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3 years ago

What is the mass of a truck if it produces a force of 14,000N while accelerating at a rate Of 5 m/s?

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

Step-by-step explanation:

<h3>Correct Question:-</h3>

What is the mass of a truck if it produces a force of 14,000N while accelerating at a rate Of 5 m/s²?

<h3>Answer:-</h3>

Force = Mass × Acceleration

14000 = mass ×5

Mass = 14000/5

Mass = 2800 Kg.

Hope it helps ☃️

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Answer:

$\bar x = 260.1615$

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Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

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Solving (b): The standard deviation

This is calculated as:

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$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

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Solving (c): 95% confidence interval of standard deviation

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$c =0.95$

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$\alpha = 1 -c$

$\alpha = 1 -0.95$

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$df = n -1$

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$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

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$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

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$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

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