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Answer:
22. Perimeter = 52 units
Area = 160 Square Units
23. Notation form :
Standard Form : 200000
Step-by-step explanation:
22.
The formula for perimeter is
P = 2 (length + Width )
= 2 ( 2x+3x+1)
= 2(5x+1)
The Formula for Area of a rectangle is
A= length x width
A=
A=
Now we have to find the Perimeter and Area for x = 5
P = 2(5 x 5 +1)
P= 2(26)
P=52 units
A= 6 x 5 x 5 + 2 x 5
A= 150 + 10
A= 160 square units
23.
A. By using rule of exponents , we can determine that both the results will be same.
B.
Miriam's calculation
Priya's calculation
Standard notation
Given Information:
John's mean monthly commission = μ = $10,000
Standard deviation of monthly commission = σ = $2,000
Answer:
The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?
The z-score corresponding to 0.50 is 0.6915
The z-score corresponding to -0.50 is 0.3085
Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.