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abruzzese [7]
3 years ago
12

Which of the following is the inverse of the statement, "If it is an orange, then it is a citrus fruit"? A.If it is a citrus fru

it, then it is not an orange. B.If it is a citrus fruit, then it is an orange. C.If it is not an orange, then it is not a citrus fruit. D.If it is not a citrus fruit, then it is not an orange.
Mathematics
2 answers:
tatiyna3 years ago
8 0
C is the answer i think.
ddd [48]3 years ago
5 0
Your answer would be D.If it is not a citrus fruit, then it is not an orange. The reason why is because there are multiple citrus fruit. A does not make sense because they just told you that an orange is a citrus fruit so that statement is invalid. B and C does not make sense because it's not always a true statement because of the multiple citrus fruit situation I explained earlier.
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Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

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Mean of Y:

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B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

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Answer:

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Step-by-step explanation:

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subtract 20 from each side

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divide each side by 5

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