Answer:by colonial opposition to British attempts to impose greater control over the colonies and to make them repay the crown for its defense of them during the French and Indian War (1754–63)
Answer:
7 seconds
Step-by-step explanation:
Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...
h(t) = -16t^2 +64t +336
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This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.
0 = -16t^2 +64t +336
0 = t^2 -4t -21 . . . . . . . . divide by -16
0 = (t -7)(t +3) . . . . . . . factor the quadratic
t = 7 . . . . . . the positive value of t that makes the equation true
The ball will return to the ground after 7 seconds.
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<em>Additional comment</em>
A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.
In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.
Its 12 MORE than m so its addition, m +12
Answer:
At a 5% significance level we reject the Null hypothesis ![H_0](https://tex.z-dn.net/?f=H_0)
Step-by-step explanation:
From the question we are told that:
Distance ![d= 100](https://tex.z-dn.net/?f=d%3D%20100)
Mean ![\mu=9.6](https://tex.z-dn.net/?f=%5Cmu%3D9.6)
Sample size ![n=16](https://tex.z-dn.net/?f=n%3D16)
Sample mean ![\=x=9.7](https://tex.z-dn.net/?f=%5C%3Dx%3D9.7)
Standard deviation ![\sigma= 0.1](https://tex.z-dn.net/?f=%5Csigma%3D%200.1)
significance level ![\alpha=5%=>0.05](https://tex.z-dn.net/?f=%5Calpha%3D5%25%3D%3E0.05)
Generally the Hypothesis is mathematically given by
![H_0=\mu=9.6](https://tex.z-dn.net/?f=H_0%3D%5Cmu%3D9.6)
![H_a=\mu=9.6](https://tex.z-dn.net/?f=H_a%3D%5Cmu%3D9.6)
Generally the equation for t test statistics is mathematically given by
![t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5C%3Dx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
![t=\frac{9.7-9.6}{\frac{0.1}{\sqrt{16} } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B9.7-9.6%7D%7B%5Cfrac%7B0.1%7D%7B%5Csqrt%7B16%7D%20%7D%20%7D)
![t=4](https://tex.z-dn.net/?f=t%3D4)
Therefore P-Value from table
![P-Value=0.000](https://tex.z-dn.net/?f=P-Value%3D0.000)
![\alpha>P-value](https://tex.z-dn.net/?f=%5Calpha%3EP-value)
Therefore
At a 5% significance level we reject the Null hypothesis ![H_0](https://tex.z-dn.net/?f=H_0)
Answer:
x 12 =
Step-by-step explanation:
x 12
Multiply the fractions:
3 x 12 = 36 and then 19 is the same so its 36 over 19
Simplify the arithmetic:
![\frac{36}{19}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B19%7D)
Decimal result 1.895
or even simpler 1 ![\frac{17}{19}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B19%7D)