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.
Answer:
c. (-4, 0)
Step-by-step explanation:
F(X) = -3X - 4
Y = -3X-4
SWAP X AND Y: x = -3y -4
y = -1/3x - 4/3
f⁻¹(x) = -1/3x - 4/3
point (-4,0): x = -4 y = f⁻¹(-4) = (-1/3)*(-4) - 4/3 = 4/3 - 4/3 = 0
Answer:6
Step-by-step explanation:
500/12 is 41 so therefore you do 48/12 is 6.
Step-by-step explanation:
0.002
ones is 0
tenths is 0
hundreths is 0
thousandths is 2
Answer:
He will save $7,248 in 2 years.
Step-by-step explanation:
The whole explanation is in the picture :)
