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bezimeni [28]
4 years ago
7

A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

akes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. She decides to construct a 98% confidence interval to estimate the mean. The degrees of freedom associated with this problem are _______.
Mathematics
1 answer:
uranmaximum [27]4 years ago
4 0

Answer:

The degrees of freedom associated with this problem are 16.

Step-by-step explanation:

The degrees of freedom associated with a problem, independent of the confidence level, is the sample size subtracted by 1.

In this problem, we have that:

She takes a random sample of 17 trucks, so the sample size is 17.

This means that the degrees of freedom associated with this problem are 16.

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X = 7/5
when the value of x is 7/5 the equation will be true
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Therefore when the value of x is 7/5 the equation will be true
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Step-by-step explanation:

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2 years ago
6. The base of a triangular field is three times its height. If the cost of cultivating the field
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Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = \frac{1}{2} x base x height

For the given triangle,

area = \frac{1}{2} x b x 3h

       = \frac{3}{2}bh

Area of the triangle = \frac{3}{2}bh

To determine the number of hectares,

36 per hectare = 486

hectare = \frac{486}{36}

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = \frac{3}{2}bh

135 000 = \frac{3}{2}bh

270000 = 3bh

bh = \frac{270000}{3}

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bh = 90000

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3h x h = 90000

3h^{2} = 90000

h^{2}  = \frac{90000}{3}

     = 30000

h = \sqrt{30000}

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h = 173.21 m

So that,

b = 3 x 173.2051

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b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

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