Answer:
40 ft, max height
Step-by-step explanation:
Nick tossed a penny off a 20 foot bridge.
The path of the penny's height can be modeled by the equation h(t) = -16t^2 + 40t + 20.
Find the maximum height of the penny.
:
Find the axis of symmetry, x = -b/(2a); a=-16, b=40
36 as the power of 6 is 6^2.
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Answer:
a)
b) t=1.172
c) The null hypothesis failed to be rejected.
There is no enough evidence to claim that the mean tornado length is greater than 2.4 miles.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The sample mean is 2.74 and the sample standard error is 0.29.</em>
We have to test the claim that the mean tornado length is greater than 2.4 miles.
The appropiate null and alternative hypothesis are:
As the population standard deviation is not known, the sample standard deviation is used as an estimation. The statistic is T-student instead of the z-value.
The degrees of freedom are
The P-value for this t-statistic is
At a significance level of 0.05, the P-value is greater, so the effect is not significant and the null hypothesis failed to be rejected.
There is no enough evidence to claim that the mean tornado length is greater than 2.4 miles.
Answer:
x = 16
Step-by-step explanation:
6x + 4 and 5x are adjacent angles on a straight line and sum to 180° , that is
6x + 4 + 5x = 180
11x + 4 = 180 ( subtract 4 from both sides )
11x = 176 ( divide both sides by 11 )
x = 16
8x-36 is the answer to this problem