The y intercept is 3 because that is where the point aligns to the axis
Answer:
$ 2263
Step-by-step explanation:
In this case to calculate the standard error of the mean, we only need the standard deviation (sd) and the number of the random sample (n).
sd = 13000
n = 33
SE = sd / (n ^ (1/2))
replacing:
SE = 13000 / (33 ^ (1/2))
SE = 2263.01
What the standard error of the mean for a random sample of 33 first-year lawyers means is $ 2263
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
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x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.
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<em>Additional comment</em>
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:
h(t)=16t^2-64t
the maximum height will be calculated as follows;
h(t)=16t(t-4)
therefore:
t=0 or t=4
h(4)=-64(4)+16(4^2)
=0
