3. A number from 1 to 10 is chosen at random. What is the probability of choosing a 4 or an odd number?

60%

Step-by-step explanation:

There are 5 odd numbers between 1 and 10. Therefore, the ratio of odd numbers to all whole numbers between 1 and 10 is 5:10. However, the problem also mentions 4. Since 4 is one whole number, we can add it to the left side of the ratio. The ratio of odd numbers or 4 to all whole numbers between 1 and 10 is 6:10. To convert to a percentage, multiply each side by 10. We get 60:100, or 60 out of 100, which is written as 60%. Therefore, the probability of choosing a 4 or an odd number is 60%.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: