Slove for y . 3x+2y=-6
1 answer:
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Answer:
Explained below.
Step-by-step explanation:
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.
<em>H</em>ₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.
(2)
Use Excel to compute the sample mean and standard deviation as follows:
Compute the test statistic as follows:
The degrees of freedom is:
df = n - 1
= 36 - 1
= 35
Compute the p-value as follows:
(3)
The <em>p</em>-value = 0.0006 is very small.
The null hypothesis will be rejected at any of the commonly used significance level.
(4)
There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.
Given:
The point is (-12,-8).
Rule of transformation is .
To find:
The coordinates of image after transformation.
Solution:
According to the rule of transformation , first the point is dilated by factor
with origin as center of dilation after that it was rotated 270 degrees anticlockwise.
If a point is dilated by factor with origin as center of dilation, then
If a point is rotated 270 degrees anticlockwise, then
Therefore, the coordinates of image after transformation are (-2,3).