Answer: 804 meters
Step-by-step explanation:
Area of a circle = πr²
Radius = 16m
π(16)² = 804.2477193 meters
Answer:
The initial amount in the account is $333.33
Step-by-step explanation:
Here, we want to calculate the initial amount in the account.
Let the initial amount be $x
Mathematically;
Simple interest = PRT/100
where P is the amount deposited = $x
R is the rate = 10%
T is the time = 5 years
Simple interest = Present amount - Principal = $(500-x)
By substituting;
500-x = (x * 10 * 5)/100
100(500-x) = 50x
50,000 - 100x = 50x
50,000 = 100x + 50x
150x = 50,000
x = 50,000/150
x = 333.33333333
Which to the nearest penny ; x = $333.33
Answer:
37.5%
Step-by-step explanation:
12\32 = 6\16=3\8 =0.375
=37.5%
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
