Hello there! The value of x is 20 or -20
"20 or - 20" is one answer so you are supposed to answer 20 or -20, not choose only one.
Step-by-step explanation:
First, we simplify 5² and 4²
Multiply the whole equation by 25 to get rid of the denominator.
Square both sides and solve the equation.
Also don't forget to write "plus or minus" symbol when we are solving a quadratic equation by squaring both sides.
Question:
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?
A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
Answer:
Option B: 0.20 is the probability of the sum of the two integers.
Explanation:
The sample space for selecting 2 numbers is given by
We need to determine the probability that the sum of two integers will be equal to 9.
Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.
Hence, the sets are
Thus, the total number of sets whose sum is equal to 9 = 4
The probability that the sum of the two integers will equal 9 is given by
Thus, the probability that the sum of the two integers will equal 9 is 0.20
Hence, Option B is the correct answer.