Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
Answer: B
Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375
The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1
<h3>What is the degree of freedom for dependent variables?</h3>
In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.
The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1
Learn more about calculating degrees of freedom for dependent variables here:
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Answer:
x=3
Step-by-step explanation:
Since this is an isosceles trapezoid
The angles at the top have to equal each other
112 = 30x + 11y
The sides also have to equal each other.
12 = 2x+3y
Divide each side by 3
12/3 = 2x/3 + 3y/3
4 = 2/3 x +y
Subtract 2/3 x from each side
4 -2/3 x =y
Substitute this into the first equation
112 = 30x + 11y
112 = 30x +11(4-2/3x)
112 = 30x +44 -22/3 x
Subtract 44 from each side
112-44 = 30x +44-44 -22/3 x
68 = 30x -22/3 x
Get a common denominator on the right of 3
68 = 90/3x -22/3 x
68 = 68/3 x
Multiply each side by 3/68
68 * 3/68 = 68/3 * 3/68 x
3 =x
