Answer:
B (there is a negative correlation)
Step-by-step explanation:
the data set if you were put on a linear set, you be a negative and most of the points would fit through or around the slope. so it is a neagtive correlation
it is 24 vjsnvfvfjobbjgbnjg ngnbb
Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.
Step-by-step explanation:
We will prove by contradiction. Assume that is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that . Then, for some integer ,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for and an odd positive number ,
Applying this formula in 1) we obtain that
.
Then, as we have that is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
48 cookies from 2 cups of flour, rate = 48 cookies / 2 cups = 24 cookies / cup
60 cookies from 3 cups of flour, rate = 60 cookies / 3 cups = 20 cookies / cup
If the rates were proportional, the rates would have the same answers.
Therefore the rates are not proportional.