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atroni [7]
1 year ago
15

What is the location of A’ and did the figure get larger or smaller?

Mathematics
1 answer:
storchak [24]1 year ago
3 0

Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane.

If the scale factor is more than 1, then the image stretches. If the scale factor is between 0 and 1, then the image shrinks. If the scale factor is 1, then the original image and the image produced are congruent.

To dilate a figure by a scale factor, all the coordinates are multiplied by the scale factor.

The coordinates of point A are (8, 6). A dilation by a scale factor of 0.5 means that the figure will be reduced. The new coordinates will be:A

\begin{gathered} A^{\prime}=(0.5\times8,0.5\times6) \\ A^{\prime}=(4,3) \end{gathered}

Therefore, the FIRST OPTION is correct.

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Suppose you are conducting a survey about the amount grocery store baggers are tipped for helping customers to their cars .for a
ELEN [110]

Using the Empirical Rule and the Central Limit Theorem, we have that:

  • About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
  • About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

  • 1.73 - 0.09 = $1.64.
  • 1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

  • 1.73 - 3 x 0.09 = $1.46.
  • 1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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5 0
2 years ago
12−(3x+13)=0<br> Someone plz tell me i will mark brainliest
Amanda [17]

Answer:

Step-by-step explanation:

The starting equation is

12-(3x+13)=0

First add 3x+13 to both sides so that only 12 is on the left

12=3x+13

now subtract 13 from both sides to isolate your variable

-1=3x

Finally divide both sides by 3 to get your final answer

x=-1/3

3 0
3 years ago
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Need help asap!! (summer packet)
DiKsa [7]

Part A:

Function A:

Slope = (7-3)/(5-3) = 4/2 = 2

Equation:

y - 3 = 2(x - 3)

y - 3 = 2x - 6

y = 2x - 3

Funcion B:

(0, 3 ) and (-5, 0)

Slope = (3 - 0)/(0 + 5) = 3/5

y-intercept (0,3) so b = 3

Equation:

y = 3/5 x + 3

Function C:

y = 3x + 1

Part B:

Rate of change is the change in y over the change in x (rise/run). It's also the slope

Function A:     rate of change = 2

Function B:     rate of change = 3/5 (smallest)

Function C:     rate of change = 3   (largest)

Order linear functions based on rate of change from least to greatest.

Function B:             y = 3/5 x + 3

Function A:             y = 2x - 3

Function C:             y = 3x + 1

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Plot a point on the coordinate plane to represent each of the
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(1,4) you go right 1 time, and than go up 4.

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It is 7 times as much to go to an amusement park as it is to go to the movies if it is $9 to go to the movies how much is it to
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It will be 63 dollars to go to a amusement park
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