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andreyandreev [35.5K]

3 years ago

11

the lighting for a billboard is provided by solar energy. if 4 energy panels generate 10 watts of power, how many panels are nee

ded to provide 550 watts of power?

1 answer:

viktelen [127]3 years ago

3 0

10/4
To get then watts per panel
550 / the Watts per panel to get the number of panels need

Always round this up if necessary

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It’s a statistics mathematical question

Olin [163]

Answer: About 0.8034 of the items will be classified as good.

Step-by-step explanation:

Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:

--0.13--defective

|__0.09__ classified as 'good'

|__0.91__ classified as 'defective'

--0.87--not defective

|__0.09__ classified as 'defective'

|__0.91__classified as 'good'

This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:

(0.13 * 0.09) + (0.87 * 0.91)

this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"

When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)

3 0

4 years ago

(3x + 5)(2x - 11) = 0<br> what is x

DaniilM [7]

Answer: it means multiplication

Step-by-step explanation:

8 0

4 years ago

Whats the defination of area in math

Brilliant_brown [7]

Area is the area<span> of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch</span>

5 0

3 years ago

Read 2 more answers

Determine the missing side length:

ludmilkaskok [199]

The answer is: "3" .
_______________________________
Use the Pythagorean theorem (for right triangles):

a² + b² = c² ;

in which "a = "side length 1" (unknown; for which we which to solve);

"b" = "side length 2" = "√3" (given in the figure) ;

"c" = "length of hypotenuse" = "2√3" (given in the figure);
_____________________________________________________
a² + b² = c² ;

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)² − (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3) = 4 * 3 = 12 .

(√3)² = (√3√3) = 3 .

a² = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation; & to solve for "a" ;

+√(a²) = +√9 ;

a = 3 .
____________________________________
The answer is: "3" .
____________________________________

3 0

3 years ago

A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I

ladessa [460]

Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60

7 0

4 years ago

Read 2 more answers