Answer:
A) 32 kg/m
B) 48 kg/m
C) 72 kg/m
Step-by-step explanation:
We are given mass is; m = 4x²
Linear density is the derivative of mass with respect to the position x. So linear density is;
ρ = dm/dx
Differentiating 4x²,we have; ρ = 8x
A)at x = 4; ρ = 8(4) = 32 kg/m
B) at x = 6; ρ = 8(6) = 48 kg/m
C) at x = 9; ρ = 8(9) = 72 kg/m
Answer:
84n-27
Step-by-step explanation:
-9(1-10n)-2(3n+9)
-9+90n-6n-18
-27+84n
Answer:
D. We are 95% confident that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
Step-by-step explanation:
The 95% confidence interval refers that 95% of data is correct with respect of the population
Given that 95% confidence interval is (0.58, 0.64)
So based on this, the option D is correct as it shows the right thing with regard to 95% confidence interval
Therefore all the other options are incorrect as the first option is of probability, the second option is the sample, and the third option is of statement form i.e not standardized.
Answer and work is shown in picture :)
i hope you have a lovely rest of your day!
Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).
In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.
y = kx
12 = k(16)
3/4 = k
Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.