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3 years ago

PLS HELP ASAP I WILL GIVE BRAINLIST

Mathematics

1 answer:

andriy [413]3 years ago

5 0

Answer:

Step-by-step explanation:

1. $4^{0} + 2 \times 3 - 2 = 1 + 6 - 2 = 5$ (Answer)

{As we know that $a^{0} = 1$ for a ≠ 0}

2. $2^{2} + 10 - 3 \times 2 = 4 + 10 - 6 = 8$ (Answer)

{We know, $a^{2} = a \times a$ }

3. $9 + 3^{2} - 1 \times 4 = 9 + 9 - 4 = 14$ (Answer)

Note: When there is no brackets, we perform the operation of '×' and '÷' first and then we perform the operation of '+' or '-'

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3 years ago

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Rina8888 [55]

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2 years ago

chegg Y=4X−2 XX has a PDF of f_X(x)=\begin{cases} 3e^{-3x} & 0 \leq x \\ 0 & \text{otherwise}\end{cases}f X (x)={ 3e −

Licemer1 [7]

$\Bbb E[Y^2] = \Bbb E[(4X - 2)^2]$

so by definition of expectation,

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Integrate by parts (twice).

$\displaystyle \int_a^b u\,dv = uv\bigg|_a^b - \int_a^b v\,du$

First, let

$u = (4x-2)^2 \implies du = 8(4x-2)\,dx \\\\ dv = 3e^{-3x} \, dx \implies v = -e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = -(4x-2)^2 e^{-3x} \bigg|_{x=0}^{x\to\infty} + 8 \int_0^\infty (4x-2) e^{-3x} \, dx \\\\ ~~~~ = 4 + 8 \int_0^\infty (4x-2) e^{-3x} \, dx$

Next,

$u = 4x-2 \implies du = 4\,dx \\\\ dv = e^{-3x} \, dx \implies v = -\dfrac13 e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = 4 + 8 \left(-\frac13 (4x-2) e^{-3x} \bigg|_{x=0}^{x\to\infty} + \frac43 \int_0^\infty e^{-3x} \, dx\right) \\\\ ~~~~ = 4 + 8 \left(-\frac23 - \frac49 e^{-3x}\bigg|_{x=0}^{x\to\infty}\right) \\\\ ~~~~ = 4 - \frac{16}3 + \frac{32}9 = \boxed{\frac{20}9}$

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2 years ago

Solve 4x + 11 = k for x.

steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0

3 years ago

758 rounded to the nearest hundred is

andrew11 [14]

758 rounded to the nearest hundred would be 800 because the five would round the seven up.

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4 years ago

Read 2 more answers