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vredina
3 months ago
11

Heights of adult males are known to have a normal distribution. a researcher claims to have randomly selected adult males and me

asured their heights with the resulting relative frequency distribution as shown here. identify two major flaws with these results. height​ (cm) relative frequency 130dash–144 2222​% 145dash–159 2424​% 160dash–174 2121​% 175dash–189 2626​% 190dash–204 2828​%
Mathematics
2 answers:
Leona [12.6K]3 months ago
8 0
The following significant flaws can be identified from the data:
1. The total of the relative frequencies exceeds 100%, which is impossible.
Every dataset's relative frequencies should sum to 100%.

2.) The data distribution lacks symmetry.
Leona [12.6K]3 months ago
3 0

Answer:

The total probability exceeds 100%, indicating a problem with the findings; moreover, the distribution shows excessive uniformity which disqualifies it as a normal distribution.

Detailed explanation:

The sum of probabilities should be exactly 100%. When you add the probabilities of this distribution:

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

This exceeds 100%, highlighting a significant error in the results.

A typical normal distribution possesses a bell curve. If we plot the probabilities for this distribution, we'd see bars at 22, 24, 21, 26, and 28.

The bars would fail to form a bell-shaped curve, confirming that this is not a normal distribution.

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2 months ago
What is the slope of 1.5x+4.5y=18
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The x intercept is at (12,0). To find it, start with the equation 1.5x + 4.5y = 18, and subtract 1.5x from both sides. This gives you 4.5y = -1.5x + 18. Next, divide everything by 4.5, resulting in y = -1/3x + 4. Hence, the slope of the line is -1/3, and the y intercept is at (0,4). To determine the x intercept, set y to 0. Plugging this into the equation yields: 1.5x + 4.5(0) = 18, simplifying to 1.5x = 18. Dividing both sides by 1.5 gives x = 12.
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1 month ago
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Below is an attempt to derive the derivative of sec(x) using product rule, where x is in the domain of secx. In which step, if a
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The mistake is present in step 3. According to the product rule, we find

\dfrac{\mathrm d}{\mathrm dx}(\sec x\times\cos x)=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x+\sec x\times\dfrac{\mathrm d}{\mathrm dx}(\cos x)

=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x\boxed{+\sec x\times(-\sin x)}

=\dfrac{\mathrm d}{\mathrm dx}(\sec x)\times\cos x\boxed{-\sec x\times\sin x}

(meaning that a factor of \sin x is overlooked)

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2 months ago
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We apply the slope formula by substituting the given points.

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