The sample space (list of outcomes) is:
DFNR; DFRN; DRFN; DRNF; DNFR; DNRF;
NFDR; NFRD; NRFD; NRDF; NDRF; NDFR;
RFDN; RFND; RNFD; RNDF; RDFN; RDNF;
FRDN; FRND; FNRD; FNDR; FDRN; FDNR
P(Dave beside Natalie) = 1/2
P(B,G,B,G or G,B,G,B) = 1/3
P(boys in the middle) = 1/6
P(Frida beside Natalie) = 1/2
P(Robbie between Frida & Natalie) = 1/6
P(Natalie between Dave & Robbie) = 1/6
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.
Hey there! I'm happy to help!
VOTES FOR MUNOZ TO SMITH
32:24
We see that both have a common factor of 8, so we can divide both by that.
4:3
This is in simplest form.
VOTES FOR PARK TO MUNOZ
20:32
We see that both have a common factor of 4, so we divide both by that.
5:8
This is completely simplified.
VOTES FOR SMITH TO TOTAL VOTES
24+32+20=76
24:76
We see that both have a common factor of 4, so will divide both by that.
6:19
We cannot simplify any more here.
VOTES FOR SMITH TO MUNOZ TO PARK
24:32:20
We can divide these all by four, so let's do that.
6:8:5
This can't be simplified anymore, so it is in simplest form.
Have a wonderful day! :D
Answer:
4.444444
Step-by-step explanation:
Answer:
Angle UST= 180
Step-by-step explanation:
Im not so sure but angle U= 25 degrees+ angle S=95 degrees+ angle T=60 degrees. Dont rely on me too much I'm only a middle school kid that got put in a highschool course for some apparent reason.
Answer:
60.5
Step-by-step explanation:
11x11 will give you the area of the square, which is 121. Now you can divide that by 2 to get the shaded region.
