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 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 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
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then
Substituting 169π in place of area
Â
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
Correct Answer is C
Explanation
We follow the order of operations to solve the given expression. The order of operations is PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)
First, we start with the numerator and solve it as follows
[3(6+5*4)]
We start with multiplication in parenthesis, 5*4=20. The expression becomes
[3(6+20)]
Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
The expression reduces into 6.
Correct Answer is A
Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,Â
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
Correct Answer is B
Explanation
We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.
First, express Japheth’s uncle’s age in terms of Japheth’s age as follows
Japheth’s age=k
Japheth’s uncle’s age, u = 3k-10.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.
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 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 polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.
Step 1: Set up the proportion
The ratio of answered calls to attempted calls is:
=
Where x is the number of expected answered calls for 150 attempted calls.
Step 2: Solve for x
Cross-multiply to solve for x:
2×150=15×x
300=15x
X =
x = 20
Conclusion:
The expected number of answered calls for 150 attempted calls is 20 calls.
The correct answer is C. 20 calls.
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.
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