F(x) = 4 - x² g(x) = 6x
(g - f)(x) = g(x) - f(x)
(g - f)(3) = g(3) - f(3)
g(x) = 6x
g(3) = 6*3 = 18
f(x) = 4 - x²
f(3) = 4 - 3² = 4 - 9 = -5
(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23
(g - f)(3) = 23
Answer:
The number of construction workers is the independent variable.
Step-by-step explanation:
The time it takes to finish the building depends on how many people work on it. So, the time it takes is the dependent variable, which depends on how many people work on it, which is the independent variable.
Answer:
Using the lengths of the sides, label the lengths of each side, the base, and the height. Then, use the equation Area = ½ base times height to find the area.
Answer:
yes you are correct
Step-by-step explanation:
6 times 6 times 6 times 7 times 7 times 7 is 74088
Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and
be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:

#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:

#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.