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telo118 [61]
3 years ago
12

Y is inversely proportional to the cube of x. If Y = 3 when x = 2, find Y, when x is 3. Write a proportion. Solve for y. Show wo

rk.
Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.

So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k

So k = 3/8

Now we can solve for Y when x = 3

Y = (3/8)3³ = (3/8)27 = 81 / 8

Final answer: 81 / 8
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Stells [14]

Answer:

x=27

Step-by-step explanation:

Triangle angle =180 degrees

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180=6x+18

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3 0
3 years ago
A population of values has a normal distribution with μ = 155.4 and σ = 49.5 . You intend to draw a random sample of size n = 24
xz_007 [3.2K]

Answer:

(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

P(158.6 < X

*Use a standard normal table.

Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b)

A sample of <em>n</em> = 246 is selected.

Compute the probability that a sample mean is between 158.6 and 159.2 as follows:

P(158.6 < \bar X

*Use a standard normal table.

Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

4 0
3 years ago
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I need help finding out what AC is!!
iragen [17]
I think it’s b.5. Hope this helps. :)
5 0
4 years ago
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find the distance of CD if the coordinates of C are (-4,11) and D are ( -3,4) Express your answer in simplest radical form.
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Step-by-step explanation:

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2 years ago
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