Question 3 has got me lost, need help much appreciated
1 answer:
Answer:
E. a = 2
Step-by-step explanation:
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The question is asking for what the value of a is for the given polynomial.
They gave you a factor to that polynomial, (x+a), and told you that a can be any real number beside 0.
You might remember that when you factor an equation, all you're doing is finding for what value of x will give you an answer of 0.
This is what you're doing now but in reverse. You're given x+a as a factor, so you know that x=-a will make the function equal 0.
So plug x=-a into the function and solve for a. You'd find that you get a=0 and a=2; however, the question stated that a≠0, so the only answer left is a=2.
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Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.387
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.