A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)
38%
22%
19%
29%
Correct Answer : B
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)
Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
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Correct Answer is B
Explanation
A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.
A scatter plot used to show the correlation between two variables.
A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.
From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
Correct Answer is B
Explanation
To find the circumference of a circular garden, we can use the formula:
C=π×d
Where:
- C = Circumference
- π = 3.14 (as given)
- d = Diameter
Step 1: Substitute the given values into the formula
The diameter d is 14 metres, so:
C=3.14×14
Step 2: Perform the multiplication
C=43.96 metres
Final Answer:
The circumference of the garden is 43.96 metres.
The correct answer is B. 43.96 metres.
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
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.
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
Dividing both sides by 60, the above equation result to
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
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Correct Answer is C
Explanation
To convert millilitres (mL) to litres (L), we use the fact that:
1 L=1000 mL
So, to convert 2,500 mL to litres:
=2.5 L
Thus, the patient needs 2.5 litres of saline.
The correct answer is C. 2.5 L.
Correct Answer is B
Explanation
To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.
Step 1: Order the data from least to greatest:
The original data set is:
12,19,7,14,22,26,15
Ordered from least to greatest:
7,12,14,15,19,22,26
Step 2: Find the middle value
Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.
7,12,14,15,19,22,26
The middle value is 15.
Conclusion:
The median of the data set is 15.
The correct answer is B. 15.
Correct Answer is B
Explanation
Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
Correct Answer is C
Explanation
C organizes the collection correctly.
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