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statuscvo [17]
3 years ago
9

A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0

Answer:

960 Watt

Step-by-step explanation:

Power consumed by light bulb in 3 days and 18 hours = 3600 Watt

number of hours in one day = 24 hours

total number of hours in 3 days and 18 hours = 3*24 + 18 = 90 hours

Power consumed by light bulb in 1 hour = \frac{3600}{90} = 40 Watt

∴ Power consumed by light bulb in 1 day (24 hours) = 40*24 = 960 Watt

Tasya [4]3 years ago
3 0

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

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Answer:

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Step-by-step explanation:

The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.

  A: 0 = -2(4) +4 = -4 . . . . . not true

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The equation you're looking for is ...

  y = -2x +8

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<em>Additional comment</em>

Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.

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5 0
2 years ago
Solve the two-step equation. − 2 3 x – 21 4 = 27 4
svetoff [14.1K]

Answer:

Step-by-step explanation:

I'm going to assume that the problem is -23x -214 = 274

And in that case...

1. First isolate the x-value by adding 214 to both sides of the equation:

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2. Then, divide both sides by -23 to truly get x alone:

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7 0
3 years ago
Read 2 more answers
If you have 26 ounces of chicken how many people can you feed
IRISSAK [1]

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Step-by-step explanation:

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2 years ago
Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose
spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The home team therefore wins 50% of its games

This means that p = 0.5

Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games

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\mu = p = 0.65

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This probability is 1 subtracted by the pvalue of Z when X = 0.65. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.65 - 0.5}{0.0559}

Z = 2.68

Z = 2.68 has a pvalue of 0.9963

1 - 0.9963 = 0.0037

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

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