V = PI x r^2 x H
1348.79 = 3.14 x 5.5^2 x H
1348.79 = 94.985 x h
h = 1348.79 / 94.985
h = 14.2 cm ( round answer if needed)
Answer: 6
Step-by-step explanation:
Counter= *
All of counters
************
group one Group Two
****** ******
Step-by-step answer:
Given:
mean, mu = 200 m
standard deviation, sigma = 30 m
sample size, N = 5
Maximum deviation for no damage, D = 100 m
Solution:
Z-score for maximum deviation
= (D-mu)/sigma
= (100-200)/30
= -10/3
From normal distribution tables, the probability of right tail with
Z= - 10/3
is 0.9995709, which represents the probability that the parachute will open at 100m or more.
Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.
P(all five safe) = 0.9995709^5 = 0.9978565
So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m
Answer:
Step-by-step explanation:
Let the number of games is g
<u>Total cost at Mar Vista:</u>
<u>Total cost at Pinz:</u>
<u>Since same amount spent in both places, we have:</u>
- 3.5g + 2 = 3.25g + 5
- 3.5g - 3.25 = 5 - 2
- 0.25g = 3
- g = 3/0.25
- g = 12
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
![f(-x)=f(x)](https://tex.z-dn.net/?f=f%28-x%29%3Df%28x%29)
And an odd function has the following property:
![f(-x)=-f(x)](https://tex.z-dn.net/?f=f%28-x%29%3D-f%28x%29)
So, let's test some values for cos(x).
Let's use π/3:
![f(\pi/3)=\cos(\pi/3)](https://tex.z-dn.net/?f=f%28%5Cpi%2F3%29%3D%5Ccos%28%5Cpi%2F3%29)
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
![f(-\pi/3)=\cos(-\pi/3)](https://tex.z-dn.net/?f=f%28-%5Cpi%2F3%29%3D%5Ccos%28-%5Cpi%2F3%29)
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!