They will have same slopes but different Y intercepts.
Answer:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
Given that:
f(x) = abˣ
a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.
Since the bone has a current density of 1,500 kg/m³, hence a = 1500.
The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.
Therefore substituting the values of a and b into the function gives:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
- (i) For cuboid shaped container:
(Given)
- Container is filled with water so the volume of water can be given by the following formula:
- Plugging the values of l, b and h in the above formula, we find:
- (ii) For solid right circular cylinder:
- radius (r) = a cm, h = a cm
- Formula for volume of cylinder is given as:
Answer:
Find out the what does the value 500 represent in this situation .
To prove
As given
The amount of money in a savings account after t years is represented by the function.
Exponential function for amount is given by .
Wher a is the initial value, r is the rate in decimal form and t is the time.
Compare the functions
and
Thus a = 500
Therefor $500 is the initial value .
Answer:
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
This means that we are 95% sure that the true duration of a typical cold(population mean) for all health adults in Georgia is between 6.9 and 8.2, which means that the correct answer is given by option b.
