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Tema [17]
3 years ago
14

Help can you answer this? and show working out

Mathematics
1 answer:
Nataly [62]3 years ago
5 0
What number do you need help with

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

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

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
3 years ago
Dustin had $52 he got $49 more and then he spent some money dustin has $35 left how much money did dustin spend
sveta [45]
The answer: Dustin spent $66

$52+$49=$101
$101-$35=$66
5 0
3 years ago
Read 2 more answers
Describe a capricormus constellation ​
Helen [10]

Answer and Step-by-step explanation:

Capricornus is a zodiac thing. Its name is Latin and it means "horned goat" or "goat horn" or "having horns like a goat's", it is something along those lines. It is commonly represented in the form of a sea goat.

6 0
3 years ago
Write each power as a product of the same factor. Then find the value. 7^2
Anvisha [2.4K]

Answer:

49

Step-by-step explanation:

7^2=49

3 0
3 years ago
1. Heather has a very important exam to take in the morning. Since she wants to be sure that she will wake up in time, she sets
Klio2033 [76]
The correct answer for the question that is being presented above is this one: "C. 0.9604." T<span>he probability that at least one of the alarm clocks will wake her up is </span>0.9604. Heather has a very important exam to take in the morning. <span>Since she wants to be sure that she will wake up in time, she sets two alarm clocks. </span>
5 0
3 years ago
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