1. What is the solution to the system of equations?
1 answer:
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The solution is shown in the photo
Answer:
The margin of error is 6.45.
Step-by-step explanation:
The complete question is:
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.
Determine the margin of error, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, σ = 15 points.
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
The margin of error for this interval is:
Given:
<em>n</em> = 36
σ = 15
(1 - <em>α</em>)% = 99%
Compute the critical value of <em>z</em> for 99% confidence level as follows:
*Use a <em>z</em>-table.
Compute the value of MOE as follows:
Thus, the margin of error is 6.45.
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The solution of the equation is (0,8)
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Given information-
The first equitation given in the problem is,
Divide both side of the above equation with 5 as,
.......1
Let the above equation as equitation 1.
The first equitation given in the problem is,
Put the value of <em>y</em> form the equation 1 in the above equation as,
Put the value of <em>x</em> in the equation one as,
Thus the solution of the equation is (0,8)
Learn more about the system of equations here;