Answer:
5 times
Step-by-step explanation:
Given that the probability of a 2 is 
then number of times a 2 will be rolled is
30 × = 5
Answer:
24 cm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
2304 pi = 4/3 pi r^3
Divide each side by pi
2304 = 4/3 r^3
Multiply each side 3/4
2304 * 3/4 = 4/3 r^3 * 3/4
1728 = r^3
Take the cube root of each side
1728 ^ 1/3 = r^3 ^ 1/3
12 = r
We want the diameter
d = 2*r
d = 2*12
d = 24
Answer:7
Step-by-step explanation:
Answer:
It is binomial:
p= 0.75 = 75%
1-p = 0.25 = 25%
N = 10
k=7
"seven successes in 10 trials"
(10 choose 7) (0.75)^7 ( 0.25)^3 =
(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =
(5*3*8) (0.75)^7 ( 0.25)^3
120 (0.75)^7 ( 0.25)^3
= 0.25028228759765625
or just over 25%
Step-by-step explanation:
(2x + 3)⁵
(2x + 3)(2x + 3)(2x + 3)(2x + 3)(2x + 3)(2x + 3)
(2x(2x + 3) + 3(2x + 3))(2x(2x + 3) + 3(2x + 3)(2x + 3)
(2x(2x) + 2x(3) + 3(2x) + 3(3))(2x(2x) + 2x(3) + 3(2x) + 3(3))(2x + 3)
(4x² + 6x + 6x + 9)(4x² + 6x + 6x + 9)(2x + 3)
(4x² + 12x + 9)(4x² + 12x + 9)(2x + 3)
(4x²(4x² + 12x + 9) + 12x(4x² + 12x + 9) + 9(4x² + 12x + 9))(2x + 3)
(4x²(4x²) + 4x²(12x) + 4x²(9) + 12x(4x²) + 12x(12x) + 12x(9) + 9(4x²) + 9(12x) + 9(9))(2x + 3)
(16x⁴ + 48x³ + 36x² + 48x³ + 144x² + 108x + 36x² + 108x + 81)(2x + 3)
(16x⁴ + 48x³ + 48x³ + 36x² + 144x² + 36x² + 108x + 108x + 81)(2x + 3)
(16x⁴ + 96x³ + 216x² + 216x + 81)(2x + 3)
16x⁴(2x + 3) + 96x³(2x + 3) + 216x²(2x + 3) + 216x(2x + 3) + 81(2x + 3)
16x⁴(2x) + 16x⁴(3) + 96x³(2x) + 96x³(3) + 216x²(2x) + 216x²(3) + 216x(2x) + 216x(3) + 81(2x) + 81(3)
32x⁵ + 48x⁴ + 184x⁴ + 288x³ + 432x³ + 648x² + 432x² + 648x + 162x + 243
32x⁵ + 232x⁴ + 720x³ + 1080x² + 810x + 243
