Plz help me it will be appreciated
1 answer:
<h2>Hello!</h2>
The answer is:
A) The solution to the inequality is all the values of "x" less than -3.
<h2>Why?</h2>To solve the problem, we must remember that isolating variables from inequalities and equalities are almost the same, however, we must remember that the solutions to both have completely different meanings.
Inequalities usually are used to express where a determined function exists, and are referred to restrictions or conditions.
So, we are given the following inequality:
Then, solving we have:
Hence, the solution to the inequality are all the values of "x" less than -3.
It can be also written like: (-∞,-3)
So, the correct option is the last graph:
A) The solution to the inequality is all the values of "x" less than -3.
Have a nice day!
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Answer:
or
Step-by-step explanation:
No need for a calculator.
Assuming that the equation is in the form , we can plug in points to get our equation. For ease, let's use (1,18) and (2,21). When plugging these points in, we get
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This equation in decimal form (rounded to the nearest thousandth) is .
hope this helped! :)
Answer:
d) [-16.03,-3.97]
.
Step-by-step explanation:
Notation and previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample of A
represent the sample of B
represent the mean sample for A
represent the mean sample for B
represent the sample deviation for A
represent the sample deviation for B
represent the significance level
Confidence =99% or 0.99
The confidence interval for the difference of means is given by the following formula:
(1)
The point of estimate for is just given by:
The appropiate degrees of freedom are
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,29)".And we see that
The standard error is given by the following formula:
And replacing we have:
Confidence interval
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval for the differences of means would be given by .
d) [-16.03,-3.97]