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4 years ago

Which is 144 written as a power of a number

Mathematics

1 answer:

s2008m [1.1K]4 years ago

5 0

12^2 What is it's square root or basically you could divide it so it's 12 to the power of 2 or 12^2

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Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca

Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

$Y= 21.839 +0.724 X$

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by $\beta_1 = 0.724$ and the intercept is $\beta_0 = 21.839$

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

3 0

3 years ago

If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.

Nadya [2.5K]

Differentiating once, we have

$f'(x)=f'(x)g(x)+f(x)g'(x)$

Differentiating again,

$f''(x)=f''(x)g(x)+f'(x)g'(x)+f'(x)g'(x)+f(x)g''(x)$
$f''(x)=f''(x)g(x)+2f'(x)g'(x)+f(x)g''(x)$

as needed.

5 0

3 years ago

Point A is at (-6,8) and point B is at (6, -7).<br> What is the midpoint of line segment AB?

Vsevolod [243]

The midpoint between the two points are (0,1/2)

3 0

3 years ago

Elise and her younger brother, Reid, take turns loading the dishwasher after dinner. Because she is older, Elise loads the dishw

erik [133]

Answer:

Step-by-step explanation:

so for every 3 Reid washes there are 4 Elsie washes

the ratio of washing is 3:4

lets add 3 and 4 up

3 + 4 = 7

now lets divide the total number of washes by the added ratio

84/ 7

=12

now we know that 1 part is 12

to find Elsie's part we need to x 12 by how many parts she has got

she washed 4 times

4 x 12

=48

5 0

3 years ago

An empty water tank is being filled at the rate of 20 liters per minute.

Nataliya [291]

Answer:

230

Step-by-step explanation:

20x11=220

20x0.5=10

220+10=230

3 0

3 years ago