Answer:
a = 8 * (2)^(2x)
Step-by-step explanation:
There are 2 12hours periods in a day
a = 8 * (2)^(2x)
Key word here, "or"...so you would add the unique probabilities of either together...
P(e)=1/2, P(>4)=3/10 (the numerator is three rather than five because 2 and 4 were already accounted for in P(e)...
P=5/10+3/10=8/10=4/5 (80%)
P=0.8
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
A quadratic in vertex form reads as
(<em>x</em> - <em>a</em>)² + <em>b</em>
where (<em>a</em>, <em>b</em>) is the vertex.
To get the given quadratic in this form, complete the square:
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49
Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :
(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>
So if
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,
then
-2<em>a</em> = -6 → <em>a</em> = 3
<em>a</em>² + <em>b</em> = -40 → <em>b</em> = -49
