Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Well... the segment FG = 4x + 3, the segment GH = 7x - 12, now, the
segment FH = FG + GH, those two fellows added up, and we know that FG and GH are both equal halves because G is the midpoint.
thus, FG = GH
or
and fairly sure, you know how much that is.
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
A = 6.7 :) hope this helps I double checked
Answer:
diameter ≈15.6
Step-by-step explanation:
To solve this;
volume of a sphere = 4/3 πr³
From the question given;
volume of the sphere = 268
lets substitute and solve for r
volume of sphere = 4/3 πr³
268 = 4/3 × 3.14 × r³
268 =4.19 × r³
Divide both-side of the equation by 4.19
268/4.19 = r³
63.96 = r³
Take the cube root of both-side
∛63.96 = r
7.8 ≈ r
but diameter = 2r = 2×7.8 =15.6
