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tino4ka555 [31]
3 years ago
14

What’s the slope of a line given in the graph????

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0
6/7 is your answer to your question
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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
150 cubic centimeters
Brrunno [24]

Answer: The answer is B

Step-by-step explanation:

6 0
3 years ago
What is the ratio of 65*3^17 to 65*3^14
solniwko [45]
<span>The ratio of 65*3^17 to 65*3^14 can be found as follows:

(65) (3^17)      65
--------------- = ----- * 3^(17-14) = 1 * 3^3 = 27 (answer)
(65) (3^14)      65</span>
3 0
3 years ago
Read 2 more answers
Which number does NOT represent a rational number
defon

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

8 0
3 years ago
Read 2 more answers
Mrs.cyan paid $105 for flower boxes. each flower box cost $7. how many flowers did she buy
Ede4ka [16]

Answer:

15

Step-by-step explanation:

To find how many she bought, we have to divide. So we do 105/7=15.

8 0
2 years ago
Read 2 more answers
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