There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies.
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An equation is formed of two equal expressions. The solution is (-9,-2).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation x + 3y = -15 and -3x + 2y = 23,
Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
3x + 9y = -45
Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
11y = -22
y = -2
Step4- Substitute the value of y in any one of equations to solve for x.
x + 3(-2) = -15
x - 6 = -15
x = -9
Hence, The solution is (-9,-2).
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Answer:
Confidence interval for the true mean number of reproductions per hour for the bacteria is (10.1,10.5).
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 10.3
Population standard deviation, σ = 2.1
Sample size, n = 728
Alpha, α = 0.01
Confidence interval:
Putting the values, we get,