One form of the relation of inverse variation is y = k/x.
first step: Find the value of k: Taking the values x=5 and y = 4, 4=k/5, or k=20. Then, y = 20/x.
Next: Let y = 7 and find the corresp. value of x: 7=20/x, or 7x=20, or
x = 20/7 (answer)
The only value of p for which the equation has exactly 1 real number solution is p=0.
If p<0, there are no real number solutions and if p>0, there are 2 real number solutions.
Hope this helps,
Brian
Answer:
a. Assume that the population has a normal distribution.
b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
Step-by-step explanation:
Question a:
We have to assume normality.
Question b:
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
.
That is z with a pvalue of
, so Z = 1.645.
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 230 - 10.69 = 219.31 days.
The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.
The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
2 1/5x * 1 7/10 y * 4 3/5 x 1 7/10 (* 7 4/50)
Finds the answer
10 6/50x * 7 41/50y (* 7/4/50) = 56
79 13/100 (* 7 4/50) = 56
560 = 56 (10x)
x = 5 6/10
7 (y) = 56 (7y)
8 = 56/7 (y)
y = 8
x = 5 6/10
6/10 of 560 = 336
336/60 = x
336/60 = 5 6/10
Answer:
28 square centimeters
Step-by-step explanation:
The area of a trapezoid (formula):
(a + b) ÷ 2 x h
Where a & b are the bases, and h is height.
Use formula with given measurements:
(9 + 5) ÷ 2 x 4 = 28
Area is measured in square centimeters
(centimeters in this case)
Therefore the area if the trapezoid is 28 cm^2
I really hope this helps!