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iogann1982 [59]
3 years ago
9

If the area of the face of a cube is 16 square meters, find the cubeâs volume.

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
4x4x4=64. Hope that helps
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When asked to state the simple linear regression model, a student wrote it as follows: E(Yi) = βo + β1Xi + ei . Do you agree? Ex
Viktor [21]

Answer:

No. See the explanation below.

Step-by-step explanation:

No. When we have the lineal model given by:

Y_i = \beta_0 +\beta_1 X_i +\epsilon_i , i = 1,....,n

For n observations, where y represent the dependent variable, X represent the independent variable and \beta_0, \beta_1 are the parameters of the model, we are assuming that \epsilon is and independent and identically distrubuted variable that follows a normal distribution with the following parameters e\sim N(\mu=0,\sigma^2).

So then the expected value for any error term is E(\epsilon_i) =0, i =1,...,n

So then if we find the expected value for any observation we have this:

E(Y_i) = E(\beta_0 +\beta_1 X_i +\epsilon_i) , i = 1,....,n

Now we can distribute the expected value on the right by properties of the expected value like this:

E(Y_i) = E(\beta_0) +E(\beta_1 X_i) +E(\epsilon_i), i =1,...,n

By properties of the expected value E(aX) =aE(X) if a is a constant and X a random variable, so then if we apply this property we got:

E(Y_i) = \beta_0 +\beta_1 E(X_i) +0 ,i=1,...,n

E(Y_i) =\beta_0 +\beta_1 X_i, i=1,.....,n

And if we see that'ts not the result supported by the claim for this reason is FALSE the statement.

5 0
4 years ago
Please help me thank you.
Alexxandr [17]

Answer:

B

Step-by-step explanation:

3      -4    |   2

0      -1     |   7

3/2    -2    |   1

R1/3 ----> R1  (divide Row 1 by 3)

1       -4/3    |  2/3

0        -1      |   7

3/2      -2     |   1

R3 - 3/2  R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)

1      -4/3    |   2/3

0       -1      |    7

0       0      |    0

R2 / -1 -------> R2 (Divide Row 2 by -1)

1      -4/3   |  2/3

0        1     |   -7

0        0    |   0

R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)

1     0     |   -26/3

0    1      |      -7

0    0     |      0

5 0
4 years ago
When the diameter is two what is the radius of a cylinder?
marusya05 [52]

Answer:

1

Step-by-step explanation:

if the diameter is 2, the radius will be half of the diameter. so it will be 1. so the radius will be 1

5 0
3 years ago
Read 2 more answers
Find the coordinates of line segment A' B' with pre - image A (1, 6) and B (2, -4) and scale
OverLord2011 [107]
Can u show the image
3 0
3 years ago
At the fall festival the tennis team is selling hamburgers for $2.00, hotdogs for $1.50, and drinks for $1.00. Half of the money
UNO [17]
I believe its $79. 2.00 times 21 is 42, 1.50 times 34 is 51 and 1.00 times 65 is 65. divide the sum of these three numbers and you get 79.
8 0
3 years ago
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