20¾ in decimal form fvvvvvvvvvvvvvvvvvvvvvvv

If a standard 6 sided dice is rolled. (Write your answers as a decimal, rounded to the nearest hundredth.) Find: a. Probability

pshichka [43]

Answer:

see below

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

P( a prime number and a multiple of two)

The only prime number that is a multiple of 2 is 2

P( a prime number and a multiple of two) = number of outcomes / total outcomes

P( a prime number and a multiple of two) = 1/6 = .17

P(3 or a prime number)

The prime numbers are 2,3,5 and 3 is included in this list so we have 3 outcomes

P( 3 or a prime number) = number of outcomes / total outcomes

P( 3 or a prime number) =3/6 =1/2= .5

P(3 U Multiple of 2)

Multiples of 2 are 2,4,6 and add 3 to the list so there are 4 outcomes

P( 3 U Multiple of 2) = number of outcomes / total outcomes

P( 3 or a prime number) =4/6 =2/3= .67

P(2 U Even number)

even numbers are 2,4,6 and 2 is on the list so there are 3 outcomes

P( 2 U Even number) = number of outcomes / total outcomes

P( 3 or a prime number) =3/6 =1/2= .5

4 0

3 years ago

Does the graph of f (x) = -(x+6)2 have a maximum or a minimum?

Flura [38]

Answer:

the quadratic function has a maximum as it is opened downwards.

Step-by-step explanation:

pls mark brainliest if you could! hope this helped!

5 0

3 years ago

(x+3)(x+2) can some one help with this one please (factoring trinomials)

Licemer1 [7]

Make it a trinomial by using the FOIL method.
First
Inside
Outside
Last

5 0

3 years ago

What are two solutions of 3 + 4 |x/2 + 3| = 11?

Alex

3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10

Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

3 0

3 years ago

2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

Ira Lisetskai [31]

Solution: The factor form of the given polynomial is $f(x)=(x+4)(x+3)(x+2)(x+1)$ .

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for $x=-1$ , therefore $(x+1)$ is a factor of given function.

Use synthetic method to divide the given polynomial for by $(x+1)$ . Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So $f(x)=(x+1)(x^3+9x^2+26x+24)$

Similarly $(x+2)$ is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by $(x+2)$ . it is shown in figure 2.

So

$f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)$

Hence the factor form of the given polynomial is $f(x)=(x+4)(x+3)(x+2)(x+1)$ . The graph of the given function is given in figure 3.

4 0

3 years ago