Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
This cannot be fit into a normal distribution. While the first 7 runners all have times relatively close, the time of the last runner is an outlier, as it is too far from the other data points. The standard deviation is calculated by taking the mean, subtracting each value from the mean, squaring the deviations, adding these, then dividing by the number of data points (7), and taking the square root. This gives an answer of SD = 0.1107.
Answer:

Step-by-step explanation:

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.



Or, You can simply reduce the fraction with 2, which results to 1.
Hope I helped!
Best regards! :D
Expand the right side:


Notice that 98 = 2 * 7 * 7, so we have
and
.
Then

and

Answer:
$117,000
Step-by-step explanation:
-0% 2004
-7% 2005
-14% 2006
-21% 2007
-28% 2008
-35% 2009
180,000 x 0.35 (35%) = 63,000
180,000 - 63,000 = 117,000
$117,000