Answer:
The point estimate for
is 8.5 hours.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem
We are working with a sample of 81 adults, so the point estimae of the mean is the mean number of weekly hours that U.S. adults use computers at home.
So, the point estimate for
is 8.5 hours.
Answer:
welp,more piont for me cuz tats confuzizzng
Step-by-step explanation:
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Hi :")
Answer:
5472
Step-by-step explanation:
a dozen = 12 identical bodies
456 dozen cookies there are
12 x 456 = 5472
Good Luck ;)
#Turkey
Answer:
A. You would first plot the y intercept. The first equation would be (0,-8) and the second equation is (0,-11). Then you would plot the slope. For the first equation, from (0,-8), you would move up 3 plots and right 1 plot. For the second equation, from (0,-11), you would move up 9 plots and right 1 plot.
B. The solution to the pair of inequalities is (1/2, -13/2). That is the intersection and point of the two lines. You would need to graph the two lines (see part A answer) and then find the intersection.
Hope this helps!