Solve the following system of equations using Cramer's rule.
x + 3y + 2z = 6, -x + 4y + 5z = 8, 2x + 5y + 3z = 10
We will solve the system of equations using Cramer's Rule, which is based on determinants. ### Given system of equations: 1. \( x + 3y + 2z = 6 \) 2. \( -x + 4y + 5z = 8 \) 3. \( 2x + 5y + 3z = 10 \) #### Step 1: Compute the Determinant of the Coefficient Matrix __________ __________ ________ _________ ________ ______ _____ _____ _______ ______ ___.
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A hospital specialising in heart surgery. In 2023 total of 1000 patients were admitted for treatment. The average payment made by a patient was Rs 1,00,000 with a standard deviation of Rs 20000. Under the assumption that payments follow a normal distribution, find the number of patients who paid between Rs 90,000 and Rs 1,10,000.
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