All categories

3 years ago

A spinner divided into four equal parts, A, B, C, and D, is spun, then is followed by a roll of a standard six-sided die.

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Answer: 24

<u>Step-by-step explanation:</u>

Total Possible Outcomes given A, B, C, D and 1, 2, 3, 4, 5, 6

= 4 x 6

= 24

*******************************************************************************

Answer: 3

<u>Step-by-step explanation:</u>

Total outcomes for an A and and odd number

= A and (1 or 3 or 5)

= 1 x 3

= 3

*******************************************************************************

Answer: $\bold{\dfrac{1}{4,}\qquad \dfrac{1}{2,}\qquad \dfrac{1}{8}}$

<u>Step-by-step explanation:</u>

Probability of an A out of A, B, C, D is: $\dfrac{1}{4}$

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

Probability of an A and an odd is: $\dfrac{1}{4}\times\dfrac{1}{2}=\dfrac{1}{8}$

*******************************************************************************

Answer: $\bold{\dfrac{1}{2}}$

<u>Step-by-step explanation:</u>

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: $\dfrac{3}{6}=\dfrac{1}{2}$

*******************************************************************************

Answer: $\bold{\dfrac{3}{4}}$

<u>Step-by-step explanation:</u>

Probability of an A or an odd is: $\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}$

You might be interested in

Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f

masya89 [10]

Answer:

$A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative$

Step-by-step explanation:

Given a function $f(x)$ , we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value " $x_1$ " to another " $x_2$ ".

The rate of change of $f(x)$ between $x_1$ and $x_2$ can be calculated as follows:

$Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)$

For:

$f(x)=x^2-2x+4$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7$

So:

$Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative$

And for:

$f(x)-3x+2$

Let's find $f(x_1)$ and $f(x_2)$ , where:

$[x_1,x_2]=[-4,3]$

$f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7$

So:

$Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative$

<em>Translation:</em>

Dada una función $f(x)$ , llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor " $x_1$ " a otro " $x_2$ ".

La tasa de variación de $f(x)$ entre $x_1$ y $x_2$ , puede ser calculada de la siguiente forma:

$Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)$