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3 years ago

6

If Yeison can read 5/8 of a manga in 2/3 of an hour, how many can he read in TWO hours ? (I’ll give brainlest or whatever it’s c

alled)

1 answer:

iVinArrow [24]3 years ago

4 0

Answer:

1 and 7/8 in two hours

Step-by-step explanation:

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Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to hav

Svetllana [295]

Answer:

She needs a sample of at least 385.

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.

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

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 level

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

How large a sample should she take to achieve this?

She needs a sample of size at least n.

n is found when M = 0.04.

We do not know the true population proportion, so we use $\pi = 0.5$ , which is the case for which we are going to need the largest sample size.

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

$0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.05\sqrt{n} = 1.96*0.5$

Dividing both sides by 0.05

$\sqrt{n} = 19.6$

$(\sqrt{n})^{2} = 19.6^{2}$

$n = 384.2$

Rounding up

She needs a sample of at least 385.

3 0

3 years ago

Find the minimum distance between the point (-3,2) and the line y = -x + 1

Natasha2012 [34]

The minimum distance between the point(-3,2) and the line y = -x + 1 is $\sqrt{2}$ units.

<h3>What is a line segment?</h3>

The line that joins two points on a cartesian plane is a line segment.

Analysis:

The formula for calculating distance between a line and a point is

d = $\frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2} } }$

where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.

x1 and y1 are coordinates of the point.

for the line y = -x + 1 which is = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = $\frac{1(-3) + 1(2) + (-1)}{\sqrt{(-3)^{2} + 2^{2} } }$ = $\sqrt{2}$ units

In conclusion, the distance between the point and the line is $\sqrt{2}$ units

Learn more about distance between line segments: brainly.com/question/2437195

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4 0

2 years ago

5. If ∆MNO = ∆SQR, which of the following is true? (1 point)

Brrunno [24]

Where are the following options?

4 0

3 years ago

Read 2 more answers

Rock musician Donny West is paid 15% on his CD sales and tour video sales. Last year, he sold one million CDs and 550,000 videos

olganol [36]

He had $5,000,000 in CD sales; $3,300,000 in video sales; and he earned $1,245,000 in royalties.

1,000,000 CDs * $5 each = $5,000,000
550,000 videos * $6 each = $3,300,000

Total sales = 5,000,000+3,300,000 = 8,300,000
15% royalties = 0.15(8,300,000) = 1,245,000

5 0

4 years ago

a bag contains a total of 24 red and green peppers. the probability of reaching into the bag and choosing a red pepper is 2/3. h

ExtremeBDS [4]

Answer:

16 red peppers and 8 green peppers:)

Step-by-step explanation:

6 0

3 years ago