Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c
Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420
Therefore, the equation that describes the relation is:
2.5xy = 420
Answer:
x is 2.88 which can be rounded up to 2.9
Step-by-step explanation:
Subtract 2/3x from 5x.
Add 1/2 to 12.
Simplify and put into calculator (y=) to double check.
Answer:
y= (x-2)^2/4-7
Step-by-step explanation:
Answer:
2.28%
Step-by-step explanation:
Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.
The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

For a raw score (x) of 81 points, the z score can be calculated by:

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:
P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%