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3 years ago

Does anyone know the answer? I'm kind of lost. We just started learning this.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

Answer:

Step-by-step explanation:

(x+z)

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x=6 and z =3

Substitute these numbers in for the variables

(6+3)

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Find the distance d (p1,p2)between the points p1 and p2<br> P1=(3,-5);p2=(5,-1)

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3 years ago

The thickness X of aluminum sheets is distributed according to the probability density function f(x) = 450 (x2 - x) if 6 < x

grandymaker [24]

Solution :

Given :

$f(x) = \left\{\begin{matrix}\frac{1}{450}(x^2-x) & \text{if } 6 < x < 12 \\ 0 & \text{otherwise}\end{matrix}\right.$

1. Cumulative distribution function

$P(X \leq x) = \int_{- \infty}^x f(x) \ dx$

$=\int_{- \infty}^6 f(x) dx + \int_{6}^x f(x) dx$

$=0+\int_6^x \frac{1}{450}(x^2-x) \ dx$

$=\frac{1}{450} \int_6^x (x^2-x) \ dx$

$=\frac{1}{450}\left[\frac{x^3}{3}-\frac{x^2}{2}\right]_6^x$

$=\frac{1}{450}\left[ \left( \frac{x^3}{3} - \frac{x^2}{2}\left) - \left( \frac{6^3}{3} - \frac{6^2}{2} \right) \right]$

$=\frac{1}{450}\left[\frac{x^3}{3} - \frac{x^2}{2} - 54 \right]$

2. Mean $E(x) = \int_{- \infty}^{\infty} \ x \ f(x) \ dx$

$=\int_{6}^{12}x . \left( \frac{1}{450} \ (x^2-x)\right)\ dx$

$=\frac{1}{450} \int_6^{12} \ (x^3 - x^2) \ dx$

$=\frac{1}{450} \left[\frac{x^4}{4} - \frac{x^3}{3} \right]_6^{12} \ dx$

$=\frac{1}{450} \left[ \left(\frac{(12)^4}{4} - \frac{(12)^3}{3} \right) - \left(\frac{(6)^4}{4} - \frac{(6)^3}{3} \right)$

$=\frac{1}{450} [4608 - 252]$

= 17.2857

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3 years ago

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ArbitrLikvidat [17]

Answer: B) type II error

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The level of significance (α) usually takes the lower percentage of the area of distribution.

When you reject the null hypothesis instead of accepting it, you commit a type I error, the probability of committing this error is the level of significance (α).

When you accept the null hypothesis when you are suppose to reject it, you commit a type II error and the probability of committing this error is confidence level (β) which is (1- α)

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3 years ago

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VMariaS [17]

Answer:

Step-by-step explanation:

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3 years ago

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Rus_ich [418]

Answer:

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3 years ago