Answer:
We write the generic form equation:
y = A (b) ^ t
We must use two points in the table to find the constants A and b
We have then:
For: t = 1, y = 55
55 = A (b)
For: t = 2, y = 60
60 = A (b) ^ 2
We solve the system of equations:
We divide both equations:
(60 = A (b) ^ 2) / (55 = A (b))
((60) / (55)) = b
b = 1.091
We substitute in any of the equations:
55 = A (b)
55 = A (1,091)
A = (55) / (1,091)
A = 50.41
The equation that models the problem is:
y = 50.41 * (1.09) ^ t
For t = 29 we have:
y = 613.5996987 (> 600)
Answer:
Assuming the trend continues the environment will not last until the population after 24 years.
Answer:
24
Answer:
Myra: 24.8s (winner)
Byron: 26.3s
Step-by-step explanation:
Myra knocked down 1, so therefore there are 2 points added onto her time and it is now 24.8s.
Byron knocked down 3, so there are 6 points added on for 2 seconds per each hurdle. His time is now 26.3
Answer:
A one-sample t-interval for a population mean
Step-by-step explanation:
As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).
As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.
As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.
There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".
This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1
