An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
7 minutes
8 minutes
7.5 minutes
8.5 minutes
Correct Answer : C
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.
So, the athlete covers 1 mile in 7.5 minutes.
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Related Questions
Correct Answer is C
Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is
Thus, 5/8 is equal to 62.5%.
Correct Answer is D
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is A
Explanation
To find the least common denominator (LCD) of the fractions 1/2, 2/3, and 4/5, follow these steps:
Step 1: Identify the denominators
The denominators are 2, 3, and 5.
Step 2: Find the least common multiple (LCM)
The LCM of 2, 3, and 5 is the smallest number that all three denominators divide into evenly.
- Prime factorization:
- 2=2
- 3=3
- 5=5
Since 2, 3, and 5 are all prime numbers, their LCM is:
2×3×5=30
Correct Answer is B
Explanation
Since the distribution is symmetric, the mean, mode, and median will all be equal. The shape of the distribution will be bell-shaped.
Correct Answer is D
Explanation
we use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:
1 gallon of solution6 oz of ammonia
Or
6 oz of ammonia1 gallon of solution
Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 720 oz of ammonia.
Correct Answer is C
Explanation
To find the true statement we need to analyze the given statements.
For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.
Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.
Correct Answer is C
Explanation
the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.
The data set above arranged from the smallest to largest is:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.
The element 14 falls in the 6th position, which is our median of the given data set.
Correct Answer is D
Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
Correct Answer is C
Explanation
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.
In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.
The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.
If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
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