Answer:
Step-by-step explanation:
Probability of an event is given as
P(an event) = no of time event occur / total sample space of event.
Let the total outcome be n,
Then, first situation...
If harry select 12 times, it probability is 12/n.
Second situation
Harry select 8 time, it probability is 8/n
Third situation,
Harry select 4 times, it probably is 4 / n.
Fourth situation
Harry selects 16 time, it probability is 16/n
Then, arranging from the order of highest frequency
Then,
16 / n, 12 / n, 8 / n and 4 / n
Answer:
A
Step-by-step explanation:
The answer is <span>The liquid must be in the cooler fewer than 10 minutes.
</span>
Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
The function is:
f(m) = a - 3 * m (Since the temperature decreases by 3°F each minute m, it has a negative sign)
Let:
m - <span>the number of minutes the liquid is in the cooler.
a - the starting temperature
</span>a = 90<span>°F
</span>
<span>The temperature of a liquid must stay above 60°F:
f(m) > 60
Thus:
</span>f(m) = a - 3 * m
f(m) > 60
a - 3 * m > 60
90 - 3m > 60
90 - 60 > 3m
30 > 3 m
30/3 > m
10 > m
Or m < 10. So the correct answer is The liquid must be in the cooler fewer than 10 minutes.
Answer:
342.24 units²
Step-by-step explanation:
The area of one of the 8 triangular sections of the octagon is ...
A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section
The area of the octagon is 8 times that, so is ...
A = 8·(1/2)·11²·sin(360°/8) = 242√2
A ≈ 342.24 units²
