<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
Just do 30%x179,000 and that will be the answer the equation is V (for value) V=53,700t
Answer:
(-0.5, 0.5)
Step-by-step explanation:
midpoint formula:
[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]
[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]
[(-1) / 2], [(1) / 2]
(-0.5, 0.5)
Answer:
<h2>

</h2>
Step-by-step explanation:
<h3>

</h3>
First of all multiply through by 3
That's
<h3>

</h3>
We have
<h3>

</h3>
Divide both sides by h to make b stand alone
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you