Answer:
<u>The correct answer is 5/24 or 0.21</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Science class in seventh grade = 4 girls and 4 boys
Science class in eighth grade = 5 girls and 7 boys
2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?
These are independent events, therefore:
Probability of two independent events = Probability of A * Probability of B
Probability of both students selected for the competition are girls = 4/8 * 5/12
Probability of both students selected for the competition are girls = 20/96 = 5/24
<u>The correct answer is 5/24 or 0.21</u>
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.</span>
Answer:
your numbers are -5 and 9, since 9 * -5 = -45 but 9 + (-5) = 9 - 5 = 4
#1.
[4x = -12y + 16 and x + 3y = 4]
One answer
#2.
Here, y = 4x + 3
y - 4x = 3
Multiply by 2,
2y - 8x = 6
Compare with second equation,
6 ≠ 3
In short, System of Equation does not have any solution. [ Option D ]
#3.
2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12
Therefore there is only one solution: x=12 y=3
#4.
y - 7x = -14
7y - 49x = -2
Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.
y = 7x - 14
7(7x - 14) - 49x = -2
49x - 98 - 49x = -2
-98 = -2
Since the variables cancel and the equation is not true there is no solution.
The lines are parallel and will not intersect.
The slope of the line is 4/3. It is already written as an improper fraction. It can’t be written as a proper fraction, as it will always be over the limit, making it improper. And it can’t be a integer, since it’s not a whole number. Leave it as 4/3. :)
Hope this helps!!
(I’m really sorry if I’m wrong.)