Answer:
<h2>x = 15</h2>
Step-by-step explanation:
Answer:
padlet com /vpena20241
/sv1blyklvnvfbcdw
Step-by-step explanation:
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.
The set when z = -5 is {-27, -9, -5}
<h3>How to determine the set elements?</h3>
The set is given as:
{(4z-7,z-4,z) |z is any real number}
When z=-5, we have:
4z - 7 = 4(-5) - 7 = -27
z - 4 = -5 - 4 = -9
z = -5
So, we have:
{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}
Hence, the set when z = -5 is {-27, -9, -5}
Read more about sets at:
brainly.com/question/8053622
#SPJ1
Answer:
x=1
Step-by-step explanation:
1) multiply the numbers
2) combine multiplied terms into a single fraction
3) distribute
4) combine fractions with common denominator
5) combine like terms
6) multiply all terms by the same value to eliminate fraction denominators
7) cancel multiplied terms that are in the denominator
8) multiply the numbers
9) add 35/4 to both sides of the equation
10) simplify
( add the numbers twice)
11) divide both sides of the equation by the same term
12) simplify
(divide the numbers, cancel terms that are in both the numerator and denominator, and last but not least move the variable to the left)
well and behold your answer is x=1
