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Answer with explanation</u>
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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
The correct answer is option D.
F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.
- The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.
- Commutative property of multiplication is expressed as:
a x b = b x a
a x b x c = a x c x b = b x c x a
- Note: " . " in the question also means "x" (multiplication)
- Applying commutative property to the question:
(7/15)⋅(−11)⋅(30)
(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)
The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.
Option A is the correct answer.
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brainly.com/question/24733555
Answer:
there are 28 quarters and 13 nickels
Step-by-step explanation:
Answer:
hope it helps and u understand
check the steps in picture attached