Consider the rational number 0. 9 ¯ . a. Use the method from Example 8 on page 230 to convert 0. 9 ¯ to a quotient of integers. b. Find a number halfway between 0. 9 ¯ and 1 by adding the two numbers and dividing by 2. c. Find 1 3 + 2 3 by adding the fractions. Now express 1 3 and 2 3 as repeating decimals and find the sum using the decimal representation of 2 3 and 2 3 . d. What conclusion can you draw from parts (a), (b), and (c)?
Consider the rational number 0. 9 ¯ . a. Use the method from Example 8 on page 230 to convert 0. 9 ¯ to a quotient of integers. b. Find a number halfway between 0. 9 ¯ and 1 by adding the two numbers and dividing by 2. c. Find 1 3 + 2 3 by adding the fractions. Now express 1 3 and 2 3 as repeating decimals and find the sum using the decimal representation of 2 3 and 2 3 . d. What conclusion can you draw from parts (a), (b), and (c)?
Solution Summary: The author explains how the number 0.stackrel 9 is converted to a quotient of integers.
a. Use the method from Example 8 on page 230 to convert
0.
9
¯
to a quotient of integers.
b. Find a number halfway between
0.
9
¯
and 1 by adding the two numbers and dividing by 2.
c. Find
1
3
+
2
3
by adding the fractions. Now express
1
3
and
2
3
as repeating decimals and find the sum using the decimal representation of
2
3
and
2
3
.
d. What conclusion can you draw from parts (a), (b), and (c)?
2011 listing by carmax
of the ages and prices of various corollas in a ceratin region
س 11/ أ . اذا كانت 1 + x) = 2 x 3 + 2 x 2 + x) هي متعددة حدود محسوبة باستخدام طريقة
الفروقات المنتهية (finite differences) من جدول البيانات التالي للدالة (f(x . احسب قيمة . ( 2 درجة )
xi k=0 k=1 k=2 k=3
0
3
1
2
2
2
3
α
1. Differentiate between discrete and continuous random variables,
providing examples for each type.
2. Consider a discrete random variable representing the number of
patients visiting a clinic each day. The probabilities for the
number of visits are as follows:
0 visits: P(0) = 0.2
1 visit: P(1) = 0.3
2 visits: P(2) = 0.5
Using this information, calculate the expected value (mean) of
the number of patient visits per day. Show all your workings
clearly.
Rubric to follow
Definition of Random variables ( clearly and accurately differentiate between discrete and continuous random variables with appropriate examples for each)
Identification of discrete random variable (correctly identifies "number of patient visits" as a discrete random variable and explains reasoning clearly.)
Calculation of probabilities (uses the probabilities correctly in the calculation, showing all steps clearly and logically)
Expected value calculation (calculate the expected value (mean)…
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