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3 years ago

How many subsets of the set $\{1,2,3,4, 5, 6, 7, 8, 9, 10\}$ contain the number 5?

1 answer:

6 0

For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024

</span>

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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

2 years ago

Express as a fraction in simplest form: 43.5%

valkas [14]

Answer:

43.5/100

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

F(x)=6x-3 graph the function in inverse

Digiron [165]

Answer:

See attachment.

Step-by-step explanation:

f(x) = 6x - 3

y = 6x - 2

Switch out x for y.

x = 6y - 2

Solve for y.

x + 2 = 6y

$\frac{x+2}{6}$ = y

Graph.

5 0

3 years ago

their was only 1/2 pizza 3 needed 2 share it ... how much of the original pizza woud each person get please help right away!!!!!

denpristay [2]

We are going to have to divide...
We have to put 1 as a denominator for 3 because it's a whole.
$\frac{1}{2} / \frac{3}{1}$
Cross multiply.
$1*1=1$
$3*2=6$
$= \frac{1}{6}$
Each person would get $\frac{1}{6}$ of the original pizza.

Have a nice day! :)

8 0

3 years ago

The area of a rectangular deck is 132 square feet. The length of the deck is 12 feet. What

Oksanka [162]

The Actual Answer Is 11 ft. You just have to divide 132 and 12 and you get 11

3 0

3 years ago