When the marks of a science test are graphed, the distribution of markss is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?
Uniform
Skewed right
Bell-shaped
Bimodal
Correct Answer : C
In a bell-shaped curve, the data distribution is symmetric around a single peak. The centering of data around a single peak means the mean, mode and median of the test are all equal to each other.
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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 $9.38.
Correct Answer is D
Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
Correct Answer is A
Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(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
In a bell-shaped curve, the data distribution is symmetric around a single peak. The centering of data around a single peak means the mean, mode and median of the test are all equal to each other.
Correct Answer is D
Explanation
In order for the teacher to better visualize the test performance for his class, he needs to present the mark distribution in chart form. A better chart visualizer is the histogram, which will show the frequency of marks against range of test scores. A bar graph will not be used because the rectangles need to touch one another.
In a bar graph, the rectangles do not touch each other. Therefore, it will not be a good chart visualizer.
Correct Answer is A
Explanation
The selling price of the sweater is marked price less the mark off value.
Mark off value=mark off rate*original price
Mark of value=30% of $95
Mark of value=0.30*$95=$28.50
Now, find the selling price of the sweater
Selling price= marked price-mark off value
Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.
Correct Answer is D
Explanation
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
Correct Answer is A
Explanation
We solve for the value of x by following the order of operations
3(x-2)=15
Divide both sides of the equation by 3
Add 2 to both sides of the equation
Thus, the value of x is 8.
Correct Answer is A
Explanation
In the given problem, we use the calculator to evaluate the product 1.9 * 0.75 = 1.425
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.
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