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navik [9.2K]
3 years ago
7

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201

8. Approximate the mean and standard deviation for age.
Age: 25-34. 35-44. 45-54. 55-64
Number 22.1. 31.5. 37.7. 25.3
(Millions)
Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

Mean  = 45.178

Standard Deviation = 10.33

Step-by-step explanation:

class                m              frequency, f           m \times f            f \times m^{2}      

25 - 34          29.5                22.1                   651.95         19232.525

35 - 44           39.5                31.5                  1244.25        49147.875

45 - 54           49.5                37.7                  1866.15        92374.425

55 - 64            59.5               25.3                 1505.35        89568.352

                                          116.6                    5267.7           250323.15

mean = \frac{5267.7}{116.6}  = 45.178      standard deviation  = \sqrt{\frac{250323.15 - \frac{(5267.7)^2}{116.6} }{(116.1 - 1)} }  =  10.33

                                       

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garik1379 [7]

Answer:

The light intensity is 528 foot-candles at 5 feet

Step-by-step explanation:

<em>If x and y are in </em><em>inverse variation</em><em>, then </em><em>x y = k</em><em>, where k is the constant of variation</em>

In the given question

∵ The intensity I, of light received at a source, varies inversely as the

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→ That means I × d² = k, where k is the constant of variation

∴ I × d² = k

∵ I = 33 foot-candle at d = 20 feet

→ Substitute them in the rule above to find k

∴ 33 × (20)² = k

∴ 33 × 400 = k

∴ 13200 = k

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∴ I × d² = 13200 ⇒ equation of variation

∵ d = 5

→ Substitute it in the equation to find I

∵ I × (5)² = 13200

∴ I × 25 = 13200

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6 0
3 years ago
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