a.

is a proper joint density function if, over its support,
is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require

b. Find the marginal joint density of
and
by integrating the joint density with respect to
:


Then


c. This probability can be found by simply integrating the joint density:


This is a pythagorean theorem problem therefore a^2+b^2=c^2
a=8, b=?, c=10
8^2+b^2=10^2
64+b^2=100
100-64=56
square root of b^2=square root of 56
b=2 rad14
2 rad14 +4=
2 (rad14 + 1)= ANSWER
Answer:
Step-by-step explanation:
f(x) = 1.8x is a linear function and does not model the growth of bacteria. Perhaps you meant f(x) = 1.8^x, which is an exponential function whose initial value is 1. Please ensure that you have copied down this problem exactly as it was presented.
Answer:
127.80
Step-by-step explanation:
14 ÷ 51.10 = 3.65
3.65 × 35 = 127.75
127.75 = 127.80 (rounded off)
Answer: 8.85 rounded to the nearest hundredths place is 8.85
Step-by-step explanation:
The hundredths place is at 0.0x <--(where the x is).
So rounding from the thousandths to the hundredths is 
Simply put, 8.85 is rounded to the nearest hundredths itself already.
Rounding to the nearest <em>10th </em>place however, would give you 8.9.
Hope this helps!