Question
Show the conjecture is false by finding a counterexample. All prime numbers are odd.
Hint:
Use the property of prime numbers.
The correct answer is: Hence we disproved the conjecture
Complete step by step solution:
Prime numbers are the numbers that have only 2 factors, the number itself and 1.
‘ 2 ’ is a number that has its factors only as 2 and 1. So 2 is a prime number which is
not odd.
Hence we disproved the conjecture.
Related Questions to study
The table shows the number of painters and sculptors enrolled in seven art schools. Jashar makes an incorrect scatter plot to represent the data.
a) What error did jashar likely make?
b) Explain the relationship between the number of painters and sculptors enrolled in the art schools?
c) Jashar scatter plot shows two possible outliers , Identify them and explain why they are outliers?
The table shows the number of painters and sculptors enrolled in seven art schools. Jashar makes an incorrect scatter plot to represent the data.
a) What error did jashar likely make?
b) Explain the relationship between the number of painters and sculptors enrolled in the art schools?
c) Jashar scatter plot shows two possible outliers , Identify them and explain why they are outliers?
A pitcher ERA ( Earned Run Average ) is the average number of earned runs the pitcher allows every 9 innings pitched. The table shows the ERA and number of wins for starting pitchers in a baseball league?
Construct a scatter plot of the data.
Identify the association between the data . Explain the relationship between ERA and number of wins shown in the scatter plot.
A pitcher ERA ( Earned Run Average ) is the average number of earned runs the pitcher allows every 9 innings pitched. The table shows the ERA and number of wins for starting pitchers in a baseball league?
Construct a scatter plot of the data.
Identify the association between the data . Explain the relationship between ERA and number of wins shown in the scatter plot.
The sum of the first n odd positive integers is ____.
The sum of the first n odd positive integers is ____.
The simple interest on a certain sum for 3 ½ years at 12% per annum is Rs. 98 more than the simple interest on the same sum for 2 ½ years at 14% per annum. Find the sum.
The simple interest on a certain sum for 3 ½ years at 12% per annum is Rs. 98 more than the simple interest on the same sum for 2 ½ years at 14% per annum. Find the sum.
The scatter plot represents the prices and the number of books sold in a bookstore.
a) Identify the cluster in the scatter plot and explain what it means
b) How does the scatter plot show the relationship between the data points? Explain.
The scatter plot represents the prices and the number of books sold in a bookstore.
a) Identify the cluster in the scatter plot and explain what it means
b) How does the scatter plot show the relationship between the data points? Explain.
The table shows the monthly attendance in thousands at museums in one country over a 12- month period.
a) Complete the scatter plot to represent the data.
b) Identify any outlier in the scatter plot
c) What situation might have caused an outlier?
The table shows the monthly attendance in thousands at museums in one country over a 12- month period.
a) Complete the scatter plot to represent the data.
b) Identify any outlier in the scatter plot
c) What situation might have caused an outlier?
Germaine constructs a scatter plot to show how many people visit different theme parks in a month. Why might clusters and outliers be present.
It is not necessary that every scatter plot must have either a cluster or an outlier. There are graphs that have none.
Germaine constructs a scatter plot to show how many people visit different theme parks in a month. Why might clusters and outliers be present.
It is not necessary that every scatter plot must have either a cluster or an outlier. There are graphs that have none.
Choose the noun
Choose the noun
The table shows the racing times in minutes for the first two laps in a race. Complete the scatter plot.
Scattered plots can display relationships between two pairs of continuous data. These graphs show symbols at the paired variables' data points' X and Y coordinates. Scattergrams and scatter charts are other names for scatterplots.
By looking at the dot pattern on a scatterplot, you may detect whether two continuous variables are correlated or related. The scatterplot shows the direction of any relationship and whether it is linear or curved if one exists. 1.) values on the X-axis of a continuous variable. When one of the variables may be categorized as an independent variable, this is typically the independent variable.
2.) Values on the Y-axis of a continuous variable are usually the dependent variable.
3.) Plotting of symbols at your data's (X, Y) coordinates. Represents various groups on the same graph; the graph can use various colored or shaped symbols.
The table shows the racing times in minutes for the first two laps in a race. Complete the scatter plot.
Scattered plots can display relationships between two pairs of continuous data. These graphs show symbols at the paired variables' data points' X and Y coordinates. Scattergrams and scatter charts are other names for scatterplots.
By looking at the dot pattern on a scatterplot, you may detect whether two continuous variables are correlated or related. The scatterplot shows the direction of any relationship and whether it is linear or curved if one exists. 1.) values on the X-axis of a continuous variable. When one of the variables may be categorized as an independent variable, this is typically the independent variable.
2.) Values on the Y-axis of a continuous variable are usually the dependent variable.
3.) Plotting of symbols at your data's (X, Y) coordinates. Represents various groups on the same graph; the graph can use various colored or shaped symbols.
