A farmer is planning for a growing season and want to know the trend in amount of rainfall in his area. He obtains rainfall falling in the first 5 months of the year as shown in the above table. Which of the following would best display the data?
Month |
January |
February |
March |
April |
May |
Rainfall (mm) |
20 |
6 |
14 |
28 |
34 |
Scatter plot
Pie chart
Line graph
Bar graph
Correct Answer : D
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
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Correct Answer is D
Explanation
To solve the equation this equation, we compute the multiplication of the two numbers using the calculator
3.60 * 0.75 = 2.7
Correct Answer is A
Explanation
We analyze the given statement with the graph given as follows:
For option a: the points per game decreased five times between 1996 and 2015. So, the statement is true.
For option b: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For option c: 2008-09 was the season the chargers scored the greatest number of points per game and not 2002-03 as claimed in the statement. So, this statement is not true.
Correct Answer is C
Explanation
A whole pizza represents 1, and two friends eat ¼ of the pizza. The remaining fraction of pizza is:
Remaining amount =Â
Thus, 3/4 of pizza is left for three friends to share equally.
Now, the other three friends will each get
Â
So, the other three friends will each get 1/4 of the pizza.
Correct Answer is D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below
Correct Answer is C
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 10oz of ammonia. Expressing this mathematically yields two options:
\(\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\)or\(\frac{1\ gallon\ of\ solution}{10\ oz\ of\ ammonia}\)
Now we find how much ammonia is needed using option two.
\(51\ gallon\ of\ solution\ *\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\ =\ 510\ oz\ of\ ammonia\)
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 510 oz of ammonia.
Correct Answer is C
Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
Now we evaluate the above equation noting that of means multiply.
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
Correct Answer is B
Explanation
To change between L and mL, the following two options are used.
Correct Answer is B
Explanation
To solve this problem, we need to have all options in fraction form.
74Â Â 95 =Â
7/8 = 3/8
0.72 = 72/100
74% = 74/100
Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:
74/95*3800=2960
7/8*3800=3325
72/100*3800=2736
74/100*3800=2812
We can see that the fraction 7/8 is the greatest among the given options.
Correct Answer is A
Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(85.00+40.00+81.00)
Total tax=$206.00
The next step is to find the weekly income after deducting total taxes
Weekly net income=gross income-total tax
Weekly net income=$(980.00-206.00)=$774.00
In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning
Correct Answer is C
Explanation
to find the average time the athlete runs in 1 mile; we find total distance and total time the athlete takes in running.
Total distance run by athlete=7+3=10 miles
Total time=45+15 =60 minutes
The athlete runs 10 miles in 60 minutes. For the athlete to cover 1 mile, he will run for a time less than 60 minutes. Thus, in 1 mile, the athlete takes:
So, in 6 minutes, the athlete covers 1 mile.
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