Divide. (3 3/4 )÷(−2 1/2 ) Enter your answer as a mixed number, in simplified form, in the box.
1 answer:
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Answer:
A) Between 388 and 450
B) Between 357 and 481
C) Between 326 and 512
D) 99.995%
E) 72.907%
Step-by-step explanation:
We are given;
Mean; x¯ = 419 minutes
Standard deviation; σ = 31 minutes
A) From the empirical rule, 68% falls within 1 standard deviation.
Thus, it will be between;
419 - 1(31) and 419 + 1(31)
Thus gives;
Between 388 and 450
B) From the empirical rule, 95% falls within 2 standard deviation.
Thus, it will be between;
419 - 2(31) and 419 + 2(31)
Thus gives;
Between 357 and 481
C) From the empirical rule, 99.7% falls within 2 standard deviations.
Thus, it will be between;
419 - 3(31) and 419 + 3(31)
Thus;
Between 326 and 512
D)between 359 and 479 minutes, we will use z-s roe formula;
z = (479 - 359)/31
z = 3.871
From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%
E) worker spent 400 minutes on the job.
Thus;
z = (419 - 400)/31
z = 0.613
From z-tables, p = 0.72907
In percentage, we have; 72.907%
Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.
Step-by-step explanation:
Since we have given that
Integers between 10000 and 99999 = 99999-10000+1=90000
n( divisible by 3) =
n( divisible by 5) =
n( divisible by 7) =
n( divisible by 3 and 5) = n(3∩5)=
n( divisible by 5 and 7) = n(5∩7) =
n( divisible by 3 and 7) = n(3∩7) =
n( divisible by 3,5 and 7) = n(3∩5∩7) =
As we know the formula,
n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)
Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.