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3 years ago

Write a rule to describe the transformation

Mathematics

2 answers:

lesya [120]3 years ago

6 0

Answer:

Step-by-step explanation:

you need to subuce the x-2 and y-6

Vesna [10]3 years ago

4 0

D is the correct answer

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The curved part of this figures is a semicircle.

vovangra [49]

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

$Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65$

Radius is half of diameter, so the radius is

$Radius= \frac{ \sqrt{65}}{2}$

Formula of area of circle is

$Area = \pi r^2$

So the area of semicircle is

$=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units$

And the other figure is a triangle, with

$Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4$

$Area = (1/2)*4*7= 14 square units$

Therefore, total area is the sum of area of semicircle and area of triangle,

And we will get

$Total \ area= 14 + 8.125 \pi \ units^2$

Correct option is the third option .

3 0

3 years ago

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Steve draws a triangle in ink on a sheet of paper. He folds the paper in half before the ink dries, pressing the ink on to the o

madreJ [45]

Answer:

2nd picture is right......

3 0

3 years ago

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Which picture has a line of symmetry

Arturiano [62]

Add the picture pls

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3 years ago

Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut

defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .