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3 years ago

6

The annual rainfall (in inches) in Western Colorado is modeled by a distribution with the following cumulative distribution func

tion. Determine the mean and the variance of the annual rainfall in this region

1 answer:

kirill115 [55]3 years ago

8 0

Stanky chesse Sandwich Ummmm

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The Quadratic Equation c² + 6c+ 8 = 0<br><br> Show work please

Bad White [126]

The formula for the quadratic formula is x (c in this case) = (-b(+/-)√(b²-4ac))/2a
This is used for an equation in standard quadratic form: ax² + bx + c = 0
1.) Put it in the correct form, if not already in it.
Ex. c² + 6c + 8 = 0
2.) Identify each part of the equation:
a = 1 (the leading coefficient), b = 6 (the coefficient in front of the second variable), c = 8
3.) Plug in each variable answer
c = (-6(+/-)√(6²-4(1)(8))/2(1)
4.) Simplify
c = (-6(+/-)√(36-(4*8))/2
c = (-6(+/-)√(36-32))/2
c = (-6(+/-)√(4))/2
c = (-6(+/-)2)/2
*Here, the equation splits in two. It becomes:
c = (-6+2)/2 AND c = (-6-2)/2
*Simplify again:
c = -4/2 AND c = -8/2
c = -2 AND c = -4
The answers c = -2 and c = -4 would solve the given equation.
Hope this helps! :)

6 0

3 years ago

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Find the total area of a cylinder whose radius is 2 cm and height is 4 cm.

kolezko [41]

Answer:

78.95cm^2

Step-by-step explanation:

The equation for a cylinder is rπ^2 · h

2π²·4≈78.95

4 0

3 years ago

Solve for y: 3y=2(2+2y).

emmasim [6.3K]

3y=2(2+2y); 3y=4+4y; -y=4; y=-4;

4 0

3 years ago

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what is the area of the shaded sector of the circle if the radius is 14 ft? leave your answer in terms of pi

Strike441 [17]

Given:

Radius = 14 ft

θ = 45°

To find:

Area of the shaded sector

Solution:

Area of the sector formula:

$$\text { area of sector }=\frac{\theta}{360^{\circ}} \times \pi r^{2}$

$$=\frac{45^\circ}{360^{\circ}} \times \pi \times 14^{2}$

$$=\frac{1}{8} \times \pi \times 196$

$=24.5\pi$ ft²

The area of the shaded sector of a circle is 24.5π ft².

3 0

3 years ago

State whether the system is consistent and independent, consistent and dependent or inconsistent.

user100 [1]

Answer:

The correct option is 1.

Step-by-step explanation:

Inconsistent system: If the given system has no solutions, then it is an inconsistent system.

Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.

Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.

The given equations are

$x+3y=18$ .... (1)

$-x+2y=7$ ..... (2)

Add both equations.

$x+3y-x+2y=18+7$

$5y=25$

$y=5$

Substitute this value in equation (1).

$x+3(5)=18$

$x+15=18$

$x=3$

The system of equations has only one solution, i.e.,(3,5).

Therefore the given system is consistent and independent. Option 1 is correct.

7 0

3 years ago

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