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Sonbull [250]
3 years ago
13

What is the median of the data set represented by the box plot shown below?

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:50

Step-by-step explanation:38 is the lowest value,45 is the lowest quartile,50 is the median,67 is the upper quartile,and 75 is the greatest value.

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The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0
2 years ago
A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length
Soloha48 [4]
Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm² 
a = 169.74cm

The height of the tent is 169.74 centimeters. 

6 0
2 years ago
Emily has x amounts of apples, Peter has 4 apples less than Emily and Joshua has 2 times the number of apples of Peter. The tota
VladimirAG [237]

Answer:

Emily: 13, Peter: 9, Joshua: 18

Step-by-step explanation:

Emily = x

Peter = Emily - 4 = x - 4

Joshua = 2(Peter) = 2(x - 4)

Total = 40 = Emily + Peter + Joshua = (x) + (x - 4) + 2(x - 4)

40 = 2x - 4 + 2x -8

40 = 4x - 4 - 8

40 = 4x - 12

52 = 4x

x = 13

Emily = 13

Peter = 13 - 4 = 9

Joshua = 2(13 - 4) = 2(9) = 18

13 + 9 +18 = 40

5 0
2 years ago
PLEASE HELP ME
balandron [24]

Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
  • Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
  • Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

7 0
2 years ago
From a shipment of 400 light-bulbs, a sample of 80 was selected at random and tested. If 32 light-bulbs in the sample were found
denis-greek [22]
80 x 5 = 400
32 x 5 = 160
so you have about 160 <span>defective bulbs</span>
4 0
3 years ago
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