Which of the following is the decimal form of 67.9%?
67.9
6,790
0.679
8.75
Correct Answer : C
percentages are fractions with denominator equal to 100. Then, in decimal form:

The decimal form of 67.9% is 0.679.
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Correct Answer is D
Explanation
the mean of a data set is the sum of the scores divided by the number of tests.
Total test scores =99+93+67+ 48+ 92+ 87=486
Number of tests =6
Mean test score =486/6=81
The mean test score is 81.
Correct Answer is A
Explanation
This problem asks us to compare the number of dimes to nickels.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 4p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =7(2p)=14p
To find the number of dimes the child has than nickels, we use the ratio:
\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)
Thus, there are 7times as many dimes as nickels in the box.
Correct Answer is A
Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Correct Answer is C
Explanation
To find the greatest number from the given set, we first convert the decimal numbers into fractions.
12.35 becomes 1235/100
11.46 becomes 1146/10
Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.
25/2*300=3750
1235/100*300=3705
40/3*300=4000
1146/10*300=3438
From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.
Correct Answer is D
Explanation
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.
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 A
Explanation
Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
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 D
Explanation
To find the probability of an event, we use the following the formula

To find the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=6+3+5=14 balls

The probability of drawing a red ball from the bag is 3/14.
Correct Answer is A
Explanation
We are tasked to find the unknown values of x in the given equation.
First, we add 8 to both sides of the equation.


Next, we apply the absolute rule:
If Â
 , a>0, then u=a or u=-a
From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x



The second condition (u= -a) becomes

Solving for x



Thus, the value of x is 4 or -3
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