Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

Now the differentiating the equation with respect to time t, we get


For maximum height, 
So, 



Therefore, the ball takes 2.5 seconds time to reach the maximum height.
Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
![CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]](https://tex.z-dn.net/?f=CI%3D%5Cmu%2B2%5Csigma%5C%5C%5C%5C%3D44%5Cpm%202%285%29%5C%5C%5C%5C%3D44%5Cpm%2010%5C%5C%5C%5C%3D%5B34%2C54%5D)
Hence, the interval is [34,54]
Answer:
B.23-14i
Step-by-step explanation:
(3x5)+(3x2i)-(4ix5)-(4ix2i)
15+6i-20i-8(-1)
15+6i-20i+8
23-14iฟ
You would do percent of change.
meaning you would subract 65 and 50 to get 15. then you would put 15 over 50 (as a fraction) then equals r/100. then you would cross multiply to get r.
orginal:50
new:65
65-50=15
15/50=r/100
15r=5000
then divide by 15 to get r
Well, 100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.