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.
Answer:
x = 8, y = 
Step-by-step explanation:
Both 8 and x sides are congruent so they're equal.
Add 64 + 64.
Square root 128
Final answers: x = 8, y =
Step-by-step explanation:
8-3 = 5,
3-5 = -2 = the x coordinate of B
-2-4 =-6,
-2-6 =-8 = the y coordinate of B
(-2,-8) is the point B
A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint
A is 6 up from the midpoint so B is 6 down from the midpoint
Answer:
n=4
Step-by-step explanation:
Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]
Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:
\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]
=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]
=> \[(8-n)*(4-n) =n*(n-4)*3\]
=> \[n-8 =3n\]
=> \[2n =8\]
=> n = 4
The surface area of the hemisphere with radius r = 19 cm. is 3400.62 square centimeters
<h3>How to determine the surface area?</h3>
The radius is given as:
r = 19
The surface area of a hemisphere is:
Area = 3πr²
So, we have:
Area = 3 * 3.14 * 19²
Evaluate
Area = 3400.62
Hence, the surface area of the hemisphere is 3400.62 square centimeters
Read more about surface areas at:
brainly.com/question/6613758
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