A teacher has asked all the students in the class which days of the week they get up after 9 a.m. which of the following is the best way to display the frequency for each day of the week?
Bar graph
Pie graph
Scatter plot
Histogram
Correct Answer : D
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
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Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank
A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Correct Answer is A
Explanation
To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.
-0.9 becomes 9/10
-1.9 becomes 19/10
Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.
-3/5*30=-18
-9/10*30=-27
-19/10*30=-57
-8/3*30=-24
The greatest number is -18, meaning -3/5 is the greatest number.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,
We solve the value of x by cross-products.
Therefore, 144 students will enroll for a dental hygiene program.
Correct Answer is B
Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
A recipe of 3.4 teaspoons is equal to 17.0 mL.
Correct Answer is B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
Correct Answer is B
Explanation
we need to find the price of the stock on Thursday.
First, find the price changes in each day of the week as follows:
Monday’s price was $45.32
Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57
Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84
Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73
Therefore, the stock price on Thursday was $47.73.
Correct Answer is A
Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:
Thus, 0.65 L is 650 mL.
Correct Answer is D
Explanation
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
Correct Answer is D
Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.
Correct Answer is C
Explanation
The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.
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