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Mathematics
A Survey of Mathematics with Applications
575 SOLVED PROBLEMS
Question: 12.5.3
Determining the Area Under the Normal Curve Determine the area under the normal curve a) to the left of z = -1.00. b) to the left of z = 1.19. c) to the right of z = 1.19. d) between z = -1.62 and z = 2.57. ...
Verified Answer:
a) To determine the area under the normal curve to...
Question: 12.5.5
Horseback Rides Assume that the length of time for a horseback ride on the trail at Triple R Ranch is normally distributed with a mean of 3.2 hours and a standard deviation of 0.4 hour. a) What percent of horseback rides last at least 3.2 hours? b) What percent of horseback rides last less than 2.8 ...
Verified Answer:
a) In a normal distribution, half the data are alw...
Question: 12.5.4
IQ Scores Intelligence quotients (IQ scores) are normally distributed with a mean of 100 and a standard deviation of 15. Determine the percent of individuals with IQ scores a) below 115. b) below 130. c) below 70. d) between 70 and 115. e) between 115 and 130. f ) above 122.5. ...
Verified Answer:
a) We want to determine the area under the normal ...
Question: 5.3.3
From Improper Fraction to Mixed Number Convert the following improper fractions to mixed numbers. a) 8/5 b) 255/8 ...
Verified Answer:
a) Divide the numerator, 8, by the denominator, 5....
Question: 4.4.9
Dividing in Base 5 Divide 25)1435. ...
Verified Answer:
Using the multiplication table for base 5, Table 4...
Question: 12.6.2
Amount of Drug Remaining in the Bloodstream To test the length of time that an infection-fighting drug stays in a person’s bloodstream, a doctor gives 300 milligrams of the drug to 10 patients, labeled 1–10 in the table below. Once each hour, for 10 hours, one of the 10 patients is selected at ...
Verified Answer:
Let time be represented by x and the amount of dru...
Question: 4.4.1
Adding in Base 2 Add 11012 + 1112/ ...
Verified Answer:
Begin by adding the digits in the right-hand, or u...
Question: 4.4.10
Dividing in Base 6 Divide 56)34106 ...
Verified Answer:
The multiples of 5 in base 6 are
5_6 × 1_6[...
Question: 6.10.3
Graphing a Linear Function Graph f(x) = -2x + 3 by using the slope and y-intercept. ...
Verified Answer:
Since f(x) means the same as y, we can rewrite thi...
Question: 8.2.1
Angles of an Octagon A stop sign has the shape of a regular octagon. A regular octagon is an eight-sided figure with all sides having the same length and all interior angles having the same measure. See Fig. 8.19. Determine a) the measure of an interior angle. b) the measure of exterior ∡1. ...
Verified Answer:
a) Using the formula (n - 2)180°, we can determine...
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