Answer:
16 meters
Step-by-step explanation:
The height function is given by:
The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:
For x = 3 seconds, the height is:
The maximum height that the ball will reach is 16 meters.
Answer:
i cant even see properly
Step-by-step explanation:
Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
18 over 36 simplified is 1/2
A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)
We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday
A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.
The confidence interval of proportions is given by:
π ± z √(π (1-π) /n)
π is the sample proportion.
z is the critical value.
n is the sample size.
For 99% confidence interval the value of z is 2.58
π = 321/650
The confidence interval is given by
=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)
= (0.493846 ± 0.050594)
=(0.4434 , 0.5443)
=(44.34 % , 54.43 %)
Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)
<u>Learn more about confidence interval:</u>
brainly.com/question/28052710
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