Answer 38.6
Step-by-step explanation:
21 x .84 = 17.64
17.64 + 21 = 38.64
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)
P = f*s
f +3s = 60
p = (60 -3s)*s = 3(20 -s)*s
This equation describes a parabola that opens downward. The roots of the equation are s=0 and s=20, so the axis of symmetry is s=(0+20)/2 = 10. That is, the vertex (maximum) will be found at s=10.
The second number is 10. The first number is 60-3*10 = 30.
The product is maximized when the first number is 30 and the second is 10.
48 ÷ 24 = 2
24 goes into 48 2 times.