placing on number line use that order)
Hope this helps :)
