Answer:
x = 20.65
Explanation:
Trigonometry is a pretty difficult subject to explain. Let me know if you would like me try.
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:
320
Step-by-step explanation:
300+3x40=120-25x4
300+120-25x4=100
320
Answer:
x = 16
Step-by-step explanation:
(x +4) : (x +12) :: (x-1)(x +5)
As they are in proportion,
Product of means = Product of extremes
(x + 4)* (x +5) = (x + 12)(x - 1) {Use FOIL method}
x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)
x² + <u>5x + 4x</u> + 20 = x² <u>- x +12x</u> - 12 {Now combine like terms}
x² + 9x + 20 = x² + 11x -12
x² + 9x +20 - x² - 11x = -12
x² - x² + 9x - 11x = -12 - 20
0 - 2x = - 32
-2x = -32 {Divide both sides by -2}
x = -32/-2
x = 16
Answer:
$146
Step-by-step explanation:
54.75= 3 hrs
divide both sides by 3
18.25= 1 hr
multiply both sides by 8
$146= 8hrs
