Commutative means 'you can swap them'. I.e., a+b = b+a, addition is commutative. Subtraction is not.
The first answer: <span>2(6a − 3) = (6a − 3) ⋅ 2 is an example where 2 and (6a-3) are the factors that can be swapped, because multiplication is commutative.</span>
Answer:
the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
Step-by-step explanation:
Given
Point (10, 25)
Slope m = 2.5
To determine
Write the equation for the function m(t) point-stope form.
We know that the point-slope form of the line equation is

where
- m is the slope of the line
In our case:
so
substituting the values m = 2.5 and the point (10, 25) in the equation


Therefore, the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
Answer:
They are, because similarity means that the ratio of the sides are equal and they are proportionate.
Step-by-step explanation:
If you look at the graph, you can count 2 units from the smaller diamond/rhombus to the other diamond/rhombus. If you count the amount of units on each side, you will find that they are not equal, however they should be proportional if you calculate the angles of 90°.
Answer:
The standard error of the sample proportion is closest to 1%
Step-by-step explanation:
Standard error of the sample proportion is given as
σₓ = √[p(1-p)/n]
where
p = sample proportion = estimated to be 23% = 0.23
n = Sample size = 2500
σₓ = √[p(1-p)/n]
σₓ = √[0.23×0.77/2500]
σₓ = 0.0084166502 = 0.00842
σₓ = 0.00842 = 0.842%
Hence, it is easy to see that the standard error of the sample proportion is closest to 1%.
Hope this Helps!!!