Answer:
it's simple
Step-by-step explanation:
r=d/2
r=12/2
r=6
circumference of circle = 2πr
=2*(3.14)*6
=12*3.14
= 37.68
Answer:
P1 = P2 - ma*t
Step-by-step explanation:
ma= P2-P1/t
we multiply by t both sides of the equation
ma*t = (P2 - P1)*t/t
ma*t = P2 - P1
we sum by P1 both sides of the equation:
P1 +ma*t = P2 - P1 +P1
We ave:
P1 + ma*t = P2
we subtract by ma*t both sides of the equation:
P1 + ma*t -ma*t = P2 - ma*t
finally we have:
P1 = P2 - ma*t
Answer:
The standard error of the sample mean is 0.57
Step-by-step explanation:
we know that
The Standard Error Formula is given by the formula

where:
SE = standard error
s = standard deviation
n = the sample size
In this problem we have

substitute in the formula


Step-by-step explanation:
-1/9 × 3/5 = -1/15
-1/15>-2/15
Answer:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be
.
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is
.
Part of pool filled by Bob's hose in 1 hour would be
.
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be
.
Now, we will add rates of both hoses and equate with
as:




Cross multiply:




Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone:
.
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.