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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
Company A becuase it cost less than others and you can get more for a lower price
So the answer is C
Answer:
4.71
Step-by-step explanation:
Area of shaded sector formula: r2(data)(pi)/360
Substitute the info into the formula
(60)(pi)/360
9(60)=540
540/360(pi)=4.71
Hope this helps! :)
Answer:
-4
Step-by-step explanation:
Given function
f(x) = -2x² + 3x - 4
Comparing with ax² + bx + c We get
c = - 4
Hope it will help :)❤
Answer:
30
Step-by-step explanation:
To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is or .
Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply by 40.
Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.
