Answer:
A=941.33 square inches.
Step-by-step explanation:
The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33
Distance = Average speed * Time = 48*10 = 480 miles
So, they drove for 480 miles
Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean
and standard deviation
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597