Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3
1 answer:
Answer:
Multiply equation by 5 and
by 4
Step-by-step explanation:
Given:
Equations are
To find: constant by which each equation should be multiplied to eliminate the variable in the given system of equations
Solution:
Multiply equation (i) by 5 and (ii) by 4 to get the following equations:
On subtracting these equations, we get
So, the variable gets eliminated
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Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:
Hence the bounds of the interval are found as follows:
The 95% confidence interval is (0.2316, 0.3112).
More can be learned about the z-distribution at brainly.com/question/25890103