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hram777 [196]
3 years ago
11

math 115 In a recent year, wind machines in a country generated 181.3 billion kWh of electricity, enough to serve over 17 millio

n households. The nation's total electricity production that year was 4,096 billion kWh. What percent of the total energy production was generated by wind machines?
Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

The percentage of of the total energy production was generated by wind machines is 4.43%.

Step-by-step explanation:

Percentage is the proportion of an item in the whole.

The formula is:

Percentage=\frac{X}{N}\times 100

It is provided that the wind machines in a country generated 181.3 billion kWh of electricity.

And the nation's total electricity production that year was 4,096 billion kWh.

Compute the percentage of of the total energy production was generated by wind machines as follows:

Percentage=\frac{181.3}{4096}\times 100=4.43\%

Thus, the percentage of of the total energy production was generated by wind machines is 4.43%.

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Find the exact value. sin135°
Soloha48 [4]

Answer:

\frac{1}{\sqrt{2} }

Step-by-step explanation:

Note that

sin135° = sin(180 - 135)° = sin45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

7 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
Help with graph question
Gala2k [10]
The first thing we are going to do to graph our equation is solve them for y:
For our first equation:
4x-5y=50
-5y=20-4x
y= \frac{4}{5} x-4
For our second equation:
3x+y=-4
y=-3x-4

Now, we just need to use the graphing utility to graph our equations:
y= \frac{4}{5} x-4
y=-3x-4

We can conclude that the graph of the equations is:

6 0
3 years ago
A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0
4 years ago
What is nine less than a number?
guapka [62]
9 less than a number is <em><u>9 - n</u></em>

Where n is that number
6 0
4 years ago
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