How do I evaluate 5/6 × 42
1 answer:
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Left Problem: (first attached figure)
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.
Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.
Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.
Answer: a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%
Step-by-step explanation:
Since we have given that
Mean = 330 grams
Standard deviation = 15 grams
(a) About 68% of organs will be between what weights?
We will use 68-95-99.7 rule, it is empirical.
as we know that
So,
So,the 68% of the data falls within three standard deviation or will be between (315 grams and 345 grams)
(b) What percentage of organs weighs between 285 grams and 375 grams?
so, 99.7 % of organs weighs between 285 grams and 315 grams, because the these two values are within one standard deviation of the mean.
(c) What percentage of organs weighs less than 285 grams or more than 375 grams?
Since it is 3 standard deviation below the mean and 3 standard deviations above the mean.
so, it becomes
Since 285 grams is 3 standard deviation below the mean(=330 grams) and 375 grams is 3 standard deviation above the mean(=330 grams).
So 0.14% data is lies below the 285 grams and 0.14% data is lies above the 375 grams.
(d) What percentage of organs weighs between 300 grams and 375 grams?
So, 300 grams is 2 standard deviation below the mean i.e. 330 grams and 375 grams is 3 standard deviation above the mean i.e. 330 grams.
so, percentage of organs weighs would be
Hence, a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%.