Answer:
8
Step-by-step explanation:
125 + 85=210.
210 * 8 = 1680.
Therefore, the answer is 8.
We have to determine the number which is rounded to the nearest tenth in the expression 0.304
1.325.
So, let us divide 0.304 by 1.325.
So, we get
= 0.229
Now, we have to round the number 0.229 to the nearest tenth.
The tenths place is to the right of the decimal. Now, we will consider the digit at hundredths place which is '2', which is less than 5.
Therefore, the number rounded to the nearest tenth is 0.2.
Answer:
![\displaystyle P(A)=\frac{6}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28A%29%3D%5Cfrac%7B6%7D%7B11%7D)
Step-by-step explanation:
<u>Probabilities</u>
The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.
Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is
![\Omega=\{WW,WN,NW,NN\}](https://tex.z-dn.net/?f=%5COmega%3D%5C%7BWW%2CWN%2CNW%2CNN%5C%7D)
We are required to compute the probability that only one of the counters is white. It means that the favorable options are
![A=\{WN,NW\}](https://tex.z-dn.net/?f=A%3D%5C%7BWN%2CNW%5C%7D)
Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is
![\displaystyle \frac{5}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B11%7D)
Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now
![\displaystyle \frac{6}{10}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6%7D%7B10%7D)
Thus the option WN has the probability
![\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28WN%29%3D%5Cfrac%7B5%7D%7B11%7D%5Ccdot%20%5Cfrac%7B6%7D%7B10%7D%3D%5Cfrac%7B30%7D%7B110%7D%3D%5Cfrac%7B3%7D%7B11%7D)
Now for the second option NW. The initial probability to pick a non-white counter is
![\displaystyle \frac{6}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B6%7D%7B11%7D)
The probability to pick a white counter is
![\displaystyle \frac{5}{10}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B10%7D)
Thus the option NW has the probability
![\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28NW%29%3D%5Cfrac%7B6%7D%7B11%7D%5Ccdot%20%5Cfrac%7B5%7D%7B10%7D%3D%5Cfrac%7B30%7D%7B110%7D%3D%5Cfrac%7B3%7D%7B11%7D)
The total probability of event A is the sum of both
![\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28A%29%3D%5Cfrac%7B3%7D%7B11%7D%2B%5Cfrac%7B3%7D%7B11%7D%3D%5Cfrac%7B6%7D%7B11%7D)
![\boxed{\displaystyle P(A)=\frac{6}{11}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20P%28A%29%3D%5Cfrac%7B6%7D%7B11%7D%7D)
The answer is -2.21428571429
The answer is 11040 square yards because you have to convert the answer into yards so yeah