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ELEN [110]
2 years ago
14

Solve for X. Plz I can't figure it outtt!

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

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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
Explain why you think it is or is not possible to give the exact length of the circumference as a decimal.
Naddik [55]

Answer:

It is not possible.

Step-by-step explanation:

How exact is exact? Since the circumference of a circle depends on pi, you have to discuss the nature of pi. C = pi * the diameter.  

You are getting to a place where the air is pretty thin when you start dealing with pi. Pi has an infinite number of digits associated with it. Not only that, but if I were to tell you what the 100th digit was, you would have a random chance of figuring out what the 99th digit was or the 101 digit should be, that's only to the hundredth digit. The circumference would go beyond what we can measure with the thousandth digit.

In addition, pi is an irrational number. That means it cannot be represented by any kind of a fraction.


8 0
3 years ago
(-2.66) multiplied by (18.44)
Stells [14]

Answer:

I think the answer you're looking for is -49.05

(longer version: -49.0504)

4 0
3 years ago
What is the area of the figure below
Viefleur [7K]

Answer:

390cm

Step-by-step explanation:

1. find area of rectangle

 1. 15cm x 20cm= 300 cm

2. find area of triangle

  1. 1/2 (12 x 15)= 90cm

300+90

4 0
3 years ago
What is 328/25 as a whole number
bagirrra123 [75]

Answer:

13.12

Step-by-step explanation:

5 0
3 years ago
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