Frank stands 400 feet from the base from the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of
2 answers:
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This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way:
.
Parameter a presents initial amount.
Parameter r is percentage increase.
Parameter t is time.
An equation that would describe given problem is:
t is the time in years.
I attached the graph of this function.
Parameter a presents initial amount.
Parameter r is percentage increase.
Parameter t is time.
An equation that would describe given problem is:
t is the time in years.
I attached the graph of this function.
Finding the equivalent multiplier, it is found that the function for the final price is:
P(x) = 0.68x.
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- There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.
- Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
- The equivalent multiplier is:
- Thus, the function for the final price is:
A similar problem is given at brainly.com/question/16999193
use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:
Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:
On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:
Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:
Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769