Luanda wants to buy a box of cereal. Which box has the lowest cost per ounce? Group of answer choices 20-oz box for $3.20 10-oz
1 answer:
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Answer:
135 minutes
Step-by-step explanation:
Let
y -----> the number of pages to finish reading the book
x ----> the number of hours
we know that
The linear equation in slope intercept form is equal to
where
m is the unit rate or slope of the linear equation
b is the y-intercept or initial value
In this problem we have
<em>Xanthia</em>
----> the slope is negative because is a decreasing function
For y=0
substitute and solve for x
---> Xanthia's time to finish reading the book
<em>Molly</em>
----> the slope is negative because is a decreasing function
For y=0
--- Molly's time to finish reading the book
To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time
Convert to minutes
Multiply by 60
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:
For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:
which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):