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Elanso [62]
3 years ago
8

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Triangle UVW is a right angle triangle.

From the given right angle triangle

UV represents the hypotenuse of the right angle triangle.

With ∠V as the reference angle,

VW represents the adjacent side of the right angle triangle.

UW represents the opposite side of the right angle triangle.

To determine UV, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

UV² = 80² + 39²

UV² = 6400 + 1521 = 7921

UV = √7921 = 89

To determine Cos V, we would apply trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos V = 39/89

Cos V = 0.44 to the nearest hundredth

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Step-by-step explanation:

Given

See attachment for proper presentation of question

Required

Mean and Range

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Sample 2

\bar x_2 = \frac{975 +1013 +999 +1017}{4}

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\bar x_5 = \frac{990 +1012 +990 +1000}{4}

\bar x_5 = 998

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R_5 = 22

Sample 6

\bar x_6= \frac{1016 + 998 +1001 +1030}{4}

\bar x_6= 1011.25

R_6= 1030-998

R_6= 32

Sample 7

\bar x_7 = \frac{1000 +983 +979 +971}{4}

\bar x_7 = 983.25

R_7 = 1000-971

R_7 = 29

Sample 8

\bar x_8 = \frac{973 +982 +975 +1030}{4}

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Sample 9

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\bar x_9 = 1002.25

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R_9 = 37

Sample 10

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\bar x_{11} = \frac{990 +1021 +1028 +992}{4}

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R_{11} = 1028 -990

R_{11} = 38

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\bar x_{12} = \frac{1021 +998 +996 +970}{4}

\bar x_{12} = 996.25

R_{12} = 1021 -970

R_{12} = 51

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