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%
7a^3(6a^2 + a)^2 - 4a^6
All we have to do here is basically add and subtract exponents!
(6a^2 + a)^2 = 36a^4 + a^2
7a^3(36a^4 + a^2) - 4a^6
252a^7 + 7a^5 - 4a^6
Answer is C.
Last Question
Because this may not be the question you want, I'll omit the first step which should be done with latex. The key to all of these except C is to invert the second fraction (turn the second fraction upside down) and multiply.
A

=(6*-2) / (5*3) = - 12/15 = -4/5
B
= (7*5) / (4*3) = 35 / 12 = 2 11/12
C
Impossible to do 4/0 cannot be done.
D

= (-2*-4)/(3*5) =
8/15
Answer:
x = 60
Step-by-step explanation:
Perhaps you want the solution to this equation.
Subtract 0.18x from both sides:
8.4 = 0.14x
Divide by the coefficient of x.
8.4/0.14 = x = 60
Answer:
I think it's the third one.