Answer:
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Step-by-step explanation:
We have the population's standard deviation, so we can find the normal confidence interval.
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 the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons
The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Answer:
2/5
Step-by-step explanation:
move down 2, and over 5, you get the next point
Answer:

Step-by-step explanation:
We have been given that the vertices of a triangle are A (5, 0), B (x, y) and C (25, 0). We are asked to find the area of the given triangle.
We will use area formula for triangle with vertices A, B and C as given below:

Upon substituting the given coordinates of points A, B and C in above formula, we will get:






Therefore, the area of the given triangle would be
.
Let d = Darlene's dog's weight
let l = Leah's dog's weight
d = 5l
d + l = 84
so, 5l + l = 84, which means 6l= 84
so, l = 84/6 = 14d = 5(14) = 70
<span>Darlene's dog = 70 lbs, Leah's dog = 14 lbs</span>
Answer:
400 feet long
50 feet wide
Step-by-step explanation:
Length = l
Width = w
2l + 2w = 900
l = 8w
Plug the l from the bottom equation into the top equation
2 x 8w+ 2w = 900
16w = 900
Divide both sides by 16
16w/16 = 900/16
w = 50
The width is 50 feet
Now plug the new w into one of the original equations; we'll use the bottom one
l = 8(50)
l = 400