what are the coordinates of the image after a transformation of (x,y)-->(x-3,y+7) ? A(2,5) B(6,-10) C( -12, 15)
1 answer:
Applying the translation rule, the coordinates are:
- A'(-1,12).
- B'(3, -3).
- C'(-15, 22).
The translation rule is:
Thus, for the image, the transformation is applied for each coordinate. Then:
A similar problem is given at brainly.com/question/24721131
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<h2><u>Answer with explanation</u>:</h2>
Let be the average life of light bulbs.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Using z-value table , Critical one-tailed test value for 0.06 significance level :
Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life