6 multiplies by 6.57 gives ya 39.42
Answer:
B
Step-by-step explanation:
Since T is at the midpoint of SU, then
ST = TU , substitute values
8x = 3x + 20 ( subtract 3x from both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Thus
ST = 8x = 8(4) = 32
9514 1404 393
Answer:
7.51 m
Step-by-step explanation:
The equation matches that required for finding the length of a pendulum that has a period of 5.5 seconds. We can solve for L to find the length.
![5.5=2\pi\sqrt{\dfrac{L}{9.8}}\\\\\dfrac{5.5}{2\pi}=\sqrt{\dfrac{L}{9.8}}\\\\\left(\dfrac{5.5}{2\pi}\right)^2=\dfrac{L}{9.8}\\\\L=74.1125/\pi^2\approx7.509](https://tex.z-dn.net/?f=5.5%3D2%5Cpi%5Csqrt%7B%5Cdfrac%7BL%7D%7B9.8%7D%7D%5C%5C%5C%5C%5Cdfrac%7B5.5%7D%7B2%5Cpi%7D%3D%5Csqrt%7B%5Cdfrac%7BL%7D%7B9.8%7D%7D%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B5.5%7D%7B2%5Cpi%7D%5Cright%29%5E2%3D%5Cdfrac%7BL%7D%7B9.8%7D%5C%5C%5C%5CL%3D74.1125%2F%5Cpi%5E2%5Capprox7.509)
The length of a pendulum with period 5.5 seconds is about 7.51 meters.
The events
are independent if and only if
. Under this condition, we have conditional probabilities
![P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{P(A)\cdot P(B)}{P(B)}=P(A)](https://tex.z-dn.net/?f=P%28A%5Cmid%20B%29%3D%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%5Cdfrac%7BP%28A%29%5Ccdot%20P%28B%29%7D%7BP%28B%29%7D%3DP%28A%29)
![P(B\mid A)=P(B)](https://tex.z-dn.net/?f=P%28B%5Cmid%20A%29%3DP%28B%29)
so the answer is D.
Answer:
1/4 of 12 is 3 and 1/3 of 12 is 4
Step-by-step explanation:
If you look at the fraction and the number for example finding 1/3 of 3 if you replace the numerator, in this case one with the number in this case, 3, the fraction ends up as 3/3 and the fraction is just division so you do 3 divided by 3 which gives you 1