Square root of 15 is an irrational number.
Answer:
x=4 and y=1
Step-by-step explanation:
Equation 1) 3x+8y=20
Equation 2) 5x+3y=23
Equation 1) 5(3x+8y=20 )
Equation 2) 3(5x+3y=23)
15x+40y=100
15x+9y=69
(Take away 40y from 9y and 100 from 69)
31y = 31
y=1
Substitute y=1 into equation 1)
3x+8=20
(Take away 8 from both sides)
3x=12
(Divide by 3)
x=4
Answer: " y = -10 . "
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Step-by-step explanation:
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The question:
Find the value of "y" when "x" equals 17.
Given the equation:
- x + y = -27 ;
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We plug in the given value: "17" ; for "x" ; and solve for "y" :
- 17 + y = -27 ;
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↔ y + (-17) = -27 ;
Rewrite as:
y − 17 = -27 ; {since: "adding a negative value" is the same
as "subtracting a positive value."}.
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Now, we add "17" to each side of the equation;
to isolate "y" on one side of the equation; and to solve for "y" :
y − 17 + 17 = -27 + 17 ;
to get:
y = - 10 .
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Answer:

Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =

Chi square critical value for upper tail =

80% confidence interval:

Putting values, we get,

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.