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ICE Princess25 [194]
2 years ago
7

Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
5 0

Answer:

C

Step-by-step explanation:

Two secants drawn to a circle from a common external point, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(5 + x) = 4(4 + 10) = 4 × 14 = 56

25 + 5x = 56 ( subtract 25 from both sides )

5x = 31 ( divide both sides by 5 )

x = 6.2 → C

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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
The weight of a meteorite A is 7 times the weight of meterorite B. the sum of both is 176
PIT_PIT [208]

Answer:

B= 22, A=154

Step-by-step explanation:

our equation is 7B+B=176, when you solve that you get B=22, multipy B by 7 and you get the value of A, 154

5 0
3 years ago
Work out the gradient of straight line AB where A=(-3,7) and B=(7,-8)
jolli1 [7]
I think it’s asking for you to multiply (-3,7) and (7,-8)
So if it is it would be -21 times-56= 1,176 AB=1,176
7 0
3 years ago
Find the length of the indicated side of the similar figure.
bogdanovich [222]

Answer:

5

Step-by-step explanation:

in similar figures the side lengths must be proportional:

4/8 = x/10 cross multiply fractions

40 = 8x divide both sides by 8

5 = x

5 0
2 years ago
7 x 28<br> = 7(20 + 8<br> = (7 x 20)+(7<br> = 140 + 56<br> = 196
adell [148]

Answer:B

Step-by-step explanation:

5 0
3 years ago
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