<span>To find the mean absolute deviation you must use the formula
</span><span>Absolute Deviation = Σ|x - μl / N
x represents score
μ represents mean
Σ represents sum
N represents numbers of scores
1. find mean ( add all values)
add all values / the amount of numbers given
9 + 7 + 6 + 8 + 7 + 5 = 42
42/6 = 7
(I got 6 because there are 6 numbers that are given)
therefore μ = 42 and N = 6
find the distance of each value from that mean (7)
value distance
9 2
7 0
6 1
8 1
7 0
5 3
add the distance
2 + 0 + 1 + 1 + 0 + 3 = 7
divide by the number of values given which is 6
7/6 = 1.166
= 1.2
therefore the mean is 7 and the mean deviation is 1.2
the absolute deviation
since you have the mean which is 7
you have to subtract the values given by 7
|x - μl so the formula is |x - 7l
9 -7 = 2
7 - 7 = 0
6 - 7 = -1
8 - 7 = 1
7 - 7 = 0
5 - 7 = -2
Add all the values
2 + 0 - 1 + 1 + 0 - 2 = 0
so you sub all the values into the formula
</span>Σ|x - μl / N
0 / 6 = 0
Answer:
a) Interest earned = $36
New Balance = $336
b) Interest rate = 0.05 or 5%
New Balance = $517.5
c) time t = 5
New Balance = $612.5
d) Principal Amount = $675
New Balance = $783
Step-by-step explanation:
We are given:
a) Principal (P) = $300
Rate (r) = 3% or 0.03
Time (t)= 4 years
Interest earned = ?
The formula used is:
Putting values and finding interest
So, Interest earned = $36
New Balance = Principal + Interest = 300+36 = $336
b) a) Principal (P) = $300
Rate (r) = ?
Time (t)= 3 years
Interest earned = 67.50
The formula used is:
Putting values and finding rate
So, Interest rate = 0.05 or 5%
New Balance = Principal + Interest = 450+67.50 = $517.5
c) Principal (P) = $500
Rate (r) = 4.5% or 0.045
Time (t)= ?
Interest earned = $112.50
The formula used is:
Putting values and finding time
So, time t = 5
New Balance = Principal + Interest = 500+112.50 = $612.5
d) Principal (P) = ?
Rate (r) = 8% or 0.08
Time (t)= 2 years
Interest earned = 108.00
The formula used is:
Putting values and finding Principal
So, Principal Amount = $675
New Balance = Principal + Interest = 675+108 = $783
The simplified form of expression 4(126) + 76 - 10 is 6 (100 - 5).
<h3>What is a expressions?</h3>
A mathematical expression is a sentence that contains a minimum of two numbers or variables and at least one mathematical operation. Let's learn how to write expressions.
A number is 6 more than half of another number, and that other number is called x. In a mathematical expression, this statement is represented as x/2 + 6. Complex puzzles can be solved using mathematical expressions.
We have been asked to simply the expression
4(126) + 76 - 10
= 4(60 + 66) + 66
= 4(60) + 4(66) + 66
= 4(60) + 5(66)
= 4(60) + 5( 60 + 6)
= 4(60) + 5(60) +5(6)
= 60(4+5) + 6(5)
= 60(9) + 6(5)
= 6(90 + 5)
= 6(95)
= 6 (100 - 5) simplified form
= 600 - 30
= 570
Learn more about expression
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The number will start to increase as the Islamic war starts to comense.
The answer is 18.47%, if not then I’m sorry