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3 years ago

How can a sequence of transformations be used to justify whether two figures are congruent or similar?

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

A sequence of transformation can move two congruent figures to the same place (vertical / horizontal shifts). This causes them to perfectly overlap, proving their congruency.

A sequence of transformations can be used to show that something is similar, because if one were to transform a figure with only shrinks / stretches, one can shrink / stretch them to make them congruent. If only shrinks or stretches were done, and if the result of the transformation is congruent to the other figure, then the figures are similar (sides are proportional and shrinking/stretching them proves proportionality to other figure).

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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

| 1:3=4:<br> How do I awnser this

Dennis_Churaev [7]

Answer: 1/3=4

⅓-4= 1/3-4/3

4 0

3 years ago

In the equation y = 8x - 2, name the slope (m) and the y-intercept (b). Type in the value for each below. *

kozerog [31]

y = mx + b

m = Slope

b = y-intercept

y = 8x - 2

m = 8

b = -2

y = 1/4x + 6

m = 1/4

b = 6

5 0

3 years ago

Read 2 more answers

What is the best estimate for this sum?

Pavlova-9 [17]

Answer:

The sum is close to 1/2

Step-by-step explanation:

1/4 = 7/28
2/7 = 8/28
7/28 + 8/28 = 15/28

14/28 = 1/2 and 15/28 is close to 14/28

3 0

2 years ago

Read 2 more answers

What is the equation for <br><br> 6/7 - 1/8=

miv72 [106K]

Another way to put 6/7 - 1/8 is 48/56- 7/56 since the LCM of 7 and 8 is 56 (if you don’t know what that is I can explain it) sorta like subtraction you subtract both numerators (48 and 7 or 48-7) which gives you 41 then you put the denominator (56) below that. So in other words it equals 41/56

3 0

3 years ago