Answer:
C. In eight years the computer will have no value.
A. When new the computer was worth $3,000.
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
The z-score for a normal distribution is calculated using the formula:
.
From the question, the distribution has a mean of 50.
and the standard deviation is
.
For a z-score to be negative, then,
.
.
.
.
.
.
Any value less than 50 will produce a negative z-score
Answer:
(1,-8)
Step-by-step explanation:
We were given three vertices of a parallelogram to be:
(3,-2), (-1,-4), (5,-6).
After plotting the points as shown in the attachment, we realize (3,-2) and (-1,-4) form a diagonal.
The midpoint of this diagonal using the midpoint formula is
is
Recall that, the midpoint of both diagonals are the same.
Let the fourth point have coordinates (x,y).
Then using the midpoint formula again with (3,-2), we have:
This implies that:
and
and
x=1 and y=-8
The coordinates of the fourth point are:
(1,-8)
In order to combine, you have to multiply the top equation by 2
so you get
8g + 10h = 8
8g - 10h = 4
---------------
16g = 12
g = 3/4 --> plug it in to solve for h
8(3/4)-10h = 4
6-10h=4
10h=2
h=1/5
Your result: g=3/4, h=1/5
Answer: The figures are attached.
Step-by-step explanation: Given that there is a rectangular garden of area 48 square yards. We need to draw an label two possible rectangular gardens with different side lengths having the same area.
In the attached figure (a), we draw rectangular garden ABCD, where length is 8 yards and breadth is 6 yards, so that area is 48 sq. yards.
In the attached figure (b), we draw rectangular garden EFGH, where length is 12 yards and breadth is 4 yards, so that area is 48 sq. yards.
Thus, the possible rectangles are of dimensions 8 × 6 sq yards and 12 × 4 sq. yards.