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Nimfa-mama [501]
3 years ago
8

Amanda purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Amanda used her card

only
once to make a long distance call. If the remaining credit on her card is $16.81, how many minutes did her call last?
minutes
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

29 minutes?

i divided 3.19 by 11 (20 - 16.81 is 3.19) and i got 29 so i think it is that amount of minutes

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zhannawk [14.2K]

Answer:

The answer is 90 songs.

Step-by-step explanation:

Let x be the number she has to transfer, then:

x + 150  =2(210 - x)

x + 150 = 420 - 2x

3x = 420 - 150

3x = 270

x = 90

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3 years ago
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The graph shows the growth of a tree, with x representing the number of years since it was planted, and y representing the tree’
k0ka [10]

Answer:

The tree was 40 in tall when planted

The tree's growth rate is 10in per year

Ten years after Planting, it is 140 inches tall

Step-by-step explanation:

original(slope intercept form) : y = 10x + 40

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4 years ago
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Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or
lana66690 [7]

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

     = 259.2

Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

m   bit (3, 0.94)

At p(m≤1) = B (1; 3, 0.94)

 = 0.010

(b) Using your answer to part (a),

(1 – p) = 0.010

Error for 1 bit transmission error.

(c)  How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

   = B (2; 5, 0.94)

   = 0.002

(d)  Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

        = 25000 x 0.06

         = 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

     = 259.2

3 0
3 years ago
Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{12},0)(± 12 ​ ,0)left parenthesis, plus min
lora16 [44]

Answer:

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

Step-by-step explanation:

Given that :

the foci of the ellipse is (±√12,0) and C0-vertices are (0,±√37)

The foci are (-C,0) and (C ,0)

the focus has x-coordinates so the focus is  lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so C0-vertices are (0,±√37)

The given focus C = ae = √12

Given co-vertices ( minor axis) (0,±b) = (0,±√37)

b= √37

We can therefore express the  relation between the focus and semi major axes and semi minor axes as:

\mathbf{c^2 = a^2 - b^2 } \\ \\ \mathbf{a^2 = c^2 + b^2 } \\ \\ \mathbf{c^2 = ( \sqrt12)^2 - (\sqrt 37)^2 }  \\ \\ \mathbf{c^2 = 49 } \\ \\  \mathbf{c = \sqrt{49 }}

The equation of ellipse formula is:

\dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

and we know that \mathbf{a=\sqrt{49}  \ \  and  \  \ b=\sqrt{37}}

Thus ; the equation of the ellipse at the origin is

\mathbf{\dfrac{x^2}{49^2} +\dfrac{y^2}{37^2} =1}

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4 years ago
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VashaNatasha [74]
There are 12 coins in the bag. For the first case, the probability that a penny is selected from the bag is 5/12 because there are 5 pennies in the bag. Also, the next one is 3/11. Multiplying the probabilities,
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5 0
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