Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
<u>Normal distribution test:</u>
Where,
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of 
Therefore, we <u>fail to reject the null</u>. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
For similar figures, the ratio of areas is the square of the ratio of linear dimensions. The smaller billboard requires
.. (4/5)^2 * 250 ft^2 = 160 ft^
of material.
Since we can find a solution for this system of equations we can affirm this is an independent system with solution equal to (x,y) = (3,-1)
* If we graph a dependent system in the slope - intercept form, we can see that the graphs of each one are identical to each (beacuse we are representing the same line).
*An inconsistent system occurs when the equations have the same slope, but different values of intersection with the Y axis.
A list of cube roots between 100 and 600 are
5x5x5= 125
6x6x6=216
7x7x7=343
8x8x8=512
Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
