Answer:
see image
Step-by-step explanation:
I did two different problems depending on whether the 4 beside the log is a base or not.
If the log IS the base, I got x = 1 as you did. But if the 4 is not the base then there is no base written and that means the base is 10.
For log problems that have log on one side of the equation only, then a good strategy is to change the equation from logarithmic form to exponential form. See image for work. Hope this helps.
Answer:
Average speed of go cart is 217.07 meters per minute.
Step-by-step explanation:
We are given the following in the question:
Length of straightway racetrack = 100 m
Diameter of semicircular end = 40 m
Radius =
Perimeter of racetrack =
Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle
Speed =
Thus, average speed of go cart is 217.07 meters per minute.
In this problem, the given values are:
x = average = 30.4
s = standard deviation = 7.1
n = number of samples = 25
Degrees of freedom = n -1 =24
Using the t-distribution table for a normal curve at 90% CI, we get t-crit:
t-crit = 1.711
Now the Margin of Error (E) is calculated as:
E = t-crit*(s/ )
By substituting the known values into the equation:
E = 1.711 * (7.1/ )
E = +- 4.30
Therefore, the margin of error is 4.36. Hence, the commute time is between 26.1 minutes and 34.7 minutes.
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