Find using Pythagorean theorem Find the distance (2, 8) (3, -9)
1 answer:
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<u>Given</u>:
The given equation is
We need to determine the exact solutions of the equation.
<u>Exact solution:</u>
The exact solution of the equation can be determined by solving the equation using quadratic formula,
From the equation the values are a = 1, b = -3 and c = -7
Thus, substituting these values in the equation, we get;
Thus, the exact solutions of the given equation is
Hence, Option A is the correct answer.
Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2
confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965