The first-serve percentage of a
tennis player in a match is normally distributed with a standard deviation of
4.3%. If a sample of 15 random matches of
the player is taken, the mean
first-serve percentage is found to be 26.4%. The margin of error of the sample
mean is 83.71%.
Answer:
g(-1 )=-1 and g(2)+g(1)=7
Step-by-step explanation:
If g(x) = x^3+x^2-x-2 find g(-1)
if we find g(-1)
we substitute all the x's in the function with -1
-1^3+-1^2-(-1)-2
-1^3 = -1
-1^2 = 1
-1+1+1-2
(two minuses make a plus)
-1+1 = 0
0+1 = 1
1-2 = -1
if x=-1, g(-1) is -1
g(2)+g(1)
substitute the x's in the function with 2 and 1 and add your results
2^3+2^2-2-2
2^3 = 8, 2^2 = 4
8+4-2-2
8+4= 12, 12-2 = 10, 10-2 = 8
g(2)=8
g(1) now
1^3 + 1^2-1-2
1^3=1, 1^2 = 1
1+1-1-2
1+1 = 2, 2-1 = 1, 1-2 = -1
g(3) = -1
g(2) (which equals 8) + g(3) (which equals -1) =
8+(-1) = 7
g(2)+g(3)=7
Answer:
V = 1077.566 units²
Step-by-step explanation:
Assuming this is a cylinder, the formula is (area of base) × (height)
or (πr²)(h), simply plug-in the given values:
= (π(7)²)(7)
= (153.938)(7)
V = 1077.566 units²
Answer:
Step-by-step explanation:
The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).
The slope of side AB is
The slope of side BC is
The slope of side CD is
The slope of AD is
We see that the opposite sides of the quadrilateral ABCD are equal.
Hence the quadrilateral is a parallelogram
