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mestny [16]
3 years ago
6

The distance between the library and Sam's home is 3/4 of a mile. He began walking to the

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

Sam has traveled a distance of 9/16 of a mile

Step-by-step explanation:

Here, we want to calculate the distance traveled by Sam so far.

The distance between his home and the library is 3/4 mile = 0.75 mile

Now, he is 1/4 of the way there; this means that he has traveled a total of 3/4 of the total distance.

By being at a distance which is just a quarter of the total, it means he has already traveled 3/4 of the journey.

So the distance traveled so far will be 3/4 of 0.75 or more simply 3/4 of 3/4 = 3/4 * 3/4 = 9/16 of a mile

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Dave, Frida, Natalie, and Robbie have four adjacent seats at a baseball park. They randomly chose an order to sit in. Make a lis
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The sample space (list of outcomes) is:
DFNR; DFRN; DRFN; DRNF; DNFR; DNRF;
NFDR; NFRD; NRFD; NRDF; NDRF; NDFR;
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P(Dave beside Natalie) = 1/2
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Explanation
Letting D=Dave, R=Robbie, N=Natalie, and F=Frida you get the list of possibilites above.

For P(Dave beside Natalie), look for DN or ND.  This appears 12 times out of the 24 possibilities above; 12/24 = 1/2.

For P(B,G,B,G or G,B,G,B), we have the possibilities DFRN, DNRF, RFDN, RNDF, FRND, FDNR, NDFR, NRFD.  There are 8 possibilites out of 24; 8/24 = 1/3.

For P(Frida beside Natalie), look for NF or FN.  This appears 12 times out of the 24 possibilities; 12/24 = 1/2.

For Robbie between Frida and Natalie, look for FRN or NRF.  This appears 4 times out of 24; 4/24 = 1/6.

For Natalie between Robbie and Dave, look for RND or DNR.  This appears 4 times out of 24; 4/24 = 1/6.
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