Answer:
Step-by-step explanation:
Variance is the sum of squares of all items x from mean. i.e
Variance =
Being the sum of squares variance can never be negative irrespective of mean being negative.
Std deviation is the square root of variances. This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.
Hence option d is right.
Hey there!
To find the area, we multiply the length by the width! The carpet will cover the area of the room.
24×15=360
But, the carpeting is sold in square yards, not feet. There are three feet in a yard, which means that one yard is 1/3 feet. Since we have 360 square feet, we will divide it by three to get yards.
360/3=120
Therefore, the office would need 120 square yards of carpeting.
Have a wonderful day!
One jug would be full and the other jug would half to be 1/4
Answer:
Hi!
To begin solving we need to isolate the variable.
To do that we can subtract 4 from both side
3x -4 = 13 - 4
Simplified it would be
3x = 9
Now we need to continue to isolate the variable.
To do that we divide both sides by 3
3x/3 = 9/3
Simplified it would be
x = 3
~Courtney
Answer:
-11
Step-by-step explanation:
If we call x the least integer, then x + 1 is the next integer, and x + 2 is the greatest integer.
x (x + 1) (x + 2) = -1716
x (x² + 3x + 2) = -1716
x³ + 3x² + 2x = -1716
x³ + 3x² + 2x + 1716 = 0
That's not an easy equation to factor. We could use rational root test, but that would take a long time. However, we can narrow down the options logically. The three integers are relatively close together, so if we approximated the product as x³:
x³ ≈ -1716
x ≈ -11.9
So let's see if x = -12 is a solution:
(-12)³ + 3(-12)² + 2(-12) + 1716 = 396
Nope. Let's try x = -11:
(-11)³ + 3(-11)² + 2(-11) + 1716 = 726
Not that either. Let's go the other direction, x = -13:
(-13)³ + 3(-13)² + 2(-13) + 1716 = 0
Aha! x = -13. So x + 1 = -12, and x + 2 = -11.
-11 × -12 × -13 = -1716
The greatest integer is -11.