As the dollar rate increases in a day, the amount of investment, stock prices, and forex exchange deposit available also decreases. Which of the following is the independent variable?
Amount of investment
Dollar rate
Stock prices
Forex exchange deposit
Correct Answer : B
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.
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Correct Answer is A
Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
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 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:
Thus, 6.5 L is 6500 mL.
Correct Answer is C
Explanation
C organizes the collection correctly.
Correct Answer is B
Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
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 D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.98 becomes 698/100
9.2 becomes 92/10
The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:
3/7*700=300
698/100*700=4886
10/7*700=1000
92/10*700=6440
In order from the smallest to largest, we organize the number set as follows:
3/7, 10/7, 6.98, 9.2.
Thus, 9.2 is the greatest of all.
Correct Answer is A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
Correct Answer is C
Explanation
The mean of a data set is the sum of all scores divided by the number of tests.
Total test scores = 83+86+76+88+97 = 430
Number of tests = 5
Mean test score = 430/5 = 86
The mean test score is 86.
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.
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