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Questions and Answers
What is the decimal equivalent of the fraction 3/4?
What is the value of the fraction 2/5, if the numerator is increased by 3 and the denominator is increased by 5?
A line has the equation y = 2x - 3. What is the y-intercept of the line?
A frequency table shows the number of students who scored a certain number of points on a test. If the table shows that 5 students scored 20 points, 7 students scored 30 points, and 3 students scored 40 points, what is the probability that a student scored 30 points?
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A pie chart shows the favorite sports of students in a school. The sector for football is 60 degrees and the sector for basketball is 80 degrees. What is the probability that a student's favorite sport is football or basketball?
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What is the decimal equivalent of the fraction 11/12?
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A line has the equation y = 3x + 2. What is the gradient of the line?
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A frequency table shows the scores of students on a test. If the table shows that 4 students scored 10 points, 6 students scored 20 points, and 2 students scored 30 points, what is the probability that a student scored more than 10 points?
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A pie chart shows the favorite colors of students in a school. If the sector for blue is 45 degrees and the sector for green is 90 degrees, what is the probability that a student's favorite color is blue or green?
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What is the value of the fraction 5/6, if the numerator is decreased by 2 and the denominator is increased by 3?
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Study Notes
Fractions to Decimals
- A fraction can be converted to a decimal by dividing the numerator by the denominator
- For example, the fraction 3/4 is equal to 3 ÷ 4 = 0.75
- When converting a fraction to a decimal, the decimal may be a terminating or a recurring decimal
Value of a Fraction
- The value of a fraction can be found by dividing the numerator by the denominator
- The value of a fraction can be used to compare the size of different fractions
- For example, the value of the fraction 2/3 is greater than the value of the fraction 1/2
Equation of a Line
- The equation of a line can be written in the form y = mx + c, where m is the gradient and c is the y-intercept
- The gradient of a line can be found by using the formula m = (y2 - y1) / (x2 - x1)
- The y-intercept of a line is the point at which the line crosses the y-axis
Frequency Table
- A frequency table is a table that displays the frequency of different data values
- The frequency of a data value is the number of times it appears in the dataset
- Frequency tables can be used to display and analyze categorical data
Probabilities
- Probability is a measure of the likelihood of an event occurring
- The probability of an event is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event
- The probability of an event can be calculated using the formula P(event) = number of favorable outcomes / total number of outcomes
Pie Charts
- A pie chart is a circular graph that displays the proportion of different data values
- The proportion of each data value is represented by a slice of the pie
- Pie charts can be used to display and compare the proportion of different categories in a dataset
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Description
Assess your understanding of fractions, decimals, and data analysis concepts, including converting fractions to decimals, evaluating the value of a fraction, equation of a line, frequency tables, probabilities, and pie charts.
