Answer:
nice question...
so here we go
3^ -x = 1 / 3^x
so 1/ 3^x = 2 so 3^x = 1/2
we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)
recall that 3^x =1/2
so now according to question we have to find the value of 3^2x = 1/2 * 1/2 = 1/4
Step-by-step explanation:
A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport A, five go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished?
2.44) Refer to Exercise 2.43. Assume that taxis are allocated to airports at random.
a) If exactly one of the taxis is in need of repair, what is the probability that it is dispatched to airport C?
b) If exactly three of the taxis are in need of repair, what is the probability that every airport receives one of the taxis requiring repairs?
So, my answer to 2.44a is 1/9. Hopefully this is correct at least :)
For 2.44b, my guess was
(3C1)(1/3)(2/3)2 * (5C1)(1/3)(2/3)4 * 1/3
The solutions manual on chegg (which seems to be riddled with errors) says something completely different. Is my calculation correct?
What is the mode of this data set? (41,43,3,11,23,24,27,29,45,12,19,22,25)
kodGreya [7K]
Answer:
no mode
Step-by-step explanation:
there is no mode in this data set
this is because there is no number that repeats itself making no number have more quantities than another number
Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:

In this question:

Thus:


Average rate of change:




The average rate of change between x = 2 and x = 4 is of 4.
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➷ In triangles, the longest length would be the hypotenuse.
The rule for Pythagoras states that a^2 + b^2 = c^2
[where c is the hypotenuse]
Therefore, the correct option would be
"No, Ariel should have added 9^2 and 12^2 and compared that to 15^2.
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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