Answer:
The markup percent on the painting is 58.3%
Step-by-step explanation:
Here, The Cost price of the painting = $120
The selling price of the painting = $190
Hence, the total profit on the painting = Cost Price - Selling price
or Profit = $190 - $120 = $70
Now, Markup % = (Gross Profit / cost) x 100
⇒Markup % = 
Hence, the markup percent on the painting is 58.3%
Answer:
a) Option A)
b) Point estimate of difference = -78
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $1,503
Sample mean,
= $1,425
Sample size, n = 25
Sample standard deviation, s = $160
We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
a) First, we design the null and the alternate hypothesis
b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
Point estimate of difference =
Mean annual premium in Pennsylvania - National mean

Thus,
Point estimate of difference = -78
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and
, we want to find a
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that
. Then
.
Then, if
, then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that
. Note that f(5)=14, so this proves that f is continous at x=5.
Answer:
360 hours
Step-by-step explanation:
When trying to find the number of hours out of the number of days someone has been doing something, assuming that she spent all 15 days traveling with no rest, you just multiply however many days (In this case, 15 days) by 24 hours.
This gives us the equation 15 times 24, which then equals 360.
A way I check these is that I divide however many hours I got by 24 and make sure it equals our first number.
We get the equation 360 divided by 24, which does, in fact, equal 15.