This is a typical algebra problem pretending to be geometry. The two indicated angles are supplementary, adding to 180 degrees, precisely when the lines are parallel.
It's not really indicated, but the 8 and the 2 are in units of degrees.
6x + 8 + 4x + 2 = 180
10x = 170
x = 17 degrees
You can also do the division with remainders to find the answer:
195 ÷ 96 = 2,041666666666667
So you can clearly see that there are more than two but less than three 96s in 195. So multiply 96 by 2 and then substract the result from 195 to find the remainder:
96 * 2 = 192
195 - 192 = 3
It means that in 195 there will fit two 96s with a remainder of 3.
We can also write it as two 96s and 3/96, what can be further simplified to two 96s and 1/32.
Answer:

Step-by-step explanation:
For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.
We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

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".
The confidence interval for a proportion is given by this formula
For the 98% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And the margin of error would be:

Answer:
3 and 6
Step-by-step explanation: