The <em><u>correct answer</u></em> is:
Explanation:
An exponential function is of the form
, where a is the initial population, b is 1 plus the amount of yearly change, and x is the number of years.
For our problem, a, the initial population, is 1500.
The yearly change is 6.3%; 6.3% = 6.3/100 = 0.063. Since it is decreasing, this is negative; 1+(-0.063) = 0.937.
We use t as the number of years.
This gives us
Answer:
y = 2x + 1 ;
y - 3 = - 3(x - 1) ; y = - 3x + 6 ;
Step-by-step explanation:
Given the data:
Sidewalk 1:
x __ y
2 _ 5
0 _ 1
Sidewalk 2:
x __ y
1 _ 3
3 _ -3
Equation for sidewalk 1 in slope - intercept form:
Slope intercept form:
y = mx + c
c = intercept ; m = slope
m = (change in y / change in x)
m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2
Y intercept ; value of y when x = 0
(0, 1) ; y = 1
Hence, c = 1
y = 2x + 1
Sidewalk 2:
Point slope form:
y - y1 = m(x - x1)
m = slope
m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3
Point (x1, y1) = (1, 3)
y - 3 = - 3(x - 1)
To slope intercept form:
y - 3 = - 3(x - 1)
y - 3 = - 3x + 3
y = - 3x + 3 + 3
y = - 3x + 6
Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.
Using substitution method :
y = 2x + 1 - - - (1)
y = - 3x + 6 - - - (2)
Substitute (1) into (2)
2x + 1 = - 3x + 6
2x + 3x = 6 - 1
5x = 5
x = 1
From (1)
y = 2(1) + 1
y = 2 + 1
y = 3
Coordinate of the point of intersection = (1, 3)
Thanks for the extra points i most definitely needed it
Step-1 :- Arrange in order
=> 16 , 29 , 40 , 66 , 94
There are 5 numbers , the middle term will be Median .
Here , middle term is = 40 .
40
Hope It helps You. ^_^
Answer:
She is only looking at the data greater that the mean value, thus the proper test recommended in this is to test via the two sided or two tailed test.
Step-by-step explanation:
Following is the error in her test
- <em>She is only looking at if the data were greater than 23.44 years old at time of first marriage </em>and that is what her alternative hypothesis is that she is currently testing would be.
- She would instead need to conduct a two sided test, or a two sided t-test, to get the results that she wants and in that event she would have to instead make her alternative hypothesis not equal to 23.44. This would fix her error in her hypotheses.