Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
For this case we propose a system of equations.
We know that a dime equals 10 cents and a nickel equals 5 cents.
So:
x: Let the variable that represents the number of dimes
y: Let the variable that represents the number of nickels
According to the statement we have:
We multiply the first equation by -0.10:
We have the following equivalent system:
We add the equations:
So, Jeff has 3 nickels
Jeff has 12 dimes.
Answer:
12 dimes and 3 nickels
Answer
-sqrt(18)<x<sqrt(18)
Step-by-step explanation:
- Factorise:(x-sqrt(18))(x+sqrt(18))<0
- Critical values:-sqrt18 and sqrt18
- Use number line or graphical method
Answer:
A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.
Step-by-step explanation:
The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.
The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).
A coefficient of variation is always interpreted as a percentage. <u>Mathematical representation is:</u>
The coefficient of variation is best used when comparing two data sets that use the same units of measure.
Hence, the option (A) is the correct option.
Answer:
Depending on how the input of each function defined,
- The first choice ,
- The third choice
- The fourth choice
might be functions.
Step-by-step explanation:
A function between two sets (domain and range) should
- be defined for all elements in the domain, and
- map each element from the domain to exactly one element in the range.
The second choice can't be a function since the element from the domain is mapped to more than one element in the range.
Keep in mind that a function should be defined for all elements in its domain. For the first relation to be a function, its domain needs to be . Similarly, the domain for the third and fourth relations should be and