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Stella [2.4K]
3 years ago
11

What is the equation for the axis of symmetry of your quadratic ? Y=x^2-4x

Mathematics
1 answer:
vekshin13 years ago
6 0

Answer:

y =  {x}^{2}  - 4x \\ y = x(x - 4)

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yes

Step-by-step explanation:

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A gift box in the shape of a cube has a volume of 216 cm3 . What is the area of the base of the box
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The volume consists of L*W*H. Since it is a cube, each measurement will be the same. The cube is 6 for Length, width, and height. The SA for the base of the box is 36cm. 
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Bella had already read 20% of the book before her teacher assigned it to the class. She is choosing between two options to finis
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How big is the book?

If it has more than 96 pages remaining 25% each night is quicker if it has less that 96 or less remaining 24 pages a night is faster

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Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
2 years ago
What is the solution set of these system5x-2y=17 and 4x-7=13?
MatroZZZ [7]

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for <em>x</em> using the 4x-7=13 equation by <u>isolating terms containing the variable</u>:

4x-7=13\\4x=20\\\fbox{x=5}

Great! <em>x</em> is 5... let's find <em>y</em>.

Step 2:

Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:

5x-2y=17\\

<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.

5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}

<em>I hope this helps! Let me know if you have any questions :)</em>

3 0
2 years ago
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