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mash [69]
3 years ago
13

The path a character takes to navigate a level of a video game is given in the following graph.

Mathematics
1 answer:
mylen [45]3 years ago
4 0

The domain is the set of x values that has a corresponding y-values in a function or a graph.

The domain of the graph is: -10 \le x \le 10

From the graph (see attachment), we have the following observation

  • The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))
  • The value x ends at 10 (represented by the slant line on the first quadrant)

These values can be represented as:

x_1= -10

x_2 = 10

So, the domain of x is: -10 \le x \le 10

Read more about domain at:

brainly.com/question/24302079

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If a scale factor of 4.6 is applied to the parallelogram, what will be the perimeter of the new parallelogram?
anyanavicka [17]

Answer:

The new perimeter is 4.6 times the original perimeter of the parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided figure, such that the opposite sides are parallel.

So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)

The perimeter of one parallelogram is then:

P = 2*L + 2*W = 2*(L + W)

If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6

This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W

Then the new perimeter is:

P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]

And the thing inside brackets is equal to the original perimeter, then:

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4 0
3 years ago
Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather app
Sunny_sXe [5.5K]

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

   The  population mean is  less than  1.5

   The sample size is  n  =  7

   The sample data is   2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as  

     \=  x =  \frac{ \sum x_i }{ n }

=>  \=  x =  \frac{ 2 +  0 +  1 +  5 +  0 +  2 +   3 }{ 7 }

=>  \=  x =  1.857

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }

=>   \sigma  =  \sqrt{\frac{ (2 -   1.857)^2 +  (0 -   1.857)^2 +\cdots  (3 -   1.857)^2}{7} }

=>   \sigma  =  1.773

The null hypothesis is  H_o :  \mu  =  1.5

The alternative hypothesis is H_a  :  \mu  < 1.5

Generally the test statistics is mathematically represented as

     z  =  \frac{\= x  -  \mu }{ \frac{\sigma }{\sqrt{n} } }

=>   z  =  \frac{\= x  - 1.857 }{ \frac{1.773 }{\sqrt{7} } }  

=>z =  0.53

Generally the p-value is mathematically represented as

      p-value  =  P(z  < 0.53 )

From the z-table  

        P(z  <  0.53 ) =  0.70194

So

       p-value  =  0.70194

From the values obtained we see that p-value  >  0.05  

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

7 0
3 years ago
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