Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
Answer:
unlimited
Step-by-step explanation:
When we have an equation with 2 variables, and they are of first degree, we can have unlimited number of solutions. The solutions are written as ordered pairs. For any value of x we can find y.
We have that the z-score is defined as z=

where X is the value of the observation, m is the mean of all the observations and sigma is the standard deviation. We also have that the z-score of the ends of the confidence intervals is 2.58 and -2.58. We have then, solving the first equation that :

Substituting the values for z, m and sigma, we have that the upper bound of the confidence interval is 90.32 minutes and that the lower bound is 18.08 minutes. Hence, almost all adults (99%) have a total time of watching TV in this interval.
Answer:
See explanation
Step-by-step explanation:
The lateral surface area of a cylinder is calculated using:

We have that the lateral surface area is about, 80 square inches.
Assuming the radius is 10 inches, then we substitute r=10, π=3.14 and solve for h.

We solve for h to get:

