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2 years ago

7

A triangle is rotated 90° about the origin. Which rule describes the transformation? (x, y) -(-x, -y) (x, y) - (-y, x) (x, y) -

(-4, -x) (x, y) (y, -x)

1 answer:

MArishka [77]2 years ago

5 0

Answer:

(x, y) arrow (-y, x)

Step-by-step explanation:

Therefore rule of counter is (x,y) arrow (-y,x) ...we have given a triangle is rotated 90'

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Which expression can be used to find 80% of 120?

Vinil7 [7]

Answer:

C.(0.8) (120)

Step-by-step explanation:

0.8 = 80%

of means multiply, therefore, 0.8 x 120 equals 80% of 120.

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2 years ago

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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

On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?

tatyana61 [14]

Find 4/5 of 500.

4/5*500=400

You will roll 400 sixes.

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2 years ago

please help pleeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaasssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeee

Aloiza [94]

Answer:

3 minutes: 792

30 minutes: 7920

Step-by-step explanation:

Since 264 parts are made in one minute you can multiply 264 with 3 for 3 minutes:

264 times 3 is 792

For 30 minutes, we can multiply 264 with 30:

264 times 30 is 7920

Hope this helps!

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2 years ago

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Mel used partial quotients to find the quotient of 378 divided by 3.What could be the partial quotient that Mel found?

Genrish500 [490]

Answer:

The partial quotients are 100, 20 and 6. The quotient is 126.

Step-by-step explanation:

The dividend is 378 and the divisor is 3.

First find the factors of 3, near to 300.

$3\times 1=3$

$3\times 10=30$

$3\times 100=300$

The value 300 is less than 378, so record the partial quotient 100 and subtract 300 from 378. Repeat the same process until the dividend has been zero.

Now the remaining divide is 78.

First find the factors of 3, near to 78.

$3\times 20=60$

$3\times 30=90$

Since 90>78, therefore 30 is not a partial quotient. The value 60 is less than 78 , so record the partial quotient 20 and subtract 60 from 78.

Now the remaining divide is 18.

$3\times 6=18$

The number 6 is a partial quotient.

Therefore partial quotients are 100, 20 and 6. Add the partial quotient to find quotient.

$100+20+6=126$

3 0

3 years ago