Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5 minutes to make each cut.
2 answers:
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Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the sample size n =12 -volt car batteries</em>
<em>Let 'X' be a Random variable in a normal distribution</em>
<em>Given that mean of the normal distribution = 45 months</em>
<em>Given that the Standard deviation of the normal distribution = 8months</em>
<u><em>Step(ii):-</em></u>
Let X₁ = 3 years = 12 × 3 = 36 months
Let X₂ = 4 years = 12 × 4 = 48 months
<u><em>Step(iii)</em></u>:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
<u><em>Final answer:-</em></u>
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
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Answer:
the percent of increase is 24%
Step-by-step explanation:
The percent of increase in general could be calculate as:
where Vf is final value and Vi is initial value.
From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:
That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.
Answer:
+6
Step-by-step explanation:
Just do .