Answer:
With base of 3: 
With base of 9: 
Step-by-step explanation:
Use 3 and 9 as the base of the power.

Answer:
46.125 square feet or
sq. feet.
Step-by-step explanation:
The rug is shaped like a parallelogram with a base of
feet. and a height of
feet.
Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.
Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)
Given Information:
Mean time to finish 400 meter dash = μ = 65 seconds
Standard deviation to finish 400 meter dash = σ = 2.5 seconds
Confidence level = 95%
Required Information:
95% confidence interval = ?
Answer:

Step-by-step explanation:
In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
The confidence interval for 95% confidence limit is given by

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.




Therefore, the 95% confidence interval is between 60 to 70 seconds
What does it mean?
It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).
Answer:
±sqrt( H *f•c)= L
Step-by-step explanation:
H=L^2/f•c
Multiply each side by fc
H *fc=L^2/f•c * fc
H *f•c=L^2
Take the square root of each side
±sqrt( H *f•c)= sqrt(L^2)
±sqrt( H *f•c)= L
Answer:
- team: 8 kph
- current: 4 kph
Step-by-step explanation:
The downstream speed is ...
speed = distance / time
speed = 36 km/(3 h) = 12 km/h
The upstream speed is ...
12 km/(3 h) = 4 km/h
__
If b and c represent the speeds of the boat and current, respectively, then we have ...
b + c = 12
b - c = 4
Adding these gives ...
2b = 16
b = 8
c = b -4 = 4
The rate of the rowing team in calm water is 8 km/h; the rate of the current is 4 km/h.