C.
(I’m pretty sure but if I’m wrong I apologize in advance)
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2
Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2
Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm
So the radius of the cone is 12 cm
Answer:
0.07776, 0.3456,0.08704
Step-by-step explanation:
Given that a new surgical procedure is said to be successful 60% of the time
Let X be the no of successes
Then X has only two outcomes and each trial is independent of the other
Hence X is binomial with p = prob of success in a single trial = 0.60
n = Number of operations performed = 5
Prob that
a) all five operations are successful =

(b) exactly three are successful
=
(c) less than two are successful

Answer:Partial quotients Paloma should show in her work are B) 30,10,1.
Step-by-step explanation:
Given : Paloma dividing 1292 (dividend) by 31 (divisor) using partial quotients.
so the easy multiples of 31 are as 31×2=62 ,31×3=93,31×10=310....so on
if she uses 30 as her first partial quotient then 31×30=930, so after subtracting 930 from 1292 we get 362 as new dividend then 31×10=310 is the easiest multiple of 31 so that 362-310=52 as new dividend ,then 31×1=31 subtracting this from 52 gives 52-31=21 which is the remainder.
Therefore, Partial quotients Paloma should show in her work are 30,10 and 1.
Answer:
x > -1
Step-by-step explanation:
Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.
Subtract 5 from both sides:
x + 5 (-5) > 4 (-5)
x > 4 - 5
x > -1
x > -1 is your answer.
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