Answer:
420cm^3 (cubed) = volume when tripled
Step-by-step explanation:
1. when you multiply 7*4*5=140 (volume of the prism originally)
2. 140*3=420 (final answer)
Answer: f) None of the above
= ( 5.283, 5.917)
Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.6ft
Standard deviation r = 1.0ft
Number of samples n = 27
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
5.6+/-1.645(1.0/√27)
5.6+/-1.645(0.192)
5.6+/-0.317 ft
= ( 5.283, 5.917)
Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)
Answer:

Step-by-step explanation:
we have given x'=(24-16)x=8x
x' denotes the differenation
differentiation is performed with respect to t
by variable separable method we can write

on integrating both side

(property of log )
so the solution for x will be 
This depends on the inequality sign is compared to the y variable
For example, if the inequality is y < x, you would shade under the line x
If the inequality is y > x, you would shade above the line x.
Answer:
slope of the line is 50
Step-by-step explanation:
The slope of a line (gradient) is determined by the rise/run so
(y2 - y1) / (x2 - x1)
We simply substitute in our coordinates and solve. So:
(4000 - 3000) / (60 - 40)
= 1000 / 20
= 100/2 = 50
Gradient is 50