<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
The value of y based on the values given ib the equilateral triangle will be 4.
<h3>How to illustrate the triangle?</h3>
From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:
= 1/2 × 8 = 4
In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.
Here, value of y based on the values given ib the equilateral triangle will be 4.
Learn more about triangles on:
brainly.com/question/17335144
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Convert 9/5 and -4/5 to decimal form
= 1.8 and -0.8
so answer is -2.5 , -1.1 . -0.8, 0.8, 1.8
= -2.5, -1.1 , -4/5, 0.8, 9/5
Answer:
((19)(49)/98)
Step-by-step explanation:
The answer is C. They are intersecting