Answer:
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
represent the families owned at least one DVD player
represent the total number of families
represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.286;0.562)
Answer:
|2|, |11 ¾|, |-12|, |-20.5|
Step-by-step explanation:
When you have absolute value, you basically remove the negative symbol.
Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
Its either A or C they both have the same spot when it is graphed.
Answer:
-39
Step-by-step explanation:
This sequence follows the pattern of subtracting 7 each time. We can prove this:
31 - 7 = 24, 24 - 7 = 17, 17 - 7 = 10
So if we were to continue to the 11th term, we would subtract 7 more times.
1. 10 - 7 = 3
2. 3 - 7 = -4
3. -4 - 7 = -11
4. -11 - 7 = -18
5. -18 - 7 = -25
6. -25 - 7 = -32
7. -32 - 7 = -39
The 11th term in the sequence would be -39.
