Answer:
x = 28
Step-by-step explanation:
The sum of the angles in a straight angle = 180°
Sum the angles and equate to 180
2x + 20 + 3x + 20 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
Answer:
The quotient is 
Step-by-step explanation:
The given polynomial division is 
To perform the synthetic division we write out the coefficients and arrange them as shown.
1 -4 4 -1
<u>1 | 1 -3 1</u>
1 -3 1 0
The quotient is 
The descending powers of x means from highest degree to the least
The remainder is 0
Answer:
6x3x2
Step-by-step explanation:
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.28.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.