As h(x) approaches 10+ the limit is given as 18.5
<h3>What is limit in mathematics?</h3>
The limit in mathematics has to do with the value that a function would approach as the input in the limit approaches a particular value.
It is when a function would be made to approach output at a particular input value. The concept is very important in calculus as well as analysis in mathematics. They help to define integrals, derivatives as well as continuities in mathematics.
<h3>How to solve for the limit</h3>
The x equation that we have in the question is given as
x = (10+n)
We are to find the limit of lim h(10+n)
This is as h tends towards 10.
h→10
When we go to the table we would observe what happens as 10 moves towards this value. In the given table we would have h as it tends towards 10. In the right hand side of this table we would see that as X is moving towards 10, the value changes to 18.5
Hence the answer to this question is 18.5
Read more on limits here:
brainly.com/question/23935467
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The sampling distribution of the difference in sample means x⁻₁ - x⁻₂ is; 3.5 - 3.5 = 0
<h3>Difference in sample means</h3>
We are told that;
- A fair six-sided die, with sides numbered 1 through 6, will be rolled a total of 15 times.
- x⁻₁ represents the average of the first ten rolls.
- x⁻₂ represents the average of the remaining five rolls.
Now, the average of the largest and lowest numbers of the six sided die is;
E(x) = (6 + 1)/2 = 3.5
Thus, the average mean of the first ten rows is expressed as;
E(x⁻₁) = (n * E(x))/n
E(x⁻₁) = (10 * 3.5)/10
E(x⁻₁) = 3.5
The average mean of the last five rolls will be;
E(x⁻₂) = (n * E(x))/n
E(x⁻₂) = (5 * 3.5)/5
E(x⁻₂) = 3.5
Thus;
x⁻₁ - x⁻₂ = 3.5 - 3.5 = 0
Read more about difference in sample means at; brainly.com/question/16428987
