Answer:
1.17-3.99a
Step-by-step explanation:
You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a
So you can only combine the like terms
Mean is
and a standard deviation is
, then the variable
.
Use substitution
.
This substitution gives you that
.
a. For X=130,
and
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90,
and for X=110,
. Then
(the decimal value is taken from the Standard Normal Distribution Table).
Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area =
× ( sum of the parallel sides ) × height
Area =
× ( 9 + 20 ) × 5
Area =
× 29 × 5
Area =
× 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)
The absolute value would be 18 !