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il63 [147K]
2 years ago
7

model aeroplane is made to a scale of 1 by two of the size of the real plane the area of the wings of the real plane are 40 m sq

uare find the area of the wings of the model in centimetre square
Mathematics
1 answer:
4vir4ik [10]2 years ago
6 0

The area of the wings of the model is 100000 square centimeters

<h3>How to determine the model area of the wings?</h3>

The given parameters are:

Scale factor, k = 1/2

Actual area of wings, A = 40 square meters

The model area is calculated as

Model area = Actual area * k^2

This gives

Model area = 40 * (1/2)^2

Evaluate

Model area = 10 square meters

Convert square meters to square centimeters

Model area = 10 * 10000 square centimeters

Evaluate

Model area = 100000 square centimeters

Hence, the area of the wings of the model is 100000 square centimeters

Read more about scale ratios at:

brainly.com/question/16192120

#SPJ1

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What is the equation of the line that passes through (2, -7) and (-1, 2)?
SVETLANKA909090 [29]

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y = -3x - 1

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The slope intercept form of the equation of a line is:

y = mx + b

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Now we plug in the slope we found into the equation above.

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3 years ago
A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub
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Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

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t = (x`1- x` ) /. Sp √1/n1 + 1/n2

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t= 0.1908

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So our equation is:

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