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spin [16.1K]
3 years ago
8

-y=8x in slope intercept form

Mathematics
1 answer:
Temka [501]3 years ago
3 0
-y=8x
Since slope intercept form is the form: y=mx + b
And <span>-y=8x is basically -y=mx 
All you have to do is divide -y by -1 so that the negative of the variable goes away.
Final Answer: y= -8x</span>
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The thicknesses of 81 randomly selected aluminum sheets were found to have a variance of 3.23. Construct the 98% confidence inte
Yuliya22 [10]

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[(n - 1)\times S^{2}  /  X^{2}  \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2}  / X^{2} 1- \alpha/2, n- 1 ]

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

X^{2}_{[\alpha/2, n - 1]}   = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

8 0
2 years ago
The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k
riadik2000 [5.3K]

Answer:

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3      and   g(x) = x² - 6.....(*)

g(x) = x² +3 + k.....(**)

by (*) and (**) : 3+k = -6

3+k - 3 = - 6 - 3

k = - 9

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Step-by-step explanation:

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Step-by-step explanation:

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