What inverse operation should be used to isolate the variable in the equation c ÷ 7 = 2?
1 answer:
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THIS IS THE COMPLETE QUESTION
basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?
Yes, exactly 0.6 seconds after the shot is launched.
Yes, between 0.64 seconds and 0.65 seconds after the shot is launched
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
No, the shot is not blocked.
Answer:
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
Given that the
equation for shot block height h = 9 + 25t – 16t2.
equation for ball height h = 6 + 30t – 16t2.
From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds
CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION
Answer:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16