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3 years ago

√32/6 Please show all work when answering!!

Mathematics

1 answer:

BARSIC [14]3 years ago

8 0

$\sqrt{32} \div 6$
$4 \sqrt{2} \div 6$
$2 \sqrt{2} \div 3$
Alternative form:

0.942809

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What is true of the coefficient of variation?

DedPeter [7]

Answer:

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Step-by-step explanation:

The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.

The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).

A coefficient of variation is always interpreted as a percentage. Mathematical representation is:

$Coefficient\ of\ variation\ = \frac{Standard\ deviation}{Mean}\ \%$

The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Hence, the option (A) is the correct option.

5 0

3 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The di

kogti [31]

The rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min. Computed using differentiation.

The sand is falling onto a conical pile, thus we get the pile in the shape of a cone, whose volume is given as:

V = (1/3)πr²h,

where V represents the volume of the cone, r represents its radius, and h represents its height.

In the question, we are given that the rate of piling is 16 ft.³/min, which implies that:

dV/dt = 16 ... (i)

We are also given that the diameter is three times the altitude (height), which can be shown as:

2r = 3h,

or, r = (3/2)h.

Thus, the volume can now be shown as:

V = (1/3)π{(3/2)h}²h,

or, V = (3πh³)/4.

Differentiating this with respect to time, we get:

dV/dt = (3π/4)(3h²)dh/dt.

Now, we need to calculate the rate of change of height, when the height is 2 feet, thus we take h = 2

Using dV/dt = 16 from (i), we can write:

16 = (3π/4)(3(2)²)dh/dt.,

or, 16 = 9π(dh/dt),

or, dh/dt = 16/9π = 0.5659 ft./min.

Thus, the rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min.

Learn more about differentiation at

brainly.com/question/13461339

#SPJ4

6 0

2 years ago

Please help me answer this!!!

iragen [17]

It is D if u did the math right

8 0

3 years ago

Area for rectangle in the coordinate plane. IXL Geometry help pls !

Sidana [21]

Answer:

Step-by-step explanation:

The co-ordinates of the rectangle are:

A (8, 6)

B (-4, -10)

C (-8, -7)

D (4, 9)

The Area of Rectangle is Given by: length x breadth = AB x BC

Lengths of AB and BC can be found by distance formula

length(AB) = $\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2}}$ = $\sqrt{(-4-8)^{2} + (-10-6)^{2}} = 20$

Similarly,

length(BC) = 5

Area of Rectangle = AB x BC = 20 x 5 = 100 square units

5 0

3 years ago

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x

Alchen [17]

Answer:

x=5±√−103/8

Step-by-step explanation:

There's no real solutions

4x2−3x+9−(2x+1)=2x+1−(2x+1)

4x2−5x+8=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(4)(8)/2(4)

x=5±√−103/8

8 0

3 years ago