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Mamont248 [21]
3 years ago
9

Sam is conducting a science experiment about the effects of fertilizer on the growth of a plant. In week 1, his plant grew 12.26

centimeters. In week 2, his plant grew 7 centimeters. In week 3, his plant grew 5.79 centimeters.
What was the total growth of his plant during the 3 weeks?


A. 18.12 centimeters

B. 24.65 centimeters

C. 24.95 centimeters

D. 25.05 centimeters
Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

25.05

Step-by-step explanation:

12.26 + 7 + 5.79 = 25.05

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
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The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

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For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

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So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

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