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Len [333]
3 years ago
6

Find the slope-intercept form of the line that passes through given the point and has the given slope. Include your work in your

final answer. Type your answer in the box provided or use the upload option to submit your solution.
(-1, 5)
m = -1
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0
Y=-1·[x-(-1)]+5=-x-1+5=4-x
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1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

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U= 2a - 2. solve for a
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