Answer:
205.81 to 214.19
Step-by-step explanation:
Sample size (n) = 50
Sample mean weight (X) = 210 grams
Sample standard deviation (s) = 18 grams
Confidence coefficient (Z) at 90% = 1.645
The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

The confidence interval is 205.81 grams to 214.19 grams.
First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.
73 + 90 + x = 180
163 + x = 180
x = 17
So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).
17 + x = 180
x = 163
So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.
Therefore, angle r is 163 degrees. The correct answer is option C.
Hope this helps!
15=3b
15/3 = 3b/b
5= b
Isolate the variable by diving 3 on both sides
Answer:
The correct option is D
Step-by-step explanation:
A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. Example of categorical variables are race, sex group and education level.
A I guess (finger crossed )