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tino4ka555 [31]
3 years ago
11

Two women start at the same point. they walk in opposite directions for 3 meters, then turn right and walk another 4 meters. how

far apart are they?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0

The total distance between the two women would simply be the sum of the hypotenuse formed by the triangular path they created.

For each women:

<span>c^2  = a^2 + b^2</span>

c^2 = 3^2 + 4^2

c^2 = 9 + 16

c^2 = 25

c = 5 m

Therefore the distance between the two is:

distance between the two women = 2 * c

<span>distance between the two women = 10 m</span>

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A triangle has side lengths of (8d – 3) centimeters, (6d + 2) centimeters, and
alisha [4.7K]

The perimeter of a triangle is the sum of its side lengths.

The perimeter of the triangle is: 14d + 7f +7

<u>The sides of the triangle are:</u>

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The perimeter (P) is calculated as:

P = Side 1 + Side 2 + Side 3

So, we have:

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Remove brackets

P = 8d - 3 + 6d + 2 + 7f + 8

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P = 8d  + 6d + 7f - 3 + 2 + 8

P = 14d + 7f +7

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Read more about perimeters at:

brainly.com/question/6465134

3 0
3 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
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