Solve for bbb. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 30b+53 \geq 18b -83
2 answers:
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We will use the slope formula and fill it in accordingly.
Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6
.
The slope of your line is -9/7
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
- For a sample size of <em>n</em> = 50
- For a sample size of <em>n</em> = 100
- For a sample size of <em>n</em> = 500
<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 () approaches the whole population mean (
).
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).
y - 2483 = 24.6(x - 2)
Let x represent the number of years after 2010
Let y represents the number of restaurants in x years
2012 is 2 years after 2010
2017 is 7 years after 2010
Number of restaurants owned by RESTAURANTS in 2012 = 2483
This can be represented in coordinate form as (2, 2483)
Number of restaurants owned by RESTAURANTS in 2017 = 2606
This can be represented in coordinate form as (7, 2606)
The equation of a line in point-slope form is:
where m represents this slope, and is calculated as:
Substitute x₁ = 2, y₁ = 2483, and m = 24.6 into the point-slope equation
The equation in point-slope form becomes:
y - 2483 = 24.6(x - 2)
Learn more here: brainly.com/question/6497976