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
Each of the equations can be solved as shown below:
a.
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b.
<em>Add like terms </em>
<em /> (<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em /><em> (Division property of equality)</em>
<em />
c.
d.
<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
Learn more here:
Step-by-step explanation:
The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.
Combine like terms
The second one asks you to divide.
Factor out f(x):
From dividing f(x) /g(x)
To
Cancel like terms since (5x+3) is on top and bottom of fraction.
You get 3x+2
