Answer:



Step-by-step explanation:
We have been given a parallelogram. We are asked to solve for the values of x and y.
We know that opposite sides of parallelogram are equal, so we can set equation as:







Similarly, we will solve for y.





To solve for z, we will subtract y from x as:

Therefore, the value of z is negative 3.
Step-by-step explanation:
1st
8x-59 + 2x-11 = 180
10x -70 = 180
10x = 180 + 70
10x = 250
x = 25
2nd
8x - 59 = 15y + 6
8(25) -59 = 15y + 6
200 -59 = 15y + 6
141 = 15y + 6
15y + 6 = 141
15y = 141 - 6
15y = 135
y = 135/15
y = 9
This is how we solved and make the equation.
Stock A = 100
Stock B = 45
For the past months, his stocks inversely decreased.
Stock A = m cents / share
Stock B = n cents * share
So the equation is
= 100 (0.01m) + 45 (0.01n)
<span>= m + 0.45n</span>
Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Let's start first by writing down the given:
σ = 100
sample mean = 450
sample size = 25
These information, plus the fact that we know that the population is approximately normally distributed, would tell us that we can use the
normal distribution curve in analyzing the problem.
A confidence interval of the mean is just a range statistically estimated to contain the population mean. For a 90% confidence interval, we would look at the Z-table and see where 90% of the data falls. We'll notice that it will fall within
1.645 standard deviations of the mean.
Next, we look for the standard error of the mean. This will have a formula

The standard error would just therefore be equal to

Lastly, we just get the product of the standard error and 1.645 and add it to 450 for the maximum value and subtract it to 450 for the minimum value.

ANSWER: 417.1<μ<482.9