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ss7ja [257]
3 years ago
7

5E%7B3%7D%20yz%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="9x {}^{2} y {}^{3} z {}^{5} \div 6x {}^{3} yz {}^{2} " alt="9x {}^{2} y {}^{3} z {}^{5} \div 6x {}^{3} yz {}^{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

3y²z³ / 2x

Step-by-step explanation:

we can take one term at a time:

9/6 can be simplified to 3/2

x²÷x³ = x^-1 which equals \frac{1}{x}

y³÷y = y²

z⁵÷z² = z³

put it all together:

3·\frac{1}{x}·y²·z³ / 2  or

3y²z³ / 2x

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shtirl [24]
Number one is none of them
6 0
2 years ago
If the coefficient of determination is 0.25 and the sum of squares residual is 180, then what is the value of SSY?
Gennadij [26K]

Answer:

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2 =180  

And we have this property  

SST==SSY=SS_{regression}+SS_{error}=SSR+180

If we solve for SSR we got:

SSR= SSY-180    (1)

And we know that the determination coefficient is given by:

R^2 = \frac{SSR}{SSY}

We know the value os R^2= 0.25 and we can replace SSR in terms of SSY with the equation (1)  

R^2 =0.25= \frac{SSY-180}{SSY}= 1-\frac{180}{SSY}

And solving SSY we got:

\frac{180}{SSY}=1-0.25=0.75

SSY= \frac{180}{0.75}=240

And then SSY=SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2 =240  

C. 240

7 0
3 years ago
a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?
erastovalidia [21]

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

\frac{4}{20} = \frac{x}{360}

Cross multiply:

1440 = 20x\\

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

4 0
2 years ago
Five buses leave on a field trip .There are about 45 students per bus.About how many students are on the 5 buses.
dangina [55]
45 x 5 = 225 so 225 students altogether on 5 buses
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3 years ago
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Math problem 10 points!
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The answer is A that’s the answer
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