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3 years ago

Y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

Answer:

Step-by-step explanation:

formula for inverse proportion is y = $\frac{k}{x}$

k is the constant of probability

to find k,

y is 12, x is 6

12 = $\frac{k}{6}$

so x = 12 × 6

∴ k is 72

so y = $\frac{72}{8}$

∴ y is 9

KIM [24]3 years ago

7 0

Y = 16____________gg

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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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3 years ago

A carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cube

navik [9.2K]

The dimensions of the carton are:

10 x 10 x 10 [inch OR unit cubes - it's the same since cubes' dimensions are 1 x 1 x 1 inch)

I attach the explanation below.

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3 years ago

All properties that squares and rectangles have in common?

Neko [114]

no squares all sides are are equal and rectangle opposite side are equal

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3 years ago

Read 2 more answers

Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.

maksim [4K]

Answer:

$d = \dfrac{3}{16}$

Step-by-step explanation:

c varies jointly with d and the square of g

$c\propto dg^2$

$c=kdg^2$

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

$30=k\cdot 15\cdot 2^2$

$k=\dfrac{1}{2}$

$c=\dfrac{1}{2}kg^2$

If c = 6 and g = 8 then d = ?

$6=\dfrac{1}{2}\cdot d\cdot 8^2$

$d=\dfrac{6\cdot 2}{8^2}$

$d=\dfrac{3}{16}$

Hence, The value of d is $\dfrac{3}{16}$

5 0

3 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$

$P(20 \leq x \leq 30) =99.84\%$

5 0

4 years ago