7 2/3<br> 16 3/5<br> + 8 1/2<br> _____

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.

The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.

The random variable <em>X</em> follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t

Solnce55 [7]

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

4 0

3 years ago

Read 2 more answers

If the first equation in a linear system is 4x - 2y = -2 what would the second equation have to be for the system to have infini

alekssr [168]

Answer:

<h3>The question, </h3>

,

<h3>Let me explain, </h3>

<h3>For infinity many solutions </h3>

They must be parallel to each other,

For instance,

If 4x - 2y = - 2 is the equation then,

<h3>Another equation be 4x - 2y +k = </h3>

Where k can be any numerical value.

<h3 />

7 0

2 years ago

A movie theater sells popcorn in a cylindrical containers. A large popcorn container is 8 inches high and has a radius of 3 inch

grandymaker [24]

Answer: I think it might be 15.7

7 0

3 years ago

Read 2 more answers

First five common multiples of 7and 20

gulaghasi [49]

The first 5 Multiples of 7<span> are 35, 70, 105, 140, 175
</span>The first 5<span> Multiples of </span>20<span> are: </span>20<span>, 40, 60, 80, 100
</span>

4 0

3 years ago

7 2/3 16 3/5 + 8 1/2 ______