If a something with the value of $179,000 dollars decreased in value annually by 3% you would show this by setting a graph or depiction of the drop. You could do this with a line graph to show the slow decrease in value or a bar graph to show how the value is getting smaller
This is not correct. You might think you are "on a roll" but the probability of heads on any toss is just as likely as the probability of tails because each coin toss is an independent event, meaning, two events related in such a way that knowing about the occurrence of one event has no effect on the probability of the the other event. This would hold true if you have tossed these 15 heads and you believe that tails "are due". It is an independent event.
Answer:
The area of the four curved surfaces is the area of one circle with a radius of 4 cm
Area = PI * radius^2
Area = PI * 4 ^ 2
Area = PI * 16 = 50.26548245744 sq cm
Area of entire square = 8 * 8 = 64 sq cm
Area of yellow region = 64 - 50.265 sq cm =
= 13.735 = 13.7 sq cm (rounded to nearest tenth)
Step-by-step explanation:
You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).
In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.
The result is
So, the second equation turned to be an equality, i.e. an equation where both sides are the same.
This implies that the system has infinitely many solutions, because every couple such that is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83