Answer:
see explanation
Step-by-step explanation:
To find k, calculate the ratio of corresponding sides, image to original, that is
k = 
= 
= 
Thus
QR' = × QR = × 21 = 2 × 3 = 6 , that is
x = 6 → C
Answer:
a) 0.108
b) 1.00
c) 0.170
d) 0.0109
e) 0.0121
f) 0.999
Step-by-step explanation:
Success: p = 0.15
Failure: q = 1 - p = 0.85
a) q²p = 0.85² × 0.15
= 0.108375 = 0.108 (3 sf)
b) 1 - P(all hits)
= 1 - p⁷ = 1 - 0.15⁷
= 0.9999982914= 1.00 (3 sf)
c) q³p + q⁴p = 0.1704196875
= 0.170 (3 sf)
d) 7C4×p⁴×q³ = 35 × 0.15⁴ × 0.85³
= 0.01088152734 = 0.0109 (3 sf)
e) P(4,5,6 or 7)
= 7C4×p⁴×q³ + 7C5×p⁵×q² +
7C6×p⁶×q + 7C7×p⁷×q⁰
= 0.01210317188 = 0.0121 (3 sf)
f) 1 - P(more than 4)
= 1-(0.01210317188-0.01088152734)
= 1 - 0.001221644531
= 0.9987783555 = 0.999 (3 sf)
Answer:
Step-by-step explanation:
There could be 2 3 4 6 or 12. You can use any number that divides evenly into 12. I don't think you can use 1 because the question says members. The next question is, do you include Sharon in the group (so she gives herself a share) and again I will answer yes. She has to get something out of the deal.
2: each member gets 3 red and 3 white. ( don't say 6 red and 6 white.)
3: Each member gets 4 in total 2 red and 2 white each
4: Each member gets 4 in total. This can be split 2 ways.
6: Each member gets 2 in total: 1 red and 1 white.
12: Each member gets 1. 6 get red and the others get white.
Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
