Which of the following is the decimal equivalent of 9/20?
0.45
3.4
3.57
0.18
Correct Answer : A
9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.
Thus, 9/20 is equal to 0.45.
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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 C
Explanation
percentages are fractions with denominator equal to 100. Then, in decimal form:
The decimal form of 67.9% is 0.679.
Correct Answer is C
Explanation
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
  in.
Correct Answer is B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
Correct Answer is A
Explanation
The number of boxes to fit the room is found as volume of the room divided by the volume of the box.
Number of boxes:
\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)
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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.
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The mean test score is 81.
Correct Answer is D
Explanation
in this case, we express James’ uncle’s age in terms of James’ age. From the equation:
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Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.
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
In this case, we use a calculator to estimate the positive square root of 42.
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Explanation
Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
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