Answer: 9^(x-3) = 9^3
Step-by-step explanation:
Realizing that 729 = 9^3, we can rewrite the equation ...
9^(x -3) = 729
as ...
9^(x -3) = 9^3 . . . . . . matches the second selection
__
Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.
(3^2)^(x -3) = (3^2)^3
3^(2x-6) = 3^6
or, taking the square root, ...
3^(x -3) = 3^3
None of these forms match any answer choices.
_____
The solution will be found by matching exponents:
x -3 = 3
x = 6
Answer:
The probability of selecting two Independents is 
.
Step-by-step explanation:
From the given information it is clear that:
Democrats = 8
Republicans = 5
Independents = 5
Total number of member in the group is
We need to find the probability of selecting two Independents.
According to binomial distribution the total number of ways to select r items form n items is
Total number of ways to select 2 members from 18 members is
Total number of ways to select 2 members from 5 Independents is
The probability of selecting two Independents is
Therefore the probability of selecting two Independents is .
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
$69.24 is the correct answer because 56.75 multiplied by 1.22 is 69.24
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
