Answer:
A. 76
B. x^2 +21x + 96
C. x^2 - 9x + 6
Step-by-step explanation:
For this problem, just plug in the number in f(x) for x in the function.
A. f( 5 ) -> Plug in 5 for every x and then simplify
(5)^2 + 9(5) + 6
= 25 + 45 + 6
= 76
B. f( x+6 ) -> Plug in (x+6) for every x and then simplify
(x+6)^2 + 9(x+6) + 6
x^2 + 12x +36 + 9x+ 54 + 6
x^2 +21x + 96
C. f( -x ) -> Plug in -x for every x and then simplify
(-x)^2 + 9(-x) + 6
x^2 - 9x + 6
Answer:
the answer is 2 + the square root of i forgot
Step-by-step explanation:
Your absolute value cannot be negative.
Answer:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
.
For this problem, we have that:
8 out of the 20 teams in the sample had a season winning percentage better than 0.500. This means that 
.
95% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Answer:
504 cm squared
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face.
Find the area of the base by multiplying base length by base length.
Here the base is 12 x 12 = 144.
Find the area of each triangle face by multiplying 1/2 * b*h.
Here the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
