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slamgirl [31]
3 years ago
10

The coordinates of a quadrilateral are (5, 8), (7, 10), (9, 12), and (11, 14). After a transformation, the sign of the x-coordin

ate and the sign of the y-coordinate for each ordered pair have changed. Which type of transformation occurred? A) 180° rotation B) (x,y)→(x + 2, y + 2) C) reflection across the y-axis D) reflection across the x-axis
Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Since the sign of both coordinates have changed then the transformation is

A rotation of 180° → A

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svp [43]

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10    s1=4.7

n2=16      s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

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F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

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3 years ago
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