The numbers 2, 3, 4, and 5 are indicated on cards that are placed in a hat.Two cards are drawn at random, and the first card is replaced before the second card is drawn. The following table is a sample space of the possible outcomes.
Use the sample space of possible outcomes to determine the following probabilities.
1. Probability of drawing two odd numbers.
2. The sum of the two numbers drawn is less than 5.
3. The sum of the two numbers is less than 6 or greater than 8.

Answers

Answer 1

Answer: 1. This probability is 1/2*1/2=1/4, or 0.25.
2. There are three ways to do this: draw two 2s, a three then a two, or a two then a three. So our probability is 3/16=.1875.
3. We already calculated the probability that the sum is less than 6. Using similar methods, we calculate that there are three ways for a sum to be greater than 8, so our probability is 6/16=0.375.

Answer 2

Answer:

Answer:

1. 1/4

2. 1/16

3. 3/8

Step-by-step explanation:

1. 1/2 x 1/2, 1/4

2. (2,2) is the only way to have a sum less than 5, so 1/16

3. 3 ways to be less than 6 and 3 ways to be greater than 8, so 6/16 or 3/8

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Use the equation and type the ordered-pairs.y = 2 x

{(-1,
a0), (0,
a1), (1,
a2), (2,
a3), (3,
a4), (4,
a5)}
thanks in advance :)

Answers

$\begin{array}{c|c|c}\underline{\quad (x,y)\quad}&\underline{\quad y=2x\quad }&\underline{\quad Answer\quad }\n(-1, a_o)&a_o=2(-1)&a_o=-2\n(0, a_1)&a_1=2(0)&a_1=0\n(1, a_2)&a_2=2(1)&a_2=2\n(2, a_3)&a_3=2(2)&a_3=4\n(3, a_4)&a_4=2(3)&a_4=6\n(4, a_5)&a_5=2(4)&a_5=8\end{array}$

M+ m + nm; use m = 6, and n = 4

Answers

Answer:

Step-by-step explanation:

6+6+(4)(6)

12+24

Answer:

Step-by-step explanation:

Insert the given values:

$(6)+(6)+(4)(6)$

Simplify multiplication:

$6+6+24$

Simplify addition:

$12+24\n\n36$

:Done

How many inches are in 13 and a half feet

Answers

The best way to work this is out, is to find out how many inches there are in a foot, and half a foot. One foot is equal to 12 inches, and half a foot is equal to 6 inches. It's best to find the whole numbers first. The best way to do this is to simply multiply the length (12in) by the feet (13), 13x12= 156 inches.
You've then got half a foot, which is six inches, so you then have to add this to the 156, giving you 162.
In thirteen and a half feet, there are 162 inches,
Hope this helps :)

Which property is BEST to use when simplifying (0.58+0.32)+ 0.68

Answers

i don’t know but i hope u find the answer

4(3x 5)=-4

Solve for x and show work

Answers

Answer:

x = -2 if its 4(3x + 5) = -4

x = 4/3 if its 4(3x - 5) = -4

Step-by-step explanation:

Your missing an plus or minus sign.

4(3x + 5) = -4 / multiply contents of parentheses by 4

12x + 20 = -4 / subtract 20 from both sides

12x = -24 / divide both sides by 12

x = -2

4(3x - 5) = -4 / multiply contents of parentheses by 4

12x - 20 = -4 / add 20 to both sides

12x = 16 / divide both sides by 12

x = 16/12 / simplify

x = 4/3

Answer: -2

Step-by-step explanation:

To solve the equation 4(3x + 5) = -4, we need to follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses.

This gives us 12x + 20 = -4.

Step 2: Subtract 20 from both sides of the equation to isolate the variable term.

We get 12x = -4 - 20, which simplifies to 12x = -24.

Step 3: Divide both sides of the equation by 12 to solve for x.

Dividing both sides by 12 gives us x = -24/12, which simplifies to x = -2.

So, the solution to the equation 4(3x + 5) = -4 is x = -2.

Problem 3. if f(x) = /2x-5 and g(x) = 5x? -- 3, find (gºf)(x).(Step by step please<3)

Answers

(1)f(x) = x² - 4x + 2, g(x) = 3x - 7

(f o g) (x) = f(g(x)) = f (3x - 7)

= (3x - 7)² - 4(3x - 7) + 2

= (9x² - 42x + 49) + (-12x + 28) + 2

= 9x² - 57x + 79

(2)g(x) = -6x + 5, h(x) = -9x - 11

(g o h) (x) = g(h(x)) = g (-9x - 11)

= -6(-9x - 11) + 5

= 54x + 66 + 5

= 54x + 71

(3)f(x) = √(2x - 5), g(x) = 5x² - 3

(g o f) (x) = g(f(x)) = g(√(2x - 5))

= 5 (√(2x - 5))² - 3

= 5 (2x - 5) - 3

= 10x - 25 - 3

= 10x - 28

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