Answer:
4.
5.
arranging the values in ascending order
2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9
median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]
for n is even
= 1/ 2 [ 6th + 7th term]
= 1/ 2 [5 + 6]
= 5.5
mode = value with highest frequency or the value that appears most frequently In a given set of data.
mode =4, 6
because both 4and 6 appear 3 times in the given set of data which is the highest frequency.
Answer:
Step-by-step explanation:
The given exponential form is:
The base of the given expression on the right is 13 and the exponent is 2.
The number is 169.
In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.
Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.
The equation represents the total liters of acid that are needed is,
Thus the option 3 is the correct option.
<h3>What is allegation?</h3>Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.
Given information-
A scientist needs 10 L of a solution that is 60% acid.
The percentage of two acid solution are 50% and 90%.
Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.
Variable<em> y </em>represent the number of liters of the 90% solution.
Quantity of acid from 50% solution is liters, and quantity of acid from 90% solution is
liters.
As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,
Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,
This is the required equation.
Hence the equation represents the total liters of acid that are needed is,
Thus the option 3 is the correct option.
Learn more about the mixture and allegation here;