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a_sh-v [17]
3 years ago
8

List the transformations of the function. * 5 points f(x)= (1/2(- 1/4(x-3))+1

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :

  • vertical compression
  • horizontal stretch
  • reflection across y-axis
  • translates right
  • translates up
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The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and st
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The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

<h3>What is normal a distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.

The runners have times less than 14.4 sec.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3

Then the Percentage will be

\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%

More about the normal distribution link is given below.

brainly.com/question/12421652

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3 years ago
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all numbers that are evenly divisble by both 6 and 14 are also divisible by which of the following numbers? 8,12,21,28​
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Step-by-step explanation:

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How many thousands are in 600 tens?
insens350 [35]
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Answer:

Part A

The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)

Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)

The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)

Please find attached the graph of triangle ΔLMN and ΔL'M'N'

Part B

The lines drawn through L and L' and through M and M' are colinear

Part C

A line is defined by two points, such as <em>L </em>and <em>M.</em> Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.

The third point, <em>N</em>, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage

Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'

Step-by-step explanation:

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3 years ago
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