Full circle
Circumference = 2*pi * r
Circumference = pi * d
Area = pi r * r = pi * r^2
Area = pi d^2 / 4
Half circle
Circumference = pi * r
Circumference = pi * r / 2
Area = pi r^2 / 2
Area = pi d^2/8
The answer depends on what you are looking for and what you are given. But those are the only common formulas I can think of at the moment.
Answer:
Step-by-step explanation:
The range is set of all y-values. The range starts from minimum value to maximum value.
We don't have minimum value (approaching negative infinity.)
We have maximum value at x ≈ 2 equal 6.
Therefore the answer is
-inf <= y <= 6. But we don't usually write that. Instead, we cut out -inf and we get —
Answer: The goal was $500
======================================================
Work Shown:
x% = x/100
175% = 175/100 = 1.75
Let g be the goal, which is the amount of money the club wanted to raise
175% of goal = 175% of g = 1.75g
The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g
1.75g = 875
g = 875/1.75 ....... divide both sides by 1.75
g = 500
The club's goal was to raise $500
Note how 75% of $500 is 0.75*500 = 375
When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.
Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.
Answer:
9.3 hours
Step-by-step explanation:
Given
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
So:
So, we have:
<em></em>
<em> --- approximated</em>
Answer:
0.9792
Step-by-step explanation:
Data provided in the question:
Average gross sales = $1,240
Standard deviation = $180
sample size = 40
Now,
standard deviation of sample average
= 
= 
= 28.46
Now,
z value for 1200 = 
= -1.4,
and,
p value for (z = -1.4) = 0.0808
therefore,
P(average < $1200) = 0.0808
Thus,
probability that the average over the next 40 weekdays will exceed $1,200
= 1 - 0.808
= 0.9792
