A teacher has asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency of each day of the week?
Histogram
Scatterplot
Pie graph
Bar graph
Correct Answer : D
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week. Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous/range data. While a bar graph does just fine even with discrete data.
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Related Questions
Correct Answer is C
Explanation
To solve this equation, we use a calculator and find the product as:
2.50*0.25=0.625
Correct Answer is A
Explanation
The initial step is to convert the decimal numbers into fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
9/2*300=1350
44/10*300=1320
10/3*300=1000
425/100*300=1275
From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.
Correct Answer is A
Explanation
The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula
Now, substituting the 49 π in2 in place of A in the equation above becomes:
We want to find r, therefore, we rearrange the equation as
Divide both sides by
Take square root both sides of the equation
The radius of the circle is 7 in, and the circumference of the circle is determined as follows
Substituting the value of r=7 becomes
Thus, the circumference of a circle whose area is 49 Â in2 is 14
Â
Correct Answer is B
Explanation
We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:
However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as
Substituting r=8 in the equation of the area of a circle
Thus, the area of the pizza is 64 Â in2.
NOTE:Â Â (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.
Correct Answer is D
Explanation
In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 4
Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation
Thus, the value of x is 7.
Correct Answer is B
Explanation
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
Correct Answer is B
Explanation
in the given problem, we use the calculator to find 1.3*0.47=0.611
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 D
Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
Mark off value=mark off rate*original price
Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,
Thus, the approximate selling price of the sweater is $65.
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
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