Answer:
4 ft
7.2 ft
20 ft
Step-by-step explanation:
When the balloon is shot, x = 0.
y = -0.05(0)² + 0.8(0) + 4
y = 4
The balloon reaches the highest point at the vertex of the parabola.
x = -b / 2a
x = -0.8 / (2 × -0.05)
x = 8
y = -0.05(8)² + 0.8(8) + 4
y = 7.2
When the balloon lands, y = 0.
0 = -0.05x² + 0.8x + 4
0 = x² − 16x − 80
0 = (x + 4) (x − 20)
x = -4 or 20
Since x > 0, x = 20.
Answer: Our required probability is 0.1695.
Step-by-step explanation:
Since we have given that
Number of male applicants = 4200
Number of female applicants = 3800
So, total number of applicants = 4200+3800 = 8000
Probability of male entered and subsequently enrolled is given by

Probability of female entered and subsequently enrolled is given by

Number of male entered and subsequently enrolled is given by

Number of female entered and subsequently enrolled is given by

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

Hence, our required probability is 0.1695.
Answer:
68.1 units²
Step-by-step explanation:
Start by finding the area of the rectangle...

Then, find the area of the semicircle...


Now, add the two to get...
54+14.1=68.1
Answer:
4(30 +1)= 4(30) + 4(1)
Step-by-step explanation:
The property states a(b+c)= ab+ac.
30 and 1 equals 31, then you just plug the two numbers into the equation.