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.
I am assuming you meant y=sin(x) from 0 to 2pi? Remember that the maximum and minimum points on the sine graph will occur 1/4 and 3/4 through the cycle, or period and the zeros occur at the beginning, middle and end. So you want to find the distance 1/4 of the way to 2pi and 3/4 of the way to 2pi.
With this information, you can easily calculate your answer:)
Applying the law of sines, the measurement indicated are:
7. AB = 24.1 cm
8. BC = 28.0 in.
<h3>What is the Law of Sines?</h3>
Law of sines is: sin A/a = sin B/b = sin C/c.
7. AB (c) = ?
BC (a) = 22 cm
A = 180 - 138 - 22 = 20°
C = 22°
Apply the law of sines:
sin 22/AB = sin 20/22
AB = (sin 22 × 22)/sin 20
AB = 24.1 cm
8. BC (a) = ?
A = 58°
AC (b) = 33 in.
B = 180 - 58 - 33 = 89°
Apply the law of sines:
sin 58/BC = sin 89/33
BC = (sin 58 × 33)/sin 89
BC = 28.0 in.
Learn more about the law of sines on:
brainly.com/question/2807639
#SPJ1
32/4 is 8, so we know that the lengths of the sides are 8 feet.
Because of this
<u>I can safely say that the diagonal of the square is 8√2 feet long</u>.
Here's my proof: