Write an expression for the situation
1 answer:
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Answer:
The estimate is
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as
Next we obtain the critical value of from the normal distribution table, the value is
Generally the margin of error can be mathematically represented as
=>
=>
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is
substituting values
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function </u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).