We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
B and D because the domain is the set of X coordinates. (x, y) x is your domain.
Answer:
There is no change.
Step-by-step explanation:
Answer:
16.7% of GMAT scores are 647 or higher
Step-by-step explanation:
The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.
In this problem, we have that the mean 
is 547 and that the standard deviation 
is 100.
a. What percentage of GMAT scores are 647 or higher?
647 is 1 standard deviation above the mean.
So, 50% of the values are below the mean. Those scores are lower than 647.
Also, there is the 34% of the values that are above the mean and are lower than 647.
So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.
The sum of the probabilities must be 100
So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.
Answer:
4,784ft^2
Step-by-step explanation:
Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.
So if the base is a square then the area is 32*32 which is 1,024.
Now for the trangle, the area of a triangle b*h/2.
So b*h is 47*32 which is 1,504.
So 1,504/2 is 752.
So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.
So 3,760 + 1,024 is 4,784.
So the total SA if the pyramid is 4,784ft^3.
