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3 years ago

If a standard die is rolled twice, what is the probability that it lands on a

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

1/9 or 11.11%

Step-by-step explanation:

On a standard die, there are two numbers greater than 4, 5 and 6. 5 and 6 make up 2/6 of a die, or 1/3. So the probability of getting 5 or 6 once is 1/3 then to find the probability of doing it twice in a row, multiply 1/3 by 1/3( its the same number because there is no innate difference in the rolls). 1/3*1/3=1/9.

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Add or subtract them in simplest form please help me as fast as possible

NARA [144]

Answer:

Okay so im seeing you need help okay I will tell you how to do number 21 as an example

Step-by-step explanation:

Look for a commen donominater of the 3/8 and 1/3 the denominater would be 24 so 8 times 3 and 3 times 3 so those would be 9/24 and 3/24 , do the 8 plus the ten and you get 18 so 18+ 9/24+3/24= 18 12/24, or 18 1/2

8 0

3 years ago

I need help people help me

sineoko [7]

Answer:

Step-by-step explanation:

all the angles of a triangle out of 180 so subtract the two numbers you have from 180

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2 years ago

Read 2 more answers

PLSS HELP ME!!! question 3x - 4/5= - 1/2 what is the value of x?

Minchanka [31]

Answer:

x = $\frac{1}{10}$

Step-by-step explanation:

Given

3x - $\frac{4}{5}$ = - $\frac{1}{2}$

Multiply through by 10, the lcm of 5 and 2 to clear the fractions

30x - 8 = - 5 ( add 8 to both sides )

30x = 3 ( divide both sides by 30 )

x = $\frac{3}{30}$ = $\frac{1}{10}$

7 0

3 years ago

What is the value of a?

Luda [366]

Answer:

a = 62

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

a + 47+71 = 180

Combine like terms

a +118 = 180

Subtract 118 from each side

a+118-118=180-118

a =62

7 0

3 years ago

Hello again! This is another Calculus question to be explained.

podryga [215]

Answer:

See explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notation

Exponential Property [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Property [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

We are given the following and are trying to find the second derivative at x = 2:

$\displaystyle f(2) = 2$

$\displaystyle \frac{dy}{dx} = 6\sqrt{x^2 + 3y^2}$

We can differentiate the 1st derivative to obtain the 2nd derivative. Let's start by rewriting the 1st derivative:

$\displaystyle \frac{dy}{dx} = 6(x^2 + 3y^2)^\big{\frac{1}{2}}$

When we differentiate this, we must follow the Chain Rule: $\displaystyle \frac{d^2y}{dx^2} = \frac{d}{dx} \Big[ 6(x^2 + 3y^2)^\big{\frac{1}{2}} \Big] \cdot \frac{d}{dx} \Big[ (x^2 + 3y^2) \Big]$

Use the Basic Power Rule:

$\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} (2x + 6yy')$

We know that y' is the notation for the 1st derivative. Substitute in the 1st derivative equation:

$\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 6y(6\sqrt{x^2 + 3y^2}) \big]$

Simplifying it, we have:

$\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]$

We can rewrite the 2nd derivative using exponential rules:

$\displaystyle \frac{d^2y}{dx^2} = \frac{3\big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]}{\sqrt{x^2 + 3y^2}}$

To evaluate the 2nd derivative at x = 2, simply substitute in x = 2 and the value f(2) = 2 into it:

$\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = \frac{3\big[ 2(2) + 36(2)\sqrt{2^2 + 3(2)^2} \big]}{\sqrt{2^2 + 3(2)^2}}$

When we evaluate this using order of operations, we should obtain our answer:

$\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = 219$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

5 0

2 years ago