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LekaFEV [45]
3 years ago
10

Ken's prediction for december was -5°c The actual low temperature was 3 degrees higher than his prediction what was the actual l

ow temperature in december
Mathematics
2 answers:
SashulF [63]3 years ago
8 0

Answer:

  -2 °C

Step-by-step explanation:

Add 3 °C to get a temperature 3 °C higher.

  -5 °C + 3 °C = -2 °C

never [62]3 years ago
6 0

Answer:

The answer is -2

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The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
Jay's mother bought a rectangular rug for the dining room. The dimensions of the rug are 4 yards by 3 yards. Which is the correc
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The answer will be B. Hope it help!
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ollegr [7]

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Step-by-step explanation:

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First, combine the like terms 5 and 9

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Add x to each side

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Subtract 14 from each side

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Answer:

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Step-by-step explanation:

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The answer to this equation is 1412 or 21-15
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