Two corresponding angles are congruent implies the two lines are parallel. This is the definition of the converse of the corresponding angles theorem.
Answer:
0.1151
Step-by-step explanation:
Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.
If X is the battery life then X is N(9.5, 0.5)
(we convert into one unit for calculations purpose here hours)
a) the probability that the battery life is at least 10.1 hours
=
we get the probability that the battery life is at least 10.1 hours is 0.1151
Answer:
53&8
Step-by-step explanation:
38-23=15
23+15+15=53
23-15=8
Answer:
A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
Step-by-step explanation:
The only thing that has changed is that x^2 is multiplied by 5.
If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.
If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.
Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
Hope this helps!
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:

The vertex ( turning point ) or maximum/minimum point is given as:

The profit maximizing selling price of widgets would be x = $34.45.