Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
Answer:
Temperature after 12 hours = 25°C
Step-by-step explanation:
Given:
Current tempreture = -23°C
Tempreture incresing rate = 4°C per hour
Total time = 12 hour
Find:
Temperature after 12 hours
Computation:
Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)
Temperature after 12 hours = -23 + (4)(12)
Temperature after 12 hours = -23 + 48
Temperature after 12 hours = 25°C
Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.
This means that
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. So
has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
3 meters is the same thing as 12/4 meters so divide 12/4 by 3/4 to get 4.
R(x) is a polynomial. Thus, the domain is the same as the range.
Domain = range = ALL REAL NUMBERS.
We can also express the answer as
(-infinity, infinity).