In a class of 25 students, 15 of them have a driver's license. If ten students are randomly selected, what is the expected number of students that would have a driver's license?
Answers
Answer:
Expected number of students would have a driver's license = 6
Step-by-step explanation:
Explanation:-
Given data In a class of 25 students, 15 of them have a driver's license
The sample proportion
Let 'X' be the binomial distribution
Given sample size 'n' = 10
mean of the binomial distribution or expected number of students would have a driver's license
μ = n p
= 10 × 0.6
= 6
Conclusion:-
Expected number of students would have a driver's license = 6
Related Questions
the sun's average surface temperature is 5780 k, while earth's average surface temperature is 288 k. how many times warmer, on average, is the sun's surface than earth's surface? use the equation below and round your answer to the nearest whole number.
If an 8 pound bag of rice cost $9.60 , what is the cost of 1 pound of rice ?
Add and simplify 9/16 + 1/2= ?
An art gallery has 9 paintings to display along a hallway. How many different ways can they choose and display 6 of the paintings?
1
2
3
0
Answers
Answer:
The number of solutions of the system is 0
Step-by-step explanation:
we know that
When solving a system of equations by graphing, the solution of the system is equal to the intersection point both graphs.
In this problem the graphs do not intersect
therefore
The number of solutions of the system is 0
Answers
x as the length of the pen
y as the width of the pen
The area is
xy = 2000
The perimeter is
P = 2(x+y)
From the area
y = 2000/x
Substituting
P = 2(x + 2000/x)
which is the equation used to find the least amount of fencing possible.
Final answer:
To get the minimum amount of fencing, the farmer should use the equation P = x + 2*(2000/x), representing the total fence length, where x is the length of the fence parallel to the river, and solve this to find the minimum.
Explanation:
The problem involves resolving a mathematical problem using functions in optimization. The farmer's goal is to minimize the fencing used which means minimizing the perimeter of the pen. Considering that one side of the pen will be a river, we are essentially looking for the dimensions of a rectangle (with one side along the river) which uses the least amount of fencing. Let's say the length of the fence parallel to the river is x, and the length of the fence perpendicular to the river is y.
Since area (A) is given by A = x*y, which must be 2,000 m2, we can rewrite y equation in terms of x as y = 2,000/x. The total fence length (perimeter, P) is calculated as P = x + 2y and substituting the new equation for y, we get P = x + 2*(2000/x), which is the function that the farmer needs to optimize in order to use the least amount of fencing.
Learn more about Optimization here:
#SPJ12
Answers
Then you know that 4/9 are red and 5/9 are yellow.
a) 4/9
b) 5/9
Answers
Answer:
40%
Step-by-step explanation:
using the box method,
multiply 9 × 100
= 900 and divide 900 by 15
900 ÷ 15 = 60%
60% is the amount of pitches he hit
100% - 60% = 40%
he missed 40%
Answer:
5%
Step-by-step explanation:
The smaller square is x on every side.
Answers
Big square: side length = x + 3
Small square: side length = x
Area of a square = a² where a represents the side length.
Area of big square = (x+3)²
A = (x+3)(x+3)
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9
Area of small square = x²
Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9
Answers
F(X) = 3x+5/7
Y = 3x+5/7
X = 3y+5/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
7x-5/3 = 3y/3
7x-5/3 = y
Y = 7x-5/3
F(x) = 7x-5/3.