Count the length of each side then divide it by 2, then draw those sides, and you will have the 1/8 in.:4ft scale
The length of the actual room, assuming each square is 1/4 in. long, is 40ft and the width is 24ft
And then the area would be 40 * 24 = 960 sqft.
9514 1404 393
Answer:
- e ≈ 9.608
- D ≈ 46.5°
- F ≈ 38.5°
Step-by-step explanation:
The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...
e² = d²+f² -2df·cos(E)
e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082
e ≈ 9.608
The remaining angles can be found from the law of sines.
sin(D)/d = sin(E)/e
D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°
F = 180° -95° -46.5° = 38.5°
Answer:
Step-by-step explanation:
Factor out to simplify:
15d+105=4d-16+11d
15d+105=15d-16
subtract 15d from both sides
105=-16
this means that there are no solutions for d
Answer:
Step-by-step explanation:
Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.
To find : A 99% confidence interval for the mean yield when the new catalyst is used ?
Solution :
Let X be the yield of the batches.
We have given, n=10 ,
, s=5.8%
Since the size of the sample is small.
We will use the student's t statistic to construct a 995 confidence interval.

From the t-table with 9 degree of freedom for 


The 99% confidence interval is given by,



