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3 years ago

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

The slope of this line is:

3-(-6)

m = ------------ = 1

3-(-3)

and so, using the point-slope formula for the equation of a str. line,

y-3 = 1(x-3), or y-3 = x - 3, or 1x - 3 - y + 3 = 0. Then 1x - 1y = 0 (in standard form). Alternatively, y = x (slope-intercept form).

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Change these times to 24-hour clock b 1.15 pm c 04 05

meriva

Answer:

b) 13:15

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3 years ago

Read 2 more answers

The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.

Alex787 [66]

Divide them all together.

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2 years ago

The smaller of two numbers is one-half the larger, and their sum is 27. Find the numbers. I need an answer in 10 minutes

Alex777 [14]

Answer:

18 and 9

Step-by-step explanation:

The numbers are x and 1/2x.

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3/2x = 27

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3 years ago

The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th

Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The first step is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

Now we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0

3 years ago

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

torisob [31]

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$s(av) = \frac{∆x}{∆t} \\$

$s(av) = average \: \: speed$

$∆x = covered \: \: distance$

$∆t = time \: \: of \: \: the \: \: covered \: \: distance \\$

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$s(av) = \frac{183}{3} \\$

$s(av) = 61 \: \: \frac{mile}{hour}$

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5 0

2 years ago