TIME ON A DIET A survey on how long dieters stay on a diet found that 26 % of them stayed on the diet for a month or less, 36 % of them stayed on for more than a month but less than 6 months, 11 % of them stayed on for 6 or more months but less than a year, and 27 % of them stayed on for a year or more. For the survey, respondents could define "diet" any way they wanted. On the basis of this survey, what is the probability that a person selected at random from the survey said that he or she stayed on a diet for: a. A month or less? b. More than one month but less than a year? c. Six months or more? Source: NPD Group
TIME ON A DIET A survey on how long dieters stay on a diet found that 26 % of them stayed on the diet for a month or less, 36 % of them stayed on for more than a month but less than 6 months, 11 % of them stayed on for 6 or more months but less than a year, and 27 % of them stayed on for a year or more. For the survey, respondents could define "diet" any way they wanted. On the basis of this survey, what is the probability that a person selected at random from the survey said that he or she stayed on a diet for: a. A month or less? b. More than one month but less than a year? c. Six months or more? Source: NPD Group
Solution Summary: The author explains that the probability of a person selected at random staying on diet is 0.26.
TIME ON A DIET A survey on how long dieters stay on a diet found that
26
%
of them stayed on the diet for a month or less,
36
%
of them stayed on for more than a month but less than 6 months,
11
%
of them stayed on for 6 or more months but less than a year, and
27
%
of them stayed on for a year or more. For the survey, respondents could define "diet" any way they wanted. On the basis of this survey, what is the probability that a person selected at random from the survey said that he or she stayed on a diet for:
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?
Step 1
Using the diagram of a right triangle given below, the relation between x, y, and z is
z²
= x²+
+12
x
Step 2
We must find dz/dt. Differentiating both sides and simplifying gives us the following.
2z
dz
dt
dx
2x.
+2y
dt
dx
dy
dz
x
+y
dt
dt
dt
2z
dy
dt
×
dx
(x+y
dt
dy
dt
At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?
4.1 Basic Rules of Differentiation.
1. Find the derivative of each function. Write answers with positive exponents. Label your derivatives with
appropriate derivative notation.
a) y=8x-5x3 4
X
b)
y=-50 √x+11x
-5
c) p(x)=-10x²+6x3³
Chapter 7 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
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