Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
The volume of a rectangular pyramid = 1/3 ×Area×height
=1/3×L×W×H
if the dimensions were doubled
therefore,
V=1/3 × (9×2)×(14×2)×(10×2)
=1/3×18×28×20
=3360 cubic centimetres
Answer: (110.22, 125.78)
Step-by-step explanation:
The confidence interval for the population mean is given by :-

Given : Sample size = 463


Significance level : 
Critical value : 
We assume that the population is normally distributed.
Now, the 90% confidence interval for the population mean will be :-

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)
Answer:
x=2
Step-by-step explanation: