Answer: 4 ways
Step-by-step explanation:
Given : A team consisting of Persephone, Neptune, Ares, and Roger need to select one person to be team captain.
The number of people in the team = 4
The number of ways to select the team captain from 4 members is given by :-
Hence, there are 4 ways to select team captain.
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Define the two numbers
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Let the first number be x.
Let the second number be y.
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Form equations and solve x and y
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x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)
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Equation (1) x 2
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2x + 4y = 28 ---------------(1a)
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Equation (1a) - 2
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3y = 28 - 31
3y = -3
y = -1
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Substitute y = -1 into (1)
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x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16
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Answer: x =16, y = -1
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Complete question :
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.
Answer:
P(χ² ≥ 8.2) = 0.04
Step-by-step explanation:
We need to obtain the degree of freedom ;
Number of levels, k - 1
k = (white, blue, red, black) = 4
df = k - 1= 4 - 1 = 3
The test statistic, χ² = 8.2
The Pvalue is the probability of a Chisquare statistic with 3 degree of freedom is equal to or more extreme than the statistic value, 8.2
Using the Pvalue for calculator from Chisquare statistic, at 3 degree of freedom
Pvalue(8.2, 3) = 0.042
Hence,
P(χ² ≥ 8.2) = 0.04
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