Answer:
Step-by-step explanation:
The data is written wrongly. The correct data is:
42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0
Range = largest value - smallest value
Range = 42 - 15 = 27
n = 10
The mean of the set of data given is
Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59
Standard deviation = √(summation(x - mean)²/n
Variance = Summation(x - mean)²/n =
Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329
Variance = 1088.329/10 = 108.8329
Standard deviation = √variance = √(108.8329 = 10.43
Answer:
37 inch
Step-by-step explanation:
Area of ∆ = ½ height x base
210 = ½ x 35 x base
12 = base
Using Pythagoras theorem,
=> hypotenuse = √height² + base²
=> hypotenuse = √35² + 12² = 37
Square root is the answer I believe.
Answer:
a. 18 percent
b. $90 billion
Step-by-step explanation:
a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.
First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment
Difference=13%-4%
Difference= 9%
Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.
Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).
Therefore the the size of the GDP gap in percentage-point terms is 18 percent
b. Calculation to determine how much output is forgone because of cyclical unemployment
Forgone Output :
By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,
Hence,
Output forgone = (18/100) ×$500 billion
Output forgone=0.18×$500 billion
Output forgone=$90 billion
Therefore the Forgone Output is $90 billion
