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skad [1K]
3 years ago
5

Can someone please explain number 6 to me ! :((

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

A  24 -gon has 24 exterior angles. Each exterior angle measures 36024=15 . The interior angle measures 180−15=165 . The sum of the 24 interior angles is then 24⋅165=3960

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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
Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev
SVEN [57.7K]
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
                                         at = (a1)(2^t/2)

where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
                                      a6 = (103)(2^6/2) = 824 

Thus, there are 824 bacteria after 6 hours. 
8 0
3 years ago
Read 2 more answers
A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo
madreJ [45]

Answer: 2:3.

Step-by-step explanation:

\displaystyle\\\frac{The\  height\ of\  a\  model \ of \ a\  famous \ statue }{The\  height\ of\  the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.

3 0
1 year ago
B. Suppose Q is the midpoint of PR. What is the<br> justification for the statement that PQ = QR?
Natasha2012 [34]
The midpoint bisects PR, making it 2 equal halves.
5 0
3 years ago
What is the minimum y value of the following quadratic function? f(x) = x2 - 6x + 8
tia_tia [17]

Answer:

14

Step-by-step explanation:

k

=

c

−

b

2

4

a

We know that

a

=

1

,

b

=

−

8

and

c

=

2

, so let's substitute:

k

=

2

−

(

−

8

)

2

4

(

1

)

=

2

−

64

4

=

2

−

16

=

−

14

.

So, we have

min

=

−

14

. Let's check:

graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}

8 0
2 years ago
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