Great Job! they are all correct. :)
Good luck in your next tests.
Let's compute the speeds as she goes up and down of the climbing wall. Speed is the ratio of distance to time.
Speed going up = 5 ft/(2min * 60 s/1 min) = 1/24 ft/s
Speed going down = 2 ft/10 s = 0.2 ft/s
Net speed = 1/24 ft/s - 0.2 ft/s = 5/24 ft/s
Using this net speed, we can already calculate for the total time:
Speed = Distance/Time
5/24 ft/s = 26 ft/Time
Time = 124.8 seconds or 2.08 minutes
Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.
so, let's multiply 2/3 by 1 then and check about,
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:

Substitute the value t=5 to find the population in 5 years.

Or if the equation is supposed to have t as an exponent then look below:

Substitute the value t=5 to find the population in 5 years.

This formula is based off the standard formula
so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.