Answer:
Step-by-step explanation:


In exponent multiplication, if two numbers have same base, just add the exponents
In exponent division, if two numbers have same base, just subtract the exponents
Prime factorize 4 = 2*2 = 2²
4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²
= (2⁻²)* (2³ ÷2⁻⁴)
![= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32](https://tex.z-dn.net/?f=%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3-%5B-4%5D%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3%2B4%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%202%5E%7B7%7D%5C%5C%5C%5C%3D%202%5E%7B-2%2B7%7D%5C%5C%5C%5C%3D%202%5E%7B5%7D%5C%5C%5C%5C%3D%202%20%2A%202%20%2A%202%20%2A%202%20%2A%202%5C%5C%5C%5C%3D%2032)
Answer:
9, 24
Step-by-step explanation:
Given;
Mean= 3
Variance =2
Lets make m, the number of grandchildren of a generation of a certain person. This will make our question to be considerably related to the second generation offspring.
Hence n= 2.
Please kindly go to attachment for detailed step by step solution.
Key:
12 inches = 1 foot
1 inch = 2.54 cm
1. Convert Feet to Inches
5ft(12) = 60 inches + 4 inches = 64 inches in all
2. Convert Inches into Centimeters
64in(2.54) = 162. 56 Centimeters
Answer: <span>162. 56 Centimeters</span>
The randomly selected subject is given bone density test which are normally distributed with mean =0 and standard deviation =1. It means bone density test score is standard normal variable.
The probability that a given score is less than 2.23
P(z < 2.23)
Using z score table to find probability below z=2.23
P(z < 2.23) = 0.9871
The probability that a given score is less than 2.23 is 0.9871
Answer:
Area = 20 ft^2
Step-by-step explanation:
Triangle area is (1/2) Base x Height
Area = (1/2)(5)(8)
Area = 20 ft^2