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soldier1979 [14.2K]

3 years ago

10

A man starts walking from home and walks 4 miles east, 4 miles southeast, 7 miles south, 6 miles southwest, and 2 miles east. ho

w far has he walked?

1 answer:

sveticcg [70]3 years ago

4 0

He has walked 23 miles.

To solve this, you simply need to add all of the distances together.

4 + 4 + 7 + 6 + 2 = 23

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Geometry grade 10 how do we see the adjecent side

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Answer: These sides are labeled in relation to an angle. The opposite side is across from a given angle. The adjacent side is the non-hypotenuse side that is next to a given angle.

Step-by-step explanation:

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1 year ago

There are 4 cups in a quart and 4 quarts in a gallon how many cups in a 5 gallon jug of water

Marysya12 [62]

80 cups in a 5 gallon jug of water.

1 quart has 4 cups
1 gallon has 4 quarts
1 gallon = 4 quarts * 4 cups = 16 cups

5 gallons = has 80 cups of water.

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3 years ago

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Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

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antoniya [11.8K]

The answer would be 3.4

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