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s344n2d4d5 [400]
2 years ago
11

Owen paid $9.20 for 6 pencils and a pen. A pen cost twice as much as a pencil. (a) How much did a pencil cost? (b) How much did

a pen cost? Can you help me with the model?
Mathematics
1 answer:
Len [333]2 years ago
8 0
6x+1y=9.20 (x=pencils since he bought 6 pencils, y=pen since he bought one pen)
2x=y (the cost of two pencils equals to one pen since a pen costs twice as much)

now you just solve with substitution

6x+1(2x)=9.20
6x+2x=9.20
8x=9.20
x=1.15 (now you know that one pencil costs 1.15 dollars, now substitute that into the other equation)

2(1.15)=y
2.30=y (now you know then pen costs 2.30 dollars)

so your answer is
a) $1.15
b) $2.30
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A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
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Check Explanation

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A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

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H₀: μ₀ = 0.53

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B) The two errors that can come up in this hypothesis testing include -

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Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

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D) The standard error of the mean used in computing the t-score is given as

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It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

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