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BlackZzzverrR [31]
2 years ago
6

What is the euclidean distance between x(3,2,5) and y(2,3,3) in three dimensional space?

Mathematics
1 answer:
Likurg_2 [28]2 years ago
5 0

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

<h3>Application</h3>

For the given points ...

  x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)

The distance between x and y is ...

  d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45

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Answer:

-7 x 1

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2 years ago
3 is 25% of what number?
stira [4]

Answer:

12

Step-by-step explanation:

25%=1/4

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3=1/4x

3 divided by 1/4 or 0.25 =12

6 0
3 years ago
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For all the following, which ones represent y as a function of x, and how do you know?
earnstyle [38]
Only 25 and 28 are functions.

A function must have only one y value per x value. For 26, the y value of 0 and multiple others have two different y values. For 27, all x values less than 0 have multiple y values.
4 0
3 years ago
The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts
ioda

Standard deviation = 3.3

The data point = 178

The mean = 184.7

<h2>Further Explanation</h2>

To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.

The formula for calculating a Z-score is as follows

z = \frac{data Point - Mean}{Standard Deviation}

This also implies

z = \frac{178 - 184.7}{3.3}

Z= -2.03

therefore, the correct answer is -2.03

A z-score determine the number of standard deviation from the mean a data point is.

some important factors about z-score include:

  • if it is a positive z-score, it indicates the data point is above average
  • if it is a negative Z-score, it indicates the data point is below average
  • if the z-score is close to 0, it then means the data point is close to average
  • if the z-score is above 3 or below -3, it is considered to be unusual

Learn More about Z-score at:

brainly.com/question/12876715

#learnwithbrainly

8 0
2 years ago
Mr. Ortega is buying a ham. He wants to divide it into 6-ounce servings for 12 people. Write and solve a division equation to fi
galben [10]

Answer:

division equation  

x/6 = 12

The size he should buy = 72 ounces

Step-by-step explanation:

Mr Ortega bought a ham. He wants to divide it into 6 ounce serving for 12 people . The division equation to find what size of ham Mr Ortega should buy is represented below.

Mr Ortega wants to share for each person 6 ounce serving for 12 people.

Let the amount of ounce he will buy = x ounces

Therefore, the division equation to find what size of hams Mr Ortega should buy will be

x/6 = 12

To find x we cross multiply

x = 12 × 6

x = 72 ounces

8 0
3 years ago
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