Answer:
Second option: B and C
Step-by-step explanation:
A is the product of 4x and -2x: A=(4x)(-2x)→A=-8x^2 (x^2)
B is the product of 4x and 3: B=(4x)(3)→B=12x (x^1)
C is the product of 1 and -2x: C=(1)(-2x)→C=-2x (x^1)
D is the product of 1 and 3: D=(1)(3)→D=3 (constant)
Then, the like terms are B and C
Answer:
63 fish
Step-by-step explanation:
To find how many fish are caught in an hour, you will need to divide 6 by 2 to get 3 fish every hour. Finally, you need to multiply 3 by 21 to get the total fish caught, which is 63.
Answer: There is no change in the number of state representatives for fourth state after the last census.
Step-by-step explanation:
Here, the Data set {+4,-1,-2,0} shows a change in number of state representatives for four states after the last census.
In the first state the changes is +4, that is, there is an increase of the number of representative in first state by factor four.
In the second state the changes is -1, that is, there is an decrease of the number of representative in second state by factor one.
In the third state the changes is -2, that is, there is an decrease of the number of representative in second state by factor two.
In the fourth state changes is 0, therefore, there is no change in the number of representative in fourth state.
Answer:
Option B) 16
Step-by-step explanation:
We are given the following in the question:
where x is the student's original test score and y is the student's adjusted test score.
We have to find the standard deviation of the adjusted test scores of the students in the class, if the standard deviation of the original test scores of the students in the class was 20.
We know that:
- Adding a constant to each value in a data set does not change the value of the standard deviation.
- Multiplying each value in a data set by a constant also multiplies the standard deviation by that constant.
Thus, if we add 20 to each data set then, the standard deviation does not change.
But multiplying each score by 0.8, changes the standard deviation 0.8 times.
Thus, we can write:
Thus, standard deviation of adjusted score is 16.
Answer:
24
Step-by-step explanation:
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