The final probability is the weighted average of the playing probabilities calculated over the possible weather options:
P(john practices cello; given that it rains) * P(it rains) +
P(john practices cello; given that it does not rain) * P(it does not rain) =
0.6 * 0.7 + 0.4 * 0.3 = 0.54
The probability is 54%
<span>I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.
I'm pretty sure that by the time you see this problem, you've learned how to find
the
equation of a line that passes through two given points. You have two
points: (2, 100) and (5, 205). The equation of the line through them
is
[ y = 35x + 30 ]. (That's the answer to #8.)
6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)
7). The cost per month is $35. (The slope of the line.)
8). We already did that, up above. [ y = 35x + 30 ].
9). 'x' in the equation is the number of months.
There are 12 months in one year.
y = 35(12) + 30 = $450</span>
Well this is easy, just take the percentage as an actual number and just multiply
26.8% as a number is 0.268 (if you don't know how I got this, just divide that percentage by 100, and a 1.00 is equal to a 100%) and 0.268 * 67.5 is 18.09.
(You can round that)
Now 325% as a number is 3.25 (it's bigger than 100% so its increasing)
3.25 * 78.65 is <span>255.6125.</span>
