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Burka [1]
3 years ago
9

Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after the consumption of 30 mL

of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.)
t (hours) 1.0 1.5 2.0 2.5 3.0
C(t) (mg/mL) 0.33 0.24 0.18 0.12 0.07

(a) Find the average change of C with respect to t over each time interval.
(i) [1.0, 2.0]
(ii) [1.5, 2.0]
(iii) [2.0, 2.5]
(iv) [2.0, 3.0]
(b) Estimate the instantaneous rate of change at t = 2.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Answer:

<u><em>note:</em></u>

<u><em>solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment</em></u>

Download docx
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Step-by-step explanation:

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The value of 6 dimes is what percent of value of a dollar?
vovangra [49]

Answer:

60%

Step-by-step explanation:

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3 years ago
Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

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kicyunya [14]
17 is the smaller number.
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The numbers are 24 and 17.

Difference of 7? Check.

Sum of 41? Check.

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