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3 years ago

14

Think of positive integer/ multiply the number by 2/ add 6/ divide 2 /subtract the original number in step 1/ the magic number i

s

1 answer:

Tresset [83]3 years ago

8 0

Positive integer: 2
2*2 = 4
4 + 6 = 10
10/2 = 5
5-2 = 3

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Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of

anyanavicka [17]

Answer:

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Of 150 adults selected randomly from one town, 30 of them smoke. This means that $n = 150, p = \frac{30}{150} = 0.2$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 - 2.575\sqrt{\frac{0.20*0.80}{150}} = 0.1159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 + 2.575\sqrt{\frac{0.20*0.80}{150}}{119}} = 0.2841$

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

3 0

4 years ago

Solve . -2 (11 - 4j) = 14<br> (Solve for J)

Tpy6a [65]

Answer:

4.5

Step-by-step explanation:

-22 +8j = 14

8j = 14 + 22

8j = 36

j = 4.5

7 0

3 years ago

As an estimation We are told 5 miles is 8 km convert 27. 5 miles to km

OverLord2011 [107]

Answer:

approx. 44 km

Step-by-step explanation:

We are given that :

5 miles ------> 8 km

we divide both sides by 5 to get the unit rate:

1 miles ------> 8/5 km

Therefore:

27.5 miles -----> 27.5 miles x (8/5) = 44 km

5 0

3 years ago

Becky surveyed The 24th shoppers who spent the most time and money on her bouquet last month which might be the best reason that

liq [111]

Answer:

Becky has no friends

Step-by-step explanation:

and so do I

3 0

3 years ago

Find the missing angle measures of the following figure

Lisa [10]

Answer:

1 = 68

2 = 68

3 = 125

Step-by-step explanation:

Hey there!

To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180

180-73-39=68

1=68

angle 2 is vertical to angle 1 therefore they are congruent angles so

2 also equals 68

So we know that the interior angles in a 4 sided shape add up to equal 360

so to find 3 we subtract the given angles from 360

360-90-77-68=125

so 3 = 125

6 0

3 years ago