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hjlf
3 years ago
10

What are the coordinates of the vertex of the function y-11=-(x-5)^2?

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0
The answer to the question is y=<span><span><span>−<span>x2</span></span>+<span>10x</span></span>−<span>14</span></span>
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A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A st
Anon25 [30]

Answer:

(a) The probability that a randomly selected U.S. adult uses social media is 0.35.

(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an US adult who does not uses social media.

<em>Y</em> = an US adult between the ages 18 and 29.

<em>Z</em> = an US adult between the ages 30 and above.

The information provided is:

P (X) = 0.35

P (Z) = 0.78

P (Y ∪ X') = 0.672

(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)

                                                   =1-P(X)\\=1-0.35\\=0.65

Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)

                                            =1-P(Z)\\=1-0.78\\=0.22

Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

                =0.22+0.65-0.672\\=0.198

Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

6 0
3 years ago
What is the range of possible sizes for side x?
Murljashka [212]

Answer:

it might be 8-9.5 correct me if i am wrong

Step-by-step explanation:

8 0
2 years ago
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X + 3 = 15<br> Solve the equation and check for the solution
dangina [55]

Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

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3 years ago
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Question 30
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Answer:3

Step-by-step explanation:

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3 years ago
What is the value of x in a right triangle when the other two sides are each 12. Write in simplest radical form
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x is the hypotenuse so it means the other ones that are adjacent and opposite and you're looking for the hypotenuse so you can do c Square equals to a square + b square

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