Use the Pythagorean theorem
Side = sqrt(8^2 - 6^2)
Side = sqrt(64-36)
Side = sqrt(28)
Side = 5.29
Rounded to nearest tenth = 5.3
Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as
For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,
Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
Answer:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3
Complete the square
Rewrite as perfect squares
The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21
5.88 / 3 = 1.96 per pound
original price - 1.21 per pound
Answer:
the third one
Step-by-step explanation: