Answer:
Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:
Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So
The equation that models this scenario is:
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
Well the average would change from 85 to 85.4
Answer:
Step-by-step explanation:
n = 10
Mean, m = (32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25)/10
= 28.7
From the information given,
Standard deviation, s = 1.8
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
28.7 ± 1.96 × 1.8/√10
= 28.7 ± 1.12
The lower end of the confidence interval is 28.7 - 1.12 = 27.58 years
The upper end of the confidence interval is 28.7 + 1.12 = 29.82 years
Consider the triangle with vertices S (sink), D (dishwasher) and F (fridge). From the conditions data SD=3, SF=8 and ∠S=48°.
Use the cosine theorem to find unknown distance:
,
feet.
Then the distance between dishwasher and fridge is 6.39 feet.
Are these dimensions reasonable is up to kitchen owner))
