Step-by-step explanation:
a = 2
b = 1
c = 4
<h2>Question:</h2>

= Solution ,
= 3 × 2 × 4 - 2 + 2 × 1
= 24 - 2 + 2
= 24 + 2 - 2
= 26 - 2
= 24
hence the answer is 24....
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.
<u>Shorter term class:</u>
You pay $200 for 54 classes in total. So,
dollars per class (rounded to 3 decimal places)
<u>Longer term class:</u>
You pay $350 for 108 classes in total, So,
dollars per class (rounded to 3 decimal places)
Hence, by taking longer term classes, you save around
dollars.
Rounding to 2 decimal places, you save $0.46 per class.
ANSWER: You save $0.46 per class.
Answer:
square root of 2, pi, square root of 5, square root of 10, square root of 3, square root of 15
Step-by-step explanation:
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.