James will need 115.08mg of medicine at the start of day 6.
First of all, to find out the amount paid for hours in total,
$48-$18=$30
to find how many hours,
$30÷$5=6hrs
Story: Maria is hosting a birthday party for her friend. she handed out 212 balloons for each kid to hold but there was 10 left. X shoes the total amount of balloons.
solving the equation:
x+212=10
-212 +212
x=222
(a) <em>X</em> has a probabiliity density of

If the lower quartile is 5 and the upper quartile is 9, then

Computing the integrals gives the following system of equations:

5 - <em>a</em> = 0.25 (<em>b</em> - <em>a</em>) ==> 0.75<em>a</em> + 0.25<em>b</em> = 5 ==> 3<em>a</em> + <em>b</em> = 20
<em>b</em> - 9 = 0.25 (<em>b</em> - <em>a</em>) ==> 0.25<em>a</em> + 0.75<em>b</em> = 9 ==> <em>a</em> + 3<em>b</em> = 36
Eliminate <em>a</em> :
(3<em>a</em> + <em>b</em>) - 3 (<em>a</em> + 3<em>b</em>) = 20 - 3×36
-8<em>b</em> = -88
==> <em>b</em> = 11 ==> <em>a</em> = 3
and so P(<em>X</em> = <em>x</em>) = 1/(11 - 3) = 1/8 for all 3 < <em>x</em> < 11.
(b)

(c) The distribution function is then
