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larisa [96]
3 years ago
13

A 5 kW solor energy system can collect 9000 kWh of energy per year. In Arizona, electricity cost eleven cents per kilowatt hour.

The average home uses 66 million BTU per year. Given that 1 BTU= 0.000293 kWh, find the number of kilowatt hours used per year
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

19338 kWh

Step-by-step explanation:

In Arizona, electricity cost eleven cents per kilowatt-hour.

The average home uses 66 million BTU per year i.e. 66000000 BTU per year.

Now, it is given in the question that 1 BTU is equivalent to 0.000293 kWh.

So, the average home uses (66000000 × 0.000293) = 19338 kWh per year.

Therefore, the number of kilowatt-hours used per year will be 19338. (Answer)

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If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

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Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
Is 976 -522 more or less than 400? Explain how you can tell without actually subtracting.
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6 0
2 years ago
There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer
Lubov Fominskaja [6]

Answer:

Possible\ Answers = 4096

Step-by-step explanation:

Given

Questions = 6

Options = 4 each

Required

Determine the number of possible answers

<em>The first question has 4 possible answers</em>

<em>The second has 4 possible answers</em>

<em>The third has 4 possible answers</em>

<em>The fourth question has 4 possible answers</em>

<em>The fifth has 4 possible answers</em>

<em>The sixth question has 4 possible answers</em>

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