Search & Filtering
Show that the propositions p1,p2,p3,p4, and p5 can be shown to be equivalent by proving that the conditional statements p1→p4, p3→p1, p4→p2, p2→p5, and p5→p3 are true.
Directions: find (f-g)(x) using the two functions given in each number.
1.f(x) =3 x
g(x) =-4x+1
2.f(x) =2x
g(x)= 4x2+2x-2
3.f(x) =5x+1
g(x) =3x
4.f(x) =5x+2
g(x)=3x-5
5.f(x) =3x
g(x) =4x²+5x-4
Show that the sequence En=(1+1/n)^n is bounded and increasing
Of the 20 people attending a lecture, 2 have brown eyes. What is the probability that a randomly selected person will have brown eyes?
The following data show the number of cars sold at a dealer during the past 20 weeks:
18; 13; 2; 20; 8; 10; 5; 10; 6; 9; 10; 20; 2; 15; 16; 16; 13; 10; 17; 10
Use the data to construct a histogram that shows the number of weeks versus car sales. Use the intervals
0,5 − 4,5; 4,5 − 8,5; 8,5 − 12,5; 12,5 − 16,5; 16,5 − 20,5
for the number of cars sold. The correct histogram
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
The following data show the number of cars sold at a dealer during the past 20 weeks:
18; 13; 2; 20; 8; 10; 5; 10; 6; 9; 10; 20; 2; 15; 16; 16; 13; 10; 17; 10
Use the data to construct a histogram that shows the number of weeks versus car sales. Use the intervals
0,5 − 4,5; 4,5 − 8,5; 8,5 − 12,5; 12,5 − 16,5; 16,5 − 20,5
for the number of cars sold. The correct histogram
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
1-5=
