Solve this quadratic equation. 6x2 - 2x = 7
1 answer:
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Answer:
Option b is correct.
The series 20-15+10-5....is Divergent
Step-by-step explanation:
Alternating series Test:
satisfies:
for all n
Then the series converges,
otherwise diverges.
Given the series: 20-15+10-5....
This is a alternating series:
using the alternating series test;
for all n
⇒ the series diverges.
therefore, the given series i,e 20-15+10-5.... is divergent.
Answer and Step-by-step explanation:
× 12 can also be written as
because the 12 is multiplying the numerator of the fraction.
12 can also be written as .
When we solve, this is what is happening:
×
The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.
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Answer:
The confidence interval will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of