Answer:
The measure of Arc EH is 123°.
Step-by-step explanation:
Consider the diagram below.
It is provided that ∠EDH ≅ ∠EDG.
This implies that: ∠EDH = ∠EDG
The arc measure is same as the measure of the central angle.
That is:
arc FE = ∠EDF = 57°
arc FG = ∠FDG = 66°
Compute the measure of angle ∠EDH as follows:
arc EH = ∠EDH
=∠EDG
= ∠EDF + ∠FDG
= 57° + 66°
= 123°
Thus, the measure of Arc EH is 123°.
Answer:
The 95% confidence interval would be given by (14444.04;33657.30)
Step-by-step explanation:
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".
Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860
We can calculate the mean and the deviation from these data with the following formulas:
represent the sample mean for the sample
population mean (variable of interest)
s=17386.13 represent the sample standard deviation
n=15 represent the sample size
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (14444.04;33657.30)
Answer:
Hi! This is the answer for part C, or finding the factors.
Step-by-step explanation:
Checked by my teacher. hope this part helps. Will post the rest soon.
