Answer:
Step-by-step explanation:
There are four values 46, 51, 53, 59
we have to draw 2 sampler with replacement
sampler median samler median
46.46 46 53.46 49.5
46.51 48.5 53.51 52
45..53 49.5 53.53 53
46.59 52.5 53.59 56
51.46 48.5 59.46 52.5
51.51 51 59.51 55
51.53 52 59.53 56
51.59 55 59.59 59
sampling distribution of the median
median probability
46 1/16
48.5 2/16
49.5 2/16
52.5 2/16
51 1/16
52 2/16
55 2/16
53 1/16
56 2/16
59 1/16
Let x be the width of the rectangle
Therefore length=3+x
Thus the formula to find the perimeter of the rectangle is:2(3+x+x)
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The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
3x - 8 = 2x + 15
Add 8 to both sides
3x = 2x + 23
Subtract 2x from both sides
x = 23
