Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be
units.
So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)
The distance between two points 
and 
on a coordinate plane is given by
The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:
x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:
Answer:
b = 13
Step-by-step explanation:
the value of the discount is a constant, while the total cost of the books is a variable because it depends of the purchase
We can write this equation
5b - 7 = 58
Solve it
1) add 7 at both members
5b -7 + 7 = 58 + 7
5b = 65
2) divide both membera by 5
b = 13
