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Any transformation involving change of scale will not result in a congruent figure. Rotations and reflections and translations maintain congruence.
40x - 24 - 33x - 77 = 102
40x - 33x = 102 + 24 + 77
7x = 203
x = 29
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12, σ = 5000
degrees of freedom = n-1 = 12-1 = 11
Formula to find the value of z is:
Where is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
2n - 5 = 11
When n = 3:
2(3) - 5 = 1 ≠ 11
When n = 8:
2(8) - 5 = 11
When n = 9:
2(9) - 5 = 13
When n = 14:
2(14) - 5 = 23
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
Find out more on equation at: brainly.com/question/2972832
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