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Kipish [7]
3 years ago
14

What is the distance between (-6,4) and (-8,6)

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Answer:

The answer to your question is dAB = \sqrt{8}

Step-by-step explanation:

Data

A (-6, 4)

B (-8, 6)

Process

To solve this problem, just use the formula of the distance between to points, substitute the values, simplify and get the answer.

dAB = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

x1 = -6    y1 = 4    x2 = -8   y2 = 6

-Substitution

dAB = \sqrt{(-8 + 6)^{2} + (6 - 4)^{2}}

-Simplification

dAB = \sqrt{(-2)^{2} + (2)^{2}}

dAB = \sqrt{4 + 4}

-Result

dAB = \sqrt{8}

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Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

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5 0
3 years ago
Which decimal number is equal to 1/8 ?
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4 0
3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

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Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

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Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
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