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3 years ago

A flipped coin landing heads up and rolling a 5 or 6 on a number cube

1 answer:

8 0

The probability would be 1/6 if the number cube is six-sided and the coin is normal.

First, we will find the probability of the landing on heads with the coin.This would be 1/2 because you have two sides that it could land on and one side you want it to land on.

Next, we will find the probability of getting a five or six with a number cube. This would be 2/6 or 1/3 because there are 6 sides it could land on and two with one of the numbers you want.

Finally, you multiply the two probabilities. 1/3 times 1/2 equals 1/6.

Hope this helps! Have a great day!

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PLEASE HELP ME GUYS OR I WONT PASS this calculus!!!!

KonstantinChe [14]

Answer:

b. $\displaystyle \frac{1}{2}$

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

Calculus

Derivatives

Derivative Notation

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:

Step 1: Define

Identify

$\displaystyle H(x) = \sqrt[3]{F(x)}$

Step 2: Differentiate

Rewrite function [Exponential Rule - Root Rewrite]: $\displaystyle H(x) = [F(x)]^\bigg{\frac{1}{3}}$
Chain Rule: $\displaystyle H'(x) = \frac{d}{dx} \bigg[ [F(x)]^\bigg{\frac{1}{3}} \bigg] \cdot \frac{d}{dx}[F(x)]$
Basic Power Rule: $\displaystyle H'(x) = \frac{1}{3}[F(x)]^\bigg{\frac{1}{3} - 1} \cdot F'(x)$
Simplify: $\displaystyle H'(x) = \frac{F'(x)}{3}[F(x)]^\bigg{\frac{-2}{3}}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle H'(x) = \frac{F'(x)}{3[F(x)]^\bigg{\frac{2}{3}}}$

Step 3: Evaluate

Substitute in x [Derivative]: $\displaystyle H'(5) = \frac{F'(5)}{3[F(5)]^\bigg{\frac{2}{3}}}$
Substitute in function values: $\displaystyle H'(5) = \frac{6}{3(8)^\bigg{\frac{2}{3}}}$
Exponents: $\displaystyle H'(5) = \frac{6}{3(4)}$
Multiply: $\displaystyle H'(5) = \frac{6}{12}$
Simplify: $\displaystyle H'(5) = \frac{1}{2}$

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

Unit: Derivatives

Book: College Calculus 10e

5 0

3 years ago

A discount bookstore sells hardcover books for $12 and paperback books for $6. The number of hardcover books, x, sold one day wa

Thepotemich [5.8K]

Answer: the system of equations that represents this situation are

12x + 6y = 180

x = 2y

Step-by-step explanation:

Let x represent the number of hardcover books that were sold in a day.

Let y represent the number of paperback books that were sold in a day.

The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that

12x + 6y = 180

The number of hardcover books sold that day was twice the number of paperback books. It means that

x = 2y

8 0

3 years ago

Kellie has 3/5 hour left to finish 6 math problems on the test how much time does she have to spend on each problem

seropon [69]

Answer:

6 minutes

Step-by-step explanation:

There are 60 minutes in an hour. This can be broken up into 5 12-minute intervals. From there, you can do 3 intervals of 12 minutes which is 36 minutes. The 36 minutes is divisible by 6 questions getting to 6 minutes per question.

8 0

2 years ago

What is 451 rounded to the nearest hundred?

USPshnik [31]

Answer:

500

Step-by-step explanation:

If the tens digit is 50 or above then you round up to the next hundred but if it is 49 or below you round down to the nearest hundred

3 0

2 years ago

Read 2 more answers

Natasha_Volkova [10]

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x - y = 3

Adding the 2 equations eliminates y:

3x = 6

x = 2.

Substitute for x in the first equation:

2(2) + y = 3

y = 3 - 4

y = -1.

Check the results by substitution in equation 2:

2 - (-1)

= 2 + 1 = 3 .

Checks OK.

6 0

2 years ago

Read 2 more answers