You can use the equation to find the slope of a line given two points. This equation is y2 - y1 divided by x2 minus x1. The y2 is represented by the y coordinate of the second ordered pair, but it really doesn't matter, either way you get the same answer. The same way the x2 is represented by the x coordinate of the second ordered pair. For this problem, I will just use the normal coordinates. So the second y coordinate is 3. 3 -0 = 3. So your numerator is 3. The second x coordinate is 2. 2-0 = 2. So the denominator is 2. This is 3/2. So your slope would be 3/2. Hope this helps. :D Let me know if you didn't understand something in my explanation.
Answer:
The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:

The standard deviation of this sampling distribution of sample proportion is:

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.
The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.
A random sample of <em>n</em> = 111 keypads is analyzed.
Then the sampling distribution of
is:

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:


Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
A way to help solve an equation or a series of equations
Answer: cos (25° + 10°)
Step-by-step explanation: The expression:
sin(25°) cos(10°) − cos(25°) sin(10°)
is associated to the expression for the cosine of the sum of two angles that is:
cos (α+β) = sinα *cosβ -cosα*sinβ
Hence if we do α = 25° and β = 10°
by subtitution we get:
cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)
Answer:
9.58
Step-by-step explanation:
total score needed
9.5 * 5 = 47.5
Score from 4 judges
9.48 * 4 = 37.92
Score needed from 5th judge
47.5 - 37.92 = 9.58