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Dahasolnce [82]
3 years ago
9

Help me solve this with the steps please :/

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Answer:

Option (2)

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(42°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(42°) = \frac{6}{\text{Width}}

Width = \frac{6}{\text{tan}(42)}

Width = 6.67

Therefore, width of the given triangle is 6.67 units.

Option (2) is the correct option.

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On a statistics examination the mean was 78 and the standard deviation was 10. (a) Determine the standard scores of two students
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Answer:

a) Grade = 93, Standard score = 1.5

Grade = 62, Standard score = -1.6

b) Standard scores = 0.6, Grade = 84

Standard scores = 1.2, Grade = 90

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

Standard Deviation, σ = 10

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Grade = 93

\text{Standard score } = \displaystyle\frac{93-78}{10} = 1.5

Grade = 62

\text{Standard score } = \displaystyle\frac{62-78}{10} = -1.6

b) We have to find grades of student

Standard scores = 0.6

\displaystyle\frac{x-78}{10} = 0.6\\\\x = (0.6)(10)+78 \\x = 84

Grade = 84

Standard scores = 1.2

\displaystyle\frac{x-78}{10} = 1.2\\\\x = (1.2)(10)+78 \\x = 90

Grade = 90

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Answer:

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