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zmey [24]
4 years ago
15

Which expressions are equal to​

Mathematics
1 answer:
Lesechka [4]4 years ago
5 0

Answer:

12^3 and 2^6*3^3

Step-by-step explanation:

Okay so the equation is (6^3*2^6)/2^3

simplify the exponents

(216*64)/8

solve the parenthesis

13824/8

divide

1728

1728 is equal to the following;

12^3 and 2^6*3^3

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A group of researchers conducted a study to determine whether the final grade in an honors section of introductory psychology wa
pishuonlain [190]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

And for this case r =0.45

The % of variation is given by the determination coefficient given by r^2 and on this case 0.45^2 =0.2025, so then the % of variation explained is 20.25%.

The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.

Step-by-step explanation:

For this case we asume that we fit a linear model:

y = mx+b

Where y represent the final grade and x the math ability scores

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

\bar x= \frac{\sum x_i}{n}  

\bar y= \frac{\sum y_i}{n}  

And we can find the intercept using this:  

b=\bar y -m \bar x  

The correlation coeffcient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

And for this case r =0.45

The % of variation is given by the determination coefficient given by r^2 and on this case 0.45^2 =0.2025, so then the % of variation explained is 20.25%.

The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.

4 0
3 years ago
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

Hence, the constant of variation is 5

5 0
3 years ago
I neeed helppppp plssssssssssssssss
Ira Lisetskai [31]
Well since there are 8 total possible outcomes you would take 8 and divide it by the total of green parts which would be 2 so you would do 8 divided by 2 which would give you 4 so your answer would be 4

Hope this helps
4 0
3 years ago
Read 2 more answers
What is the coefficient of the x^5y^5 term in the binomial expansion of (2x-3y)^10?
nalin [4]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expression is

(2x-3y)^{10}

The nth term in this expansion is calculated using the formula,

T_{r+1} = nC_ra^{n-r}b^r

To find the term with coefficient

{x}^{5}  {y}^{5}

we substitute r=5, n=10, a=2x, and b=-3y

T_{6} = 10C_5(2x)^{10-5}( - 3y)^5

T_{6} = 10C_5(2x)^{5}( - 3y)^5

T_{6} = 10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

The coefficient is

10C_5(2)^{5}( - 3)^5

The second choice is correct.

5 0
4 years ago
Question 1
SSSSS [86.1K]

It's the water

The salt would be the solute that dissolves in the solvent.

Temp - is a factor

(affecting rate at which salt dissolves)

grams - unit of measure

Hope this helps!

3 0
2 years ago
Read 2 more answers
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