If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?
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The values of x and y such that AB is perpendicular to CD will be 19 and 14.5.
<h3>What is an angle?</h3>The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
AB and CD intersect at point E.
If measure angle AED equals 6x – 24 and measure angle CEB equals 4y + 32.
Then the values of x and y such that AB is perpendicular to CD will be
6x – 24 = 90
6x = 114
x = 19
Then we have
4y + 32 = 90
4y = 58
y = 14.5
More about the angled link is given below.
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The 95% confidence interval based on the same data is 5.15 < μ < 6.05
Because it has a longer interval, the 95 percent confidence interval offers more details.
<h3>What is a confidence interval?</h3>The likelihood that a parameter will fall between two values near the mean is shown by a confidence interval.
Confidence intervals quantify how certain or uncertain a sampling technique is.
Confidence intervals are used by statisticians to gauge the degree of uncertainty in a sample variable.
The 90% confidence interval is given by:
Mean - 1.645(S.D./) < μ < Mean + 1.645(S.D./
)
2μ = 5.22 + 5.98 = 11.2
μ = 11.2 / 2 = 5.6
Thus,
5.6 - 5.22 = 1.645(S.D./) = 0.38
S.D./ = 0.38 / 1.645 = 0.231
The 95% confidence interval is given by:
Mean - 1.96(S.D./) < μ < Mean + 1.96(S.D./
)
=5.6 - 1.96(0.231) < μ < 5.6 + 1.96(0.231)
= 5.6 - 0.4528 < μ < 5.6 + 0.4528
= 5.15 < μ < 6.05
The 95% confidence interval provides more information because it has a larger interval.
Learn more about confidence intervals here:
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