Can someone fill in the blank I can’t figure it out
1 answer:
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Answer:
C) 11
Step-by-step explanation:
1) 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 mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that
The margin of error is given by this formula:
And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:
And replacing the values that we got we have:
C) 11
Answer:
4 units
Step-by-step explanation:
Since the two triangles are similar, their sides are proportional. To find the length of the side, you need to use the distance formula:
The coordinates you will use are (0, 0) and (-4, 0) because they correspond to points X and Y in Triangle PQR:
Then, simplify everything under the radical:
Finally, take the square root of 16:
= 4