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Rom4ik [11]
4 years ago
5

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Mathematics
1 answer:
Mumz [18]4 years ago
3 0

Answer: 108

Step-by-step explanation: −4×(−2−1)×(−2−1)×(−2−1)

−4×−3×−3×−3

12×−3×−3

−36×−3

108

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Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10
AnnyKZ [126]

Answer:

a)P=0.42

b) n\geq 297

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}

a) we have k=2, n=10 and p=0.01:

P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42

b) We have, 1-(1-p)^n=P, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
3 years ago
HELP if correct I give the best rating.
Charra [1.4K]
What do you need help in?
6 0
4 years ago
What is the average rate of change of the line whose equation is y-5=-(x-3)?
lana66690 [7]
The answer of the equation is 0
8 0
4 years ago
An employee puts 10000 in a retirement account that offers 4% interest. How much will he have in 12 years
steposvetlana [31]

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

4 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 45e -27f
mojhsa [17]

Answer:

9 (5e - 3f)

Step-by-step explanation:

45e -27f

45e = 9*5*e

27f = 9*3*f

The common factor is 9

9*5*e -  9*3*f

9 (5e - 3f)

8 0
3 years ago
Read 2 more answers
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