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Lelu [443]
3 years ago
8

Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label "smoking regular

ly" for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as people who smoke regularly. What is the 90% confidence interval for this population proportion? Answer choices are rounded to the hundredths place.
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

The confidence interval for this proportion = (0.09, 0.13)

Step-by-step explanation:

Confidence Interval for Proportion =

p ± z ×√p(1 - p/n)

p = proportion = x /n

x = 71

n = 635

p = 71/635

p = 0.1118110236

p ≈ 0.1118

z score for 90% confidence interval = 1.645

Confidence Interval =

0.1118 ± 1.645 × √0.1118 (1 - 0.1118)/635

0.1118 ± 1.645 × √0.09930076/635

0.1118 ± 1.645 × √0.0001563791

0.1118 ± 1.645 × 0.0125051629

0.1118 ± 0.020570993

Confidence Interval =

0.1118 - 0.020570993

= 0.091229007

Approximately to the nearest hundredth ≈ 0.09

0.1118 + 0.020570993

= 0.132370993

Approximately to the nearest hundredth = 0.13

Therefore, the confidence interval for this proportion = (0.09, 0.13)

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Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
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Step-by-step explanation:

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3 years ago
Read 2 more answers
Please help i dont understand
Llana [10]

Answer:

imma say 45m

Step-by-step explanation:

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