The larger of the two roots of the equation
would be 28.59.
<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is

Then its roots are given as:

The given quadratic equation is

now, the roots of the equation are

The two roots are 0.27 and 28.59.
Thus, the larger of the two roots of the equation
would be 28.59.
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Complete question:
The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line
Answer:
(3.699, 4.701)
Step-by-step explanation:
Given:
Sample size, n = 45
Sample mean, x' = 4.2
Standard deviation
= 2.0
Required:
Find a 90% CI for true mean time
First find standard error using the formula:




Standard error = 0.298
Degrees of freedom, df = n - 1 = 45 - 1 = 44
To find t at 90% CI,df = 44:
Level of Significance α= 100% - 90% = 10% = 0.10

Find margin of error using the formula:
M.E = S.E * t
M.E = 0.298 * 1.6802
M.E = 0.500938 ≈ 0.5009
Margin of error = 0.5009
Thus, 90% CI = sample mean ± Margin of error
Lower limit = 4.2 - 0.5009 = 3.699
Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701
Confidence Interval = (3.699, 4.701)
The side length of the square is a rational.
What is the area of the basement?
Any lower storey of a structure that is partially or completely below the lowest contiguous proposed ground level is referred to as a basement floor, provided that the portion of the storey above ground level does not exceed 75 cm.
Given: Taylor uses tape to mark a square play area in the basement for her daughter.
The area measures 28 ft2.
We know that the area of square is side length square.
As the area measures 28 square feet, so the side length of the square is, 28 feet.
Since 28 is a rational number.
Therefore, the side length of the square is a rational.
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Answer:
i think its c idk if im wrong im sorry
Step-by-step explanation:
If you're trying to make an inequality, it would be:
30 - 4x > -10.