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Tatiana [17]
2 years ago
13

An instructor who taught two sections of engineering probability last term, the first with 20 students and thesecond with 30, de

cided to assign a term project. After all projects had been turned in, the instructor randomlyordered them before grading. Consider the first 15 graded projects. What is the probability that exactly 10 ofthese are from the second section
Mathematics
1 answer:
Oliga [24]2 years ago
7 0

Answer:

0.207

Step-by-step explanation:

This is an hypergeometric distribution problem

An hypergeometric distribution has the same sense as the discrete probabilities of binomial distribution, but unlike binomial distribution, hypergeometric distribution does not allow replacement.

Binomial distribution expresses the probability of picking k objects from n with replacement, but hypergeometric distribution expresses picking k objects from n without replacement, with the finite total population, N, containing K objects.

It is expressed mathematically as

h(k: n, K, N) = (ᴷCₖ)(ᴺ⁻ᴷCₙ₋ₖ)/(ᴺCₙ)

where

k = number of students in the 2nd section required to be in the first 15 graded projects (number of successes) = 10

n = total number of first graded projects (number of trials) = 15

K = number of students in the 2nd section of the class = 30

N = total number of students = 50

h(10: 15, 30, 50) = (³⁰C₁₀)(⁵⁰⁻³⁰C₁₅₋₁₀)/(⁵⁰C₁₅)

h(10: 15, 30, 50) = (³⁰C₁₀)(²⁰C₅)/(⁵⁰C₁₅)

= (30,045,015)(15,504)/(2,250,829,575,120)

P(X = 10) = 0.207

Hope this Helps!!!

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Algebra I<br> Evaluate each function. h ( n ) = 2 n − 5 ; Find h ( 2 )
slavikrds [6]

Answer:

h ( 2 ) = - 1

Step-by-step explanation:

<u>Two-Variable Functions</u>

A function expresses the relation between two variables in such a way that for each input for the independent variable n, there one and only one value for the function h(n). If it's explicitly given as an equation, then we can use values for n as we wish, and compute the different values of h(n).

The question provides the following function

h ( n ) = 2 n - 5

We are required to find h(2), which can be computed by replacing n by the value of 2

h ( 2 ) = 2 (2) - 5

h ( 2 ) = 4 - 5

h ( 2 ) = - 1

5 0
3 years ago
11..
lozanna [386]

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

4 0
3 years ago
Please help me thank you
S_A_V [24]
Question 1:

We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.

Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.

30 \sqrt{2} \approx 42

Your answer is the second choice.

Question 2:

The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.

\dfrac{15}{ \sqrt{3} }=\dfrac{15 \sqrt{3} }{3}=5 \sqrt{3}

The full side length is double of that, which is 10 \sqrt {3}.

Multiply that by 3 to get the full perimeter.
10 \sqrt{3}*3=30 \sqrt{3}

Your answer is the third choice. Hope this helps! :)
5 0
3 years ago
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uysha [10]

Answer:

B) y = x - 50

Step-by-step explanation:

It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x <u>- 50</u>. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.

7 0
2 years ago
What is 2x + 3y = 3 in slope-intercept form?
Elza [17]

Answer:

y= -2/3x + 1

Step-by-step explanation:

8 0
2 years ago
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