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Leno4ka [110]
3 years ago
11

A rectangle has a width of 46 centimeters and a perimeter of 208 centimeters. What is the rectangles length

Mathematics
1 answer:
alexdok [17]3 years ago
4 0
208- ( 2* 46)= X
208- 92=2x
x=58

The length is 58cm.

Check by:
58*2 +46*2
116+92= 208
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In a multiple regression equation, two independent variables are considered, and the sample size is 30. The regression coefficie
MAXImum [283]

Answer:

Both the variables are important for the regression analysis and cannot be deleted.

Step-by-step explanation:

(1)

The hypothesis for for the testing of coefficient β₁ are:

<em>H</em>₀: β₁ = 0 vs. <em>H</em>ₐ: β₁ ≠ 0

The test statistic is:

t=\frac{b_{1}}{S_{b_{1}}} =\frac{2.815}{0.75}= 3.753

It is provided that H₀ is rejected if <em>t</em> > 2.042.

The test statistic value, <em>t</em> = 3.753 > 2.042.

Thus, the null hypothesis is rejected.

<u>Conclusion:</u>

There is a significant relationship between the regression variable and the dependent variable.

(2)

The hypothesis for for the testing of coefficient β₂ are:

<em>H</em>₀: β₂ = 0 vs. <em>H</em>ₐ: β₂ ≠ 0

The test statistic is:

t=\frac{b_{2}}{S_{b_{2}}} =\frac{-1.249}{0.41}= -3.046

It is provided that H₀ is rejected if <em>t</em> < -2.042.

The test statistic value, <em>t</em> = -3.046 < -2.042.

Thus, the null hypothesis is rejected.

<u>Conclusion:</u>

There is a significant relationship between the regression variable and the dependent variable.

Thus, both the variables are important for the regression analysis and cannot be deleted.

7 0
3 years ago
Este plzzz.
Yuki888 [10]

Answer:

La superficie es 194.94cm cuadrados

Step-by-step explanation:

¡Espero que esto ayude!

¡Por favor marque el más inteligente!

3 0
3 years ago
What should you conclude if, after solving an equation, the result is 1/2= 2/3
hram777 [196]

Answer:

no solution

Step-by-step explanation:

1/2 = 2/3

This is not a true statement.  If you get this after solving an equation, there is no solution to your equation.

5 0
3 years ago
Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and
exis [7]

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

7 0
3 years ago
Find an equation of the line perpendicular to y = -1/2x – 3 that crosses the point
alisha [4.7K]

Answer:

<em>y = 2x + 4 </em>

Step-by-step explanation:

y = - \frac{1}{2} x - 3

Slope of perpendicular line is "2"

( - 3 , - 2 )

y + 2 = 2( x + 3 )

<em>y = 2x + 4</em>

6 0
3 years ago
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