Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The standard deviation is the square root of the variance. So
Then
The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Let's solve for all of the ordered pairs...
A. (2,-7)
4x-2y>20
4(2)-2(-7)>20
8+14>20
22>20
True
B. (-2,-7)
4x-2y>20
4(-2)-2(-7)>20
-8+14>20
6>20
Not true
C. (-2,7)
4x-2y>20
4(-2)-2(7)>20
-8-14>20
-22>20
Not true
D. (2,7)
4x-2y>20
4(2)-2(7)>20
8-14>20
-6>20
Not true
A is the correct answer
Answer:
3.5
Step-by-step explanation:
To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y
For this case, when x =1, y=3.5
when x=2, y=7
Taking in case 1, y/x = 3.5/1 = 3.5
In case 2, y/x= 7/2 = 3.5
But you know that the constant of proportionality k is given by;
y=kx------------------------making k subject of formula
y/x=k
Hence in this case, your constant of proportionality is 3.5
Answer:
8.9
Step-by-step explanation:
Expanded form is when you write a number using like the hundreds tens and ones places. Example: 521 = 500+20+1
