3 years ago

Multiply (3w^2-4w+7)(5w+2) Simply the answer

Mathematics

1 answer:

Blizzard [7]3 years ago

6 0

Answer:

− 3 w 2 − 9 w − 4

Step-by-step explanation:

Subtract 6 w 2 from 3 w 2 − 3 w 2 − 5 w − 6 -4 w + 2 Subtract 4 w from − 5 w .− 3 w 2 − 9 w − 6 + 2 Add − 6 add 2 . -3 w 2− 9 w− 4

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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

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