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fenix001 [56]
2 years ago
11

How to find the theoretical mean and standard deviation using central limit therom.

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
6 0

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

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A man walks for x hours at a speed of
alexandr1967 [171]

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

Speed=\dfrac{Distance}{Time}

Speed\times Time=Distance

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

D_1=(x+1)(x) km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

D_2=(2x+5)(x-1) km

Now,

Total distance = 90 km

D_1+D_2=90

(x+1)x+(2x+5)(x-1)=90

x^2+x+2x^2-2x+5x-5-90=0

3x^2+4x-95=0

3x^2+19x-15x-95=0

x(3x+19)-5(3x+19)=0

(3x+19)(x-5)=0

3x+19=0\text{ and }x-5=0

x=\dfrac{-19}{3}\text{ and }x=5

Time cannot be negative. So, the only possible value of x is 5.

3 0
3 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
- 3x + 9 - 4 = x + 3 + 2x​
Gwar [14]
-3x + 9 - 4 = x + 3 + 2x
-3x + 9 - 4 = 3x + 3
9 - 4 = 6x + 3
5 = 6x + 3
2 = 6x
1/3 = x
6 0
3 years ago
Read 2 more answers
What percent of 500 is 50?​
mestny [16]

Answer:50/500×100=10%

Therefore, 10% of 500 is 50.

Hope this answer helps you...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x
iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

6 0
3 years ago
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