A) The length of the longer leg is x-1
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
I will go with B.
How the data spread out is measured by standard deviation. IQR is <span>measure of variability.</span>
The data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
<h3>When a measure is considered an outlier in a data-set?</h3>
A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:
- If the measure is considerably less than the second smallest value.
- If the measure is considerably more than the second highest value.
In this problem, he data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.
The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.
More can be learned about statistical outliers at brainly.com/question/9264641
#SPJ1
Answer:
37.70 feet
Step-by-step explanation:
-The radius of each tire is given as 6 feet.
-Distance around each tire is equivalent to the circumference of each tire.
#Circumference is calculated as:
Hence, the distance around each tire is 37.70 feet
Answer:
13) 90-18 = 72
14) 108/9 = 12
15) 66+34 = 100
16) 7*8 = 56
Step-by-step explanation:
All you need to do is take the second term of each equation and move it to the other side. So for number 16 we just need to move the 8 from the left to the right. This is as simple as multiplying both sides by 8 to get:
8*(56/8) = 8(7)
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V
56 = 8*7
And that would be the answer to number 16!