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____ [38]
3 years ago
12

Find the perimeter and area of each figure.​

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

  1. A = 2x; P = 4x+2. A = 4; P = 10.

  2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

  A = x + x

  A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

  P = 1 + (x-1) + x + 1 + (x+1) + x

  P = 4x +2

__

When x=2, these values become ...

  A = 2·2 = 4 . . . . square units

  P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

  A = y² + 1 + 1

  A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

  P = y +(y-2) +1 +2 +(y+1) +y

  P = 4y +2

__

When y=5, these values become ...

  A = 5² +2 = 27 . . . . square units

  P = 4·5 +2 = 22 . . . . units

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Answer:

p_v =P(t_{(5)}>0.499) =0.319

The p value is higher than any significance level given for example \alpha=0.05,0.1, so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations we can use it.  

Let put some notation  

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y: 70 85 90 110 71 80 69 74

The system of hypothesis for this case are:

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Alternative hypothesis: \mu_x -\mu_y >0

The first step is define the difference d_i=x_i-y_i, that is given so we have:

d: 6.6, 4.2, -5.5, -3.1, 9.3, -3.9

The second step is calculate the mean difference  

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The third step would be calculate the standard deviation for the differences, and we got:

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The next step is calculate the degrees of freedom given by:

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Now we can calculate the p value, since we have a right tailed test the p value is given by:

p_v =P(t_{(5)}>0.499) =0.319

The p value is higher than any significance level given for example \alpha=0.05,0.1, so then we can conclude that we FAIL to reject the null hypothesis. So we don't have enough evidence to conclude that the mean reading is greater for the auscultatory method at 5% or 10% of significance.

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3 years ago
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Answer:

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Step-by-step explanation:

So you can replace the x in the first equation:

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x = 7

ANSWER: x is 7 and y is 0

3 0
3 years ago
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