Answer:
the length of FC = b = 12 cm
Step-by-step explanation:
The volume of prism is given along with height and height of triangular base. WE need to find the length of base.
V= B*h
where B= area of base = 1/2 * b *h
V= ( 1/2 *b * h) * h
900= 1/2 * b * 10 * 15
900 * 2 = b* 150
1800 = b* 150
=> b= 1800/150
b= 12 cm
So the length of FC = b = 12 cm
Well, since the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%, that means there is a 90% confidence interval. 9 / 10 = .90 = 90% 90% = 1.645 1.645 * .9 = 1.4805 Margin of Error - 1.4805and The margin of error is the distance from x-bar, the center of the confidence interval ,to the end of the interval. This distance is 6% of 80% which is given by: 80×6100=4.8 Therefore the margin of error is 4.8% and the confidence interval is: ({80 - 4.8}%, {80 + 4.8}%)
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
Answer:
54 Minutes
Step-by-step explanation:
45 minutes/5 walls/4 people=2.25 minutes per person per wall
2.25 times 6 times 4=54 minutes