Answer:
68 students
Step-by-step explanation:
Number of men who major in business in the university= 0.43*8253=3548.79
Rounding off we have 3549 students
Number of women who major in business in the university= 0.27*10327=2788.29
Approximately 2789 students
Total students who major in Business= 3549+2789=6338 students
Total students in school= 8253+10327=18580
Probability of getting business major= 6338/18580
Out of 200 students, we expect

Approximately 68 students will be majoring in business
Answer:
<em>32ft³</em>
Step-by-step explanation:
Let the shape of the locker be cubic in nature.
Volume of a cube = L³
L is the side length of one of the lockers
Volume of four lockers = 4L³
If one side of the locker is 2feet long, then L = 2ft
Substitute into the formula;
Volume of four lockers = 4(2)³
Volume of four lockers = 4(8)
Volume of four lockers = 32ft³
<em>Hence the total volume of all four lockers is 32ft³</em>
Answer:
62
Step-by-step explanation:
68+50+62= 180
all triangles must add up to 180
In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
= 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
= 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
= 36 minutes.
The couple will rest for 36 minutes in 8 hours.
Answer:
-x^2 - 20x -4 = 0
Step-by-step explanation:
I assume you meant (x-8)(2x+3) = (3x-5)(x+4).
Perform the two indicated multiplications and then combine like terms:
2x^2 + 3x - 16x - 24 = 3x^2 + 12x - 5x - 20
Combine the x terms on each side:
2x^2 - 13x - 24 = 3x^2 + 7x - 20
Subtract 3x^2 from both sides:
-x^2 - 13x - 24 = 7x - 20
Subtract 7x from both sides:
-x^2 - 20x - 24 = -20
Add 20 to both sides:
-x^2 - 20x -4 = 0 This is the desired quadratic equation.