$25 ... 1 month (installments for a TV screen)
$900 ... x months
If you would like to know how many months will she take to pay a total of $900, you can calculate this using the following steps:
25 * x = 900 * 1 /25
x = 900 / 25
x = 36 months /12
x = 3 years
Result: 3 years equals to 36 months.
Answer:
6.86
Step-by-step explanation:
The coordinates represents a possible collision point of the objects according to equations r = 4cos(θ) and r = –1/ 2cos(θ) cos(∅) are (-2,2π/3).
Given Equations r = 4cos(θ) and r = –1 2cos(θ).
We have to find the coordinates of collision.
The first object is moving around the screen r = 4cos(θ).
The second object is moving around the screen r = –1 /2cos(θ).
According to question
Coordinate can be found out by equating both the equations.
4cos(θ) =–1 /2cos(θ)
2cos(θ)=-1
cos(θ)=-1/2
θ=
=120°
θ=-2π/3
Therefore the two equations are equal when
θ=2π/3
we have
r=4 cos(2π/3)=-2
and r=-1+2 cos(2π/3)
r=-2
Hence the coordinates that represent the collision point are (-2,2π/3).
Learn more about motion of equation at brainly.com/question/25951773
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Answer:
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8.84 - 0.35 = 8.49 miles.
The upper end of the interval is the sample mean added to M. So it is 8.84 + 0.35 = 9.19 miles.
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.