What is the slope of the line that passes through (-1.5, -3)

Mathematics

1 answer:

Hoochie [10]2 years ago

4 0

Answer:

1/2 if it is linear

Step-by-step explanation:

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Suppose that the number of asbestos particles in a sample of 1 squared centimeter of dust is a Poisson random variable with a me

Maslowich

Answer:

The approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357

Step-by-step explanation:

For a sample of 10 sqaured centimeters of dust, the total amount of asbestos particles has a Poisson distribution with a mean of 1000/1 * 10 = 10000.

We will approximate this probability to a normal distribution. The variance is also 10000 (because it is poisson), therefore the standard deviation is √10000 = 100. Lets call X the distribution, and W its standarization, given by

$W = \frac{X-\mu}{\sigma} = \frac{X-10000}{100}$

We have

$P(X>10110) = P(\frac{X-10000}{100} > \frac{10110-10000}{100}) = P(W > 1,1) = 1-\phi(1,1) = 1-0.8643 = 0.1357$

Where $\phi$ is the cummulative distribution function of a standard normal distribution. The values of $\phi$ are well known and they can be found in the attached file.

We conclude that the approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357.

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4 0

3 years ago

Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution

nordsb [41]

All the given equations have 2 real solutions except for equation 4 which has only one real root.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

$y = 12x^2 - 9x+ 4$