According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:
The z-score for 1.5 flaws per square yard is:
The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.
Answer:
Maximum error for viscosity is 17.14%
Step-by-step explanation:
We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since
The implicit derivative with respect to the time would be
If we multiply everything by dt we get
Remember that the error is given by 
therefore doing some algebra we get that
Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that
Which means that the maximum error for viscosity is 17.14%.
Answer:
3(x - 5)(x + 1).
Step-by-step explanation:
3x^2 - 12x - 15
Dividing through by 3:
= 3(x^2 - 4x - 5)
We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:
3(x - 5)(x + 1).
Answer:
Step-by-step explanation:
Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:
For a: 
For b: 
For c calculate the square of a sum: 
(add like terms) c: 
For d: 
