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ryzh [129]
3 years ago
15

...........................​

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

20

Step-by-step explanation:

5 divided by 1/4= 20

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Simplify the following expression
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1\frac{1}{216}

Step-by-step explanation:

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Answer:

  • l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

<u>A dilation by a factor of 4 with the origin as the center of dilation</u>

  • This results in both coordinates multiplied by 4
  • (x, y) → (4x, 4y)

<u>A reflection across the y-axis</u>

  • This results in x-coordinate changing sign to opposite
  • (4x, 4y) → (-4x, 4y)

<u>A 90° counterclockwise rotation about the origin</u>

  • This results in x-coordinate swapping with negative y-coordinate
  • (-4x, 4y) → (-4y, -4x)

<u>A translation 3 units down</u>

  • This results in y-coordinate change by -3
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<u>The final function is: </u>

  • l(x) = (-4y, -4x - 3)

7 0
3 years ago
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A well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece. What is the probability of getting a coo
posledela

The probability of getting a cookie with no more than 3 chips is 0.714.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece.

Using poison ratio:

\rm P (X = k) = \dfrac{\lambda^k e^{-\lambda}}{k!}

λ is the mean number of chocolate chips in a piece

\rm P (X = 6) = \dfrac{6^k e^{-6}}{k!}

P(X ≥ 5) = 1 - P(X < 5)

P(X ≥ 5) = 1 - P(X = 0) + P(X = 1)  + P(X = 2)  + P(X = 3) + P(X = 4)  

\rm P(X \geq  5)  =  1-[\dfrac{6^0 e^{-6}}{0!}+\dfrac{6^1 e^{-6}}{1!}+\dfrac{6^2 e^{-6}}{2!}+\dfrac{6^3 e^{-6}}{3!}+\dfrac{6^4 e^{-6}}{4!}]

After solving;

P(X ≥ 5) = 0.714

Thus, the probability of getting a cookie with no more than 3 chips is 0.714.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
Helppp! Please! thank you!!!!!!
german

Answer:

Oranges: 3/2

Apples: 1 4/5

Blueberries: 3/4

Peaches: 2


Step-by-step explanation:


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