Which of the following is the median of the date set below?
3, -5, 9, -1, 0
9
-5
-1
0
Correct Answer : D
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
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Correct Answer is A
Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
Correct Answer is D
Explanation
In this task, we use the relation from the given scenario to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2p
Number of nickels in the bottle = 3p
Number of dimes in the bottle =6(3p)=18p
Now relating dimes to quarters, we have
Thus, there are 9 times as many dimes as quarters in the box.
Correct Answer is B
Explanation
We use the calculator to find the positive square root of 19, which is then multiplied by 3.
Using the calculator,
Multiplying the square root above with 3 becomes
The approximate value of 3 times the square root of 19 is 13.1.
Correct Answer is C
Explanation
Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.
A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
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Correct Answer is D
Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
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Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
Correct Answer is D
Explanation
Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.
The decimal form of 98.2% is 0.982.
Correct Answer is A
Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
Correct Answer is A
Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
- 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
- 3 Packs of Orange will cost $16+$12=$28
- 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
- 5 packs of cream Soda will cost 5($7)=$35
From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
Correct Answer is D
Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
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