The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer: The probability of selecting at least one boy (the probability that the 2 students selected are not both girls) is 62/95 or 0.6526
Step-by-step explanation:
From the question, the students to be chosen must be selected from a group of eight boys and twelve girls. This means that the total number of students that these two students must be chosen from is:
8 + 12 = 20 students.
The next step would be to find the probability of selecting a boy:
= Total number of boys/Total number of students
= 8/20
We will also find the probability of selecting one girl from the group
= Total number of girls/Total number of students
= 12/20
To find the probability that the two selected students are not girls is the same as finding the probability of selecting at least one boy. To do this, we will first find the probability of choosing all girls and then subtract it from 1.
The probability of selecting or choosing 2 girls (without replacement)
(12/20) × (11/19)
= 132/380
= 33/95
Then, the probability of selecting at least one boy (the probability that the students chosen are not both girls)
= 1 - (33/95)
= (95/95) - (33/95)
= 62/95 or 0.6526
Find the negative reciprocal of the given line's slope in order to determine what the slope of the line will be.
-2/5 -> -5/2 -> 5/2
Your line now looks like this: y = 5/2x + b
Now, substitute the given point into the y and x variables and solve for b.
y = 5/2x + b
-3 = 5/2(2) + b
-3 = 5 + b
-8 = b
You are now done. The line is y = 5/2x - 8.
