Look it up hope this helps
Answer:
5.2 ft.
Step-by-step explanation:
First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.
Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.
With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.
Combine like terms.
1w - 0.25w = 0.75w
Hope this helps!
Answer:
The null and alternative hypothesis are:

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Step-by-step explanation:
Consider the provided information.
The claim that the mean tornado length is greater than 2.6 miles.
If there is no statistical significance in the test then it is know as the null which is denoted by
, otherwise it is known as alternative hypothesis which denoted by
.
Therefore, the required null and alternative hypothesis are:

significance level α =0.05
From the given table the test statistic T=2.230166
P-value is 0.0131
0.0131<0.05
P value is less than the significance level, so reject the null hypothesis.
There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Answer:
-4
Step-by-step explanation:
The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...
m = rise/run = -4/1 = -4.
The slope is -4.
_____
<em>Additional comment</em>
A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.