Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?
2 answers:
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Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.36
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
The complete question is
"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.
0 = 2x^2 – 7x – 9
0 = 4x^ 2 – 3x – 1
The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.
<h3>What is the formula for Discriminant?</h3>The formula for finding the discriminant is
The solution contains the term which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
For the quadratic equation
This equation has two real number solutions.
For the quadratic equation
This equation will have two real number solutions.
Learn more on discriminant here:
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