Answer:
<em>b. 0.6024</em>
Step-by-step explanation:
<u>Conditional Probability</u>
Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:
If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula
Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.
Since the probability to pick either coin is one half each, we have
If we had picked the fair coin, the probability of getting heads is 0.5 also, so
If we had picked the unfair coin, the probability of getting heads is 0.32, so
Being A the event of choosing the fair coin, and B the event of getting heads, then
The closest answer is
b. 0.6024
8.5 minutes per mile is equivalent to
17 minutes
----------------
2 miles
and the reciprocal of that is
2 miles
-----------
17 min
Now multiply 26.2 miles by
17 min (17 min)* (26.2 mi)
------------ , obtaining ---------------------------
2 miles 2 mi
This simplifies to (17)(26.2)/2 minutes = 222.7 minutes,
or
222.7 minutes 1 hr
-------------------- * ------------ = 3.7 hours
1 60 min
Answer:
SQUARE= 108 blocks
CIRCLE= 97.97
# OF BUNDLES= 2.05, 3
Step-by-step explanation:
square- find perimeter
- 22.5 x 4= 90ft
- 90ft/10inches
- convert 90 ft to inches> 90 x 12= 1080/10= 108
circle-
- find the circumference= c=2piR
- 2x3.14x13=81.64
- 81.64ft to in = 979.68/10
- =97 rounded
number of bundles = 205/100 =2.05, so 3
Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
