The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
Answer:
Below
Step-by-step explanation:
First I found the area of the portion that extends off (if that makes sense??)
It is a triangle, so use A = bh/2
A = (2)(6) / 2
= 6 cm^2
Next I found the area of the rectangle using A = LW
A = (6)(3)
= 18 cm^2
Total area = 18 + 6
= 24 cm^2
Hope this helps! Best of luck <3
Answer:
Volume of the cylinder = 602.88 square centimeters
Step-by-step explanation:
Given that:
Radius of cylinder = 4 cm
Height of cylinder = 12 cm
Volume of a cylinder is given by the following formula;
Volume = πr²h
Putting π = 3.14, r = 4 and h = 12 in the formula
Volume = 3.14 * (4)² * 12
Volume = 3.14 * 16 * 12
Volume = 602.88 square centimeters
Hence,
Volume of the cylinder = 602.88 square centimeters
The function that the naval engineer uses related P (pressure) and d (depth of ocean).
<em>Is there any restriction on the domain ( d: depth of the ocean)? Yes!</em>
The domain would be from 0 (at sea level or 0 depth) until the depth of the ocean (which is not infinite). Hence, we can write:
Choice D is the correct one.
ANSWER: D
