It’s 101 because 72 and -29 have a difference of 101
To find r, we have to isolate it on one side of the equation. We can do this by "undoing" the equation one step at a time.
4r - 8 = 5r + 12
4r - 8 - 4r = 5r + 12 - 4r
-8 = r + 12
-8 - 12 = r + 12 - 12
-20 = r
r = -20
Hope this helps!
68% of the time, values will be within ONE std dev of the mean.
Thus, if the mean is 50 and the std. dev is 5, values will be between 45 and 55.
45 is one std dev below the mean, whereas 55 is one std dev above.
40 and 60 represent 2 std dev below the mean and above the mean, respectively. 95% of the time, values will be within the interval (40,60).
Here we're making use of the so called EMPIRICAL RULE.
99.9% of the time, values will lie within 3 std dev of the mean. This comes out to (45, 65). Unsure of how to conclude the 3rd question here.
Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of side c is 4√2 units.
<h3>What is Pythagoras theorem?</h3>
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the length of a is 4 units, while the length of b is 4 units. Therefore, the length of side C is,
c = √(4²+4²) = √[2(4)²] = 4√2 units
Hence, the length of side c is 4√2 units.
Learn more about Pythagoras' Theorem:
brainly.com/question/14461977
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