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noname [10]
3 years ago
5

HURRY I HAVE 30 MINUTES What are the x and y coordinates of point E, which partitions the directed line segment from J to K into

a ratio of 1:4?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

(-7, -1)

Step-by-step explanation:

The ratio is 1:4, the total is 1 + 5 = 5, so the partition is at 1/5 of the total length.

x2 - x1 = 25 - (-15) = 40

1/5 * 40 = 8

-15 + 8 = -7

x = -7

y2 - y1 = 15 - (-5) = 20

1/5 * 20 = 4

-5 + 4 = -1

y = -1

Answer: (-7, 1)

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Express the trig ratios as fractions in simplest terms.
Neporo4naja [7]

Answer:

See below

Step-by-step explanation:

\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}

Hence, both ratios are equal to each other

3 0
2 years ago
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul
drek231 [11]

Answer:

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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 of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that n = 1012, \pi = \frac{374}{1012} = 0.3696

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 size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}

E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}

\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0
3 years ago
SOMEONE PLEASE HELPPP!!!
erastova [34]

Answer: 6 hours

Step-by-step explanation:

You would first start by making 1 3/5 into a mixed fraction. Getting 8/5. Then you’d divide that by 3/4 and get 6/5. Which then you’d multiply it by 5 and get 6 hours.

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