Answer: Average change in sea lion's altitude per minute is 90.05 meters per minute.
Explanation:
Since we have given that
Height at which a sea lion dove from the water surface at sea level = (-)216.12 meters
We'll neglect the negative sign while finding the value of average rate of change.
Time taken to reach the above altitude = 2.4 minutes
So, Average change in the sea lions altitude per minute is given by
Hence, average change in sea lion's altitude per minute is 90.05 meters per minute.
Answer:
Step-by-step explanation:
Two things to note;
1. Since there's only one 2 or hearts and one 3 of clubs
2. The first card is replaced after it's drawn
Probability of 2 of hearts = 1/52
Probability of 3 of clubs = 1/52
They both have the same probability of being drawn.
Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
We are told that the length l is 2 more than twice the width w. In other words:
Also, we are given that the perimeter is 28. Therefore:
Distribute:
Combine like terms:
Subtract 4 from both sides:
Divide by 6:
So, the width is 4.
And the length is 2 more than twice the width. Thus:
The length is 10.
And we are done :)
Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%
Step-by-step explanation:
Since the nightly cost of hotels in a certain city is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the nightly cost of hotels.
µ = mean cost
σ = standard deviation
From the information given,
µ = $180.45
σ = $24.02
The probability that a hotel in the city has a nightly cost of more than $200 is expressed as
P(x > 200) = 1 - P(x ≤ 200)
For x = 200,
z = (200 - 180.45)/24.02 = 0.81
Looking at the normal distribution table, the probability corresponding to the z score is 0.79
Therefore,
P(x > 200) = 1 - 0.79 = 0.21
The percentage of hotels in the city have a nightly cost of more than $200 is
0.21 × 100 = 21%