Answer:
480 inches squared
Step-by-step explanation:
The formula for the area of a rhombus is pq/2, where p and q are the diagonals. In the picture, half of a diagonal is 10 (which I am assuming 10 does not represent the whole diagonal), so all of the horizontal diagonal is 20.
Applying the Pythagorean Theorem to this, we get 10^2 + x^2 = 26^2. After simplifying, this becomes 100 + x^2 = 676, and therefore x = 24. Multiply this by 2 to get the full vertical diagonal, the area is simply 48*20/2 which is 480 inches squared.
Answer:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by

Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be

So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation

When converting to centimeters

Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by

where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters

Hence, the z score would remain the same
It would be b; 80 because 0.2 times -80 is -16
Answer:
-3x^2+2xy-4y^2
Step-by-step explanation:
(x^2+xy-3y^2)-(4x^2-xy+y^2)
x^2-4x^2+xy-(-xy)-3y^2-y^2
-3x^2+xy+xy-4y^2
-3x^2+2xy-4y^2