In 30 minutes the minute hand makes half a turn around the clock, so it sweeps half a circle.
Given the radius , the area of a circle is
In this case, we're interested in half the area of a circle with radius 14cm, so we have
cm squared.
Assume that the significance level is alpha = 0.01. Use the given information to find the P-value and the critical value(s). T
1 answer:
Answer:
The P-value is 0.04093 and critical value is −2.33.
Step-by-step explanation:
Given information:
Significance level, α=0.01
Test statistic of z = -1.74
Testing claim is p<0.6.
Null hypothesis :
Alternative hypothesis :
It means it is a left tailed test.
The P-value for a left-tailed test, for a significance level of α=0.01 is 0.04093.
The z-critical value for a left-tailed test, for a significance level of α=0.01 is −2.33.
Therefore the P-value is 0.04093 and critical value is −2.33.
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1. See the attached graph.
2. All translations are considered rigid motion. The locations of points on the figure do not change relative to one another.
2. All translations are considered rigid motion. The locations of points on the figure do not change relative to one another.
I will try to make this as simple as possible.
First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:
1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)
With that being said, let's begin.
First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing we have the equivalent of -0.3, so now we know it's a rational number.
As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:
-0.3 is a rational number, but 3.14144144414444 is not.
Hope this helped! c: