<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
2. Distributive Property
4 is distributed and multiplied inside the parenthesis to x and -5.
4. Subtraction Property of Equality
x is subtracted from both sides of the equation.
4x - x - 22 = x - x + 3
3x - 22 = 3
5. Subtraction Property of Equality
22 is added to both sides of the equation.
3x - 22 + 22 = 3 + 22
3x = 25
6. Division Property of Equality
3 is divided from both sides of the equation.
= 
x =
Answer:
72%
Step-by-step explanation:
Divide 36 by 50 to get .72, and then convert it to a percentage
j=4.88 when g=8 and v=11
Further explanation:
When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.
Variation is always accompanied by a variation constant.
<u>Given</u>
g and v vary directly with j
IT can be written as:
j∝gv
Putting the variation constant k
j = kgv
Putting g = 6 and v=3
So the value of k is 1/18 which makes the equation
So, j=4.88 when g=8 and v=11
Keywords: Variation, Direct Variation
Learn more about variation at:
#LearnwithBrainly
For the brownie one it’s C
For the train one it’s B
For the flour one it’s C
