Answer:
8 feet
Step-by-step explanation:
Given that 96 sq. feet of tile is bought to retile the bathroom.
It means area of bathroom is 96 sq. feet
Width of bathroom be x
Given that the length of the bathroom is one and a half times the width
Length of bathroom in term sod width = 1 1/2* x = 3/2 x
we know area of rectangle is given by length * width
therefore area of bathroom =( x* 3/2 x) = 3/2 x^2
Also area of bathroom is 86 sq. feet, therefore
Thus, width of bathroom is 8 feet.
a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).
b) The margin of error is: 2.45%.
c) The 90% confidence is the level of confidence that the true population percentage is in the interval.
d) The needed sample size is: 271.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions has the bounds given by the rule presented as follows:
The margin of error is given by:
The variables are listed as follows:
The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of , so the critical value is z = 1.645.
The sample size and the estimate are given as follows:
The margin of error is of:
The interval is given by the estimate plus/minus the margin of error, hence:
For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:
n = 271 (rounded up).
More can be learned about the z-distribution at brainly.com/question/25890103
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