Answer:
9:59
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
![y=5](https://tex.z-dn.net/?f=y%3D5)
The solution is the shaded area above the solid line
so
The equation of the first inequality is
![y\geq 5](https://tex.z-dn.net/?f=y%5Cgeq%205)
step 2
The equation of the dashed line is
![y=x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%20-5x%2B6)
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
![y>x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Ex%5E%7B2%7D%20-5x%2B6)
therefore
The system of inequalities could be
![y\geq 5](https://tex.z-dn.net/?f=y%5Cgeq%205)
![y>x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Ex%5E%7B2%7D%20-5x%2B6)
Let x represent radius of circle.
We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be
.
Now we will use volume of cylinder formula to our given problem.
, where,
r = Radius of base of cylinder,
h = Height of cylinder.
Upon substituting our given values, we will get:
![V=\pi\cdot x^2\cdot 2x](https://tex.z-dn.net/?f=V%3D%5Cpi%5Ccdot%20x%5E2%5Ccdot%202x)
![V=2x^3\pi](https://tex.z-dn.net/?f=V%3D2x%5E3%5Cpi)
Therefore, our required volume expression would be
.
Answer:
Step-by-step explanation:
Information given
n=564 represent the sample selected
X=51 represent the number of people who rated the overall services as poor
estimated proportion of people who rated the overall services as poor
is the value to compare
z would represent the statistic
Hypothsis to analyze
We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for a one z test for a proportion is given by:
(1)
Replacing the info given we got:
And the p value since we have a bilateral test is given b: