Answer:
|-45|
Step-by-step explanation:
In mathematics, the absolute value of a real number is the numeric value of the number, regardless the sign, either this is positive or negative.
The absolute value function can be definied as:
- |a|=a si a ≥0
- |a|=-a si a <0
Using this definition, we have:
|-21| = -(-21) = 21
|14| = 14
|30| = 30
|-45| = -(-45) = 45
Therefore, the expression |-45| has the greatest value.
Because these are on opposite sides of the parallelogram, x + 33 = 4x + 9.
This gives you x = 8; OL = 41, NM = 41.
Answer:
y = 3/4x
Step-by-step explanation:
We need to find the slope of the line
We have point (0,0) and point (4,3)
m = (y2-y1)/(x2-x1)
= (3-0)/(4-0)
=3/4
The y intercept is 0 since it crosses the y axis at 0
The slope intercept form of the line is
y = mx+b
y = 3/4x +0
y = 3/4x
The volume of the rectangular prism is

Where:
B is the base area
H is the height
Since the base area is 160 feet^2
Since the volume is 1360 feet^3
Substitute them in the rule above

Divide both sides by 160 to find H

The height of the container is 8.5 feet
Answer:
6.0520
Step-by-step explanation:
Given that:
Mean = 5.85
Standard deviation = 0.24
Let N denote the 80th percentile.
P(X < N) = 0.8

Using the Excel formula: = NORM.INV(0.8,5.85,0.24)
The 80th percentile for the diameters of mandarin oranges:
= 6.0520 (to 4 decimal place)