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Ierofanga [76]
3 years ago
7

Jake has finished pouring 4,865 cubic feet out of a total of 27,000 cubic feet of concrete. What percent of the job has he compl

eted?
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
The total is the 100% and that is 27000, the question is what percentage is 4865
We can use a simple rule of three, direct proportion to solve:
27000 ft^3 --------> 100%
 4865 ft^3 ---------> x
x =(4865)(100)/27000
x = 18.02
therefore 4865 ft^3 is 18.02% of 27000 <span>ft^3</span>
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\displaystyle P(A)=\frac{6}{11}

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\}

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\displaystyle \frac{5}{11}

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\displaystyle \frac{6}{10}

Thus the option WN has the probability

\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}

Now for the second option NW. The initial probability to pick a non-white counter is

\displaystyle \frac{6}{11}

The probability to pick a white counter is

\displaystyle \frac{5}{10}

Thus the option NW has the probability

\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}

The total probability of event A is the sum of both

\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}

\boxed{\displaystyle P(A)=\frac{6}{11}}

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