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vovangra [49]
1 year ago
15

A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour how much does

it cost to have a bulb on for an hour?
Mathematics
2 answers:
Ksivusya [100]1 year ago
8 0
A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour. Let's solve how much does it cost to have a bulb on for an hour. => 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per => 0.1 kilowatt per hour * 0.20 = 0.02 dollars in an hour.
Fittoniya [83]1 year ago
4 0

Answer:

$0.02 is the cost to have the bulb on for an hour

Step-by-step explanation:

A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour

We can assume 1 kilowatt per hour = 1 unit

So total units of electricity consumed in 1 hour = 0.1 × 1

= 0.1 kilowatt hour or 0.1 unit

Since cost of one unit or 1 kilowatt hour is = $0.20 per unit or kilowatt hour.

Therefore, total cost to have this bulb on for an hour = Number of units consumed by the light bulb × per unit cost

= 0.1×0.20

= $0.02

$0.02 is the cost to have the bulb on for an hour.

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1 year ago
A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
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Answer:

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b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

For this case the  95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

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100-x

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