You need to figure out how many ways you can roll a sum of 9.
3 and 6, 4 and 5, 5 and 4, and 6 and 3. That's 4/36, or a 1/9 chance.
Alex has a 1/6 chance. Therefore, Alex is more likely to win.
The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
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The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
<h3>What are the critical values of r?</h3>
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
![\alpha / 2 =0.025](https://tex.z-dn.net/?f=%5Calpha%20%2F%202%20%3D0.025)
Critical values ![r= \pm 0.878](https://tex.z-dn.net/?f=r%3D%20%5Cpm%200.878)
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
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Answer: The answer would be D. 64
Step-by-step explanation: Understanding that the question noted that the second rectangle was dilated from PQRS, which has a perimeter of 16. With the coordinates of point P for the first rectangle being (2,0.5) whilst the second rectangle has point P at (8,2). To figure out the perimeter, divide point P from the second rectangle with point P from the first. The result would be 4. Thus, the scale factor is 4, which you then multiply the perimeter of PQRS by, which was 16. 16 times 4 equals 64.