Answer:
The probability that a manufactured ball will be rejected is 0.99, to two decimal places.
Step-by-step explanation:
The mean weight is 16 Ibs. The standard deviation of the weights of all manufactured balls from the mean weight is 25. The distribution is normal. With a standard deviation this large, it is already obvious that there is a high probability of producing or having rejected balls. The weights of the balls produced here ranges from (16-25)Ibs to (16+25)Ibs.
That's -9Ibs to 41Ibs.
The minimum permissible weight is 15.68. Any ball with a lesser weight gets kicked out!
So the distance or difference between this figure and the mean is (16-15.68) = 0.32
So the probability of obtaining less than 15.68Ibs or the probability of having balls between the lower boundary of -9Ibs and 15.68 is:
25-0.32 = 24.68
24.68 ÷ 25 = 0.9872 ~ 0.99 to two decimal places.
The answer to the equation is 6
Answer: 
Step-by-step explanation:
First find slope m. From observing the equation we can see that there are two points on the line. They are (-5,-4) and (-1,-6). Using the formula to find slope rise/run we get m = -0.5.
Now we use the point-slope formula to start the switch to the slope-intercept formula. Using (-1,-6) as our x and y values and switching m=-0.5 we get y + 6 = -0.5 ( x + 1). Simplify and we get y + 6 = -x/2 - -0.5. Subtract 6 from both sides and the final equation is y = -x/2 - 6.5.
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