Maths-
SAT
Easy
Question
A group of 10 students played a certain game. Every player received a score equal to an integer from 1 to 10, inclusive. For the 10 players, the mean score was 4. If more than half of the players received a score greater than 5, which of the following is true about the mean score of the remaining players?
- It must be less than 4.
- It must be equal to 4.
- It must be between 4 and 5.
- It must be greater than 5.
The correct answer is: It must be less than 4.
The average of 10 students is 4
More than half players score more than 5
The other players scored less than the mean value i.e. the other students must have scored less than 4.
Related Questions to study
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The graph above shows the price that a chemical company charges for an order of fragrance oil, depending on the weight of the order. Based on the graph, which of the following statements must be true?
The graph above shows the price that a chemical company charges for an order of fragrance oil, depending on the weight of the order. Based on the graph, which of the following statements must be true?
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The scatterplot above shows the relationship between the amount of dietary cholesterol, in milligrams (mg), and the amount of total fat, in grams (g), in the 12 sandwiches offered by a certain restaurant. The line of best fit predicts the amount of total fat a sandwich has based on the amount of dietary cholesterol in the sandwich. How many grams of total fat are in the sandwich for which this
prediction is the most accurate?
The scatterplot above shows the relationship between the amount of dietary cholesterol, in milligrams (mg), and the amount of total fat, in grams (g), in the 12 sandwiches offered by a certain restaurant. The line of best fit predicts the amount of total fat a sandwich has based on the amount of dietary cholesterol in the sandwich. How many grams of total fat are in the sandwich for which this
prediction is the most accurate?
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The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at the end of 1928, the year in which it was built. Starting in 1929, sediment carried downstream by the Susquehanna River collected in the reservoir and began reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet per year.
If the reservoir's capacity t years after 1928 was between 290,000 and 292,000 acre- feet, which of the following must be true?
The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at the end of 1928, the year in which it was built. Starting in 1929, sediment carried downstream by the Susquehanna River collected in the reservoir and began reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet per year.
If the reservoir's capacity t years after 1928 was between 290,000 and 292,000 acre- feet, which of the following must be true?
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(3x+2)(2x+3)
Which of the following is equivalent to the expression above?
(3x+2)(2x+3)
Which of the following is equivalent to the expression above?
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In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
maths-sat
maths-
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
Which of the following could be the median score in Study III?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
Which of the following could be the median score in Study III?
maths-sat
maths-
The number of people who rode a certain bus each day of a week is shown in the table below.
|
Day |
Number of riders |
| Monday |
612 |
| Tuesday |
798 |
| Wednesday |
655 |
| Thursday |
773 |
| Friday |
808 |
| Saturday |
480 |
| Sunday |
229 |
The number of people who rode a certain bus each day of a week is shown in the table below.
|
Day |
Number of riders |
| Monday |
612 |
| Tuesday |
798 |
| Wednesday |
655 |
| Thursday |
773 |
| Friday |
808 |
| Saturday |
480 |
| Sunday |
229 |
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maths-
What is the graph of y=4−2(0.5) x ?
What is the graph of y=4−2(0.5) x ?
maths-sat
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|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by
. If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by
. If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?maths-sat
maths-
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
maths-sat
maths-
Line m is shown in the xy-plane. Line p (not shown) is perpendicular to line m. Which of the following could be the equation of line p?
Line m is shown in the xy-plane. Line p (not shown) is perpendicular to line m. Which of the following could be the equation of line p?
maths-sat
maths-
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
What percent of all the scores reported in the three studies were in the 50-59 range?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
What percent of all the scores reported in the three studies were in the 50-59 range?
maths-sat
maths-
The graph of the function f, defined by 
, is shown in the xy- plane above. If the function g (not shown) is defined by g(x) = −x + 10, what is one possible value of a such that f (a) = g(a) ?
The graph of the function f, defined by , is shown in the xy- plane above. If the function g (not shown) is defined by g(x) = −x + 10, what is one possible value of a such that f (a) = g(a) ?
maths-sat
maths-
Of 100 people who played a certain video game, 85 scored more than 0 but less than 10,000 points, 14 scored between 10,000 and 100,000 points, and the remaining player scored 5,350,000 points. Which of the following statements about the mean and median of the 100 scores is true?
Of 100 people who played a certain video game, 85 scored more than 0 but less than 10,000 points, 14 scored between 10,000 and 100,000 points, and the remaining player scored 5,350,000 points. Which of the following statements about the mean and median of the 100 scores is true?
maths-sat
maths-
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
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