<h2><u>
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
Answer:
D
Step-by-step explanation:
A)
3(2) + 4(-2) = -2 2(2)-4(-2) = -8
6 - 8 = -2 4 + 8 = -8
Correct Incorrect
B)
3(6) + 4(-5) = -2 2(6) - 4(-5) = -8
18 - 20 = -2 12 + 20 = -8
Correct incorrect
C)
3(4) + 4(4) = -2
12 + 8 = -2
incorrect
D)
3(-2) + 4(1) =-2 2(-2) - 4(1) = -8
-6 + 4 = -2 -4 - 4 = -8
Correct Correct
Best way is process of elimination
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
Answer:
4a³+3a-3
Step-by-step explanation:
You can solve this by combining like terms. Add the numbers with the correct exponents together.
-a³+5a³
4a-a
Thus, the answer is
4a³+3a-3
