Answer: About 3 hours and 5 minutes to paint the room together.
Step-by-step explanation:
Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.
Room/Hour
1/5 ± 1/8 =8/40
8/40+5/40=13/40
How long to paint the room?
13/40 x 1= 40/13
40÷13=3.0777
So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes
Answer:i need help with this also
Step-by-step explanation:
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
⇒
⇒
Now, taking log both sides we get,
y log 1.12 = log 3 {Since,
}
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that 
Samples of n:
This means that the standard deviation is:

What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.