Which event has theoretical probability of exactly 1/5 select three options

The spinner is divided into 10 equal sections.

Which event has theoretical probability of exactly 1/5? Select three options.

A) spinning a number less than 3

B) spinning a 4 or 5

C) spinning an odd number

D) spinning a number greater than 8

E) spinning a number less than 8

Options A, B & D are correct

Step-by-step explanation:

From the image attached, we can see that the total number on the spinner is 10.

Now, we want to find which event has theoretical probability of exactly 1/5

Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option B: spinning a 4 or 5 means 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.

Thus, probability = 5/10 = 1/2

This option is wrong.

Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.

Thus, probability = 2/10 = 1/5

This option is correct

Option E: numbers less than 8 are;

1,2,3,4,5,6,7. That's a total of 7 numbers.

Probability = 7/10

Thus, this option is wrong.

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions