A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
2 answers:
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the volume of a cone is 12 cubic inches.
The volume of a cone is
Put V₁=12 in the value equation.
Multiply both sides by 3.
.... (1)
Where, r is radius of base, h is height.
It is given that the cone fits exactly inside of the cylinder. It means the height and the radius of the cylinder is same.
The volume of a cylinder is
Using equation (1) we get
The volume of cylinder is 36 cubic inches. Therefore the correct option is 3.
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Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:
The statistic z is then
The P-value is
The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)