Write an algebraic expression for the phrase.
the product of p and 9
p – 9
9p
p + 9
p/9
9p
Write an algebraic expression for the phrase.
the product of p and 9
p – 9
9p
p + 9
The algebraic expression for the phrase "the product of p and 9" would be 9p.
Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency should you choose?
91; the mode
89; the mode
89; the mean
87; the median
To find the most favorable measure of central tendency, we will calculate the mean, median, and mode for the test scores.
Mean = (89 + 81 + 85 + 82 + 89 + 89) / 6 = 515 / 6 ≈ 85.83
Median is the middle value when the scores are arranged in ascending order. In this case, when arranged in ascending order, the scores are 81, 82, 85, 89, 89, and 89. The middle value is 85.
Mode is the value that appears most frequently. In this case, 89 appears three times, making it the mode.
The calculated values are as follows:
Mean ≈ 85.83
Median = 85
Mode = 89
To choose the most favorable measure of central tendency, it is important to consider the context of the situation. Since the question states that the math teacher allows you to choose the most favorable measure, you can choose the one that yields the best outcome for your grade.
Given that 89 appears three times in the data set, using the mode of 89 would yield the highest possible grade. Hence, your grade to the nearest whole number would be 89. Therefore, the most favorable measure of central tendency to determine your grade for the term would be the mode.
The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
number of cars; money raised; $600 to $2000; 30 to 100 cars
number of cars; money raised; 30 to 100 cars; $600 to $2000
money raised; number of cars; $600 to $2000; 30 to 100 cars
money raised; number of cars; 30 to 100 cars; $600 to $2000
In this situation:
Independent quantity: number of cars
Dependent quantity: money raised
Reasonable domain values: 30 to 100 cars
Reasonable range values: $600 to $2000
The correct answer is: number of cars; money raised; 30 to 100 cars; $600 to $2000
Write an algebraic expression for the phrase.
4 times the sum of q and p
4q + p
4 + q + p
4( q + p )
4qp
The algebraic expression for the phrase "4 times the sum of q and p" is 4(q + p).
Which set of numbers is the most reasonable to describe the number of desks in a classroom?
irrational numbers
whole numbers
rational numbers
integers
The most reasonable set of numbers to describe the number of desks in a classroom is whole numbers. Whole numbers consist of the set of counting numbers (1, 2, 3, …) and zero (0). In the context of a classroom, the number of desks is typically a positive whole number since it represents a countable quantity.
Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
fifth test = 85; sixth test = 89
fifth test = 85; sixth test = 81
fifth test = 89; sixth test = 85
fifth test = 90; sixth test = 86
To find the scores Angela received on her fifth and sixth tests, we can use the information given.
Average for six math tests = 87
Sum of scores on six math tests = Average * Number of tests
Therefore, the sum of Angela's scores on six math tests = 87 * 6 = 522.
Sum of scores on her first four tests = 93 + 87 + 82 + 86 = 348.
Score on the fifth test = 522 - 348 = 174.
Score on the sixth test = Score on the fifth test - 4 = 174 - 4 = 170.
Therefore, Angela received a score of 174 on her fifth test and a score of 170 on her sixth test.
So, the correct answer is: fifth test = 174; sixth test = 170.
That’s not an answer
Apologies for the confusion. Let's re-evaluate the question.
The average of Angela's six math tests is 87. The sum of her scores on the first four tests is 93 + 87 + 82 + 86 = 348.
Let's represent the scores of Angela's fifth and sixth tests as variables. We'll call the score of the fifth test "x" and the score of the sixth test "y".
To find the scores for the fifth and sixth tests, we need to calculate their values.
We know that the average for all six tests is 87. This can be expressed as:
(348 + x + y) / 6 = 87
Simplifying this equation, we have:
348 + x + y = 87 * 6
x + y = 522 - 348
x + y = 174
Additionally, we're given that the score on the sixth test is 4 points lower than the fifth test. This can be expressed as:
y = x - 4
Now, we can solve the system of equations using substitution or elimination.
Substituting the value of y from the second equation into the first equation:
x + (x - 4) = 174
2x - 4 = 174
2x = 178
x = 89
Substituting the value of x back into the second equation:
y = 89 - 4
y = 85
Therefore, Angela received a score of 89 on her fifth test and a score of 85 on her sixth test.
So, the correct answer is: fifth test = 89; sixth test = 85.
Find the range.
3 –9 7 –1 5 –4 2
–1
8
2
16
To find the range of a set of numbers, we subtract the smallest number from the largest number in the set.
In this case, the smallest number is -9 and the largest number is 7.
Therefore, the range of the set is 7 - (-9) = 7 + 9 = 16.
So, the range of the set {3, -9, 7, -1, 5, -4, 2} is 16.