Math.<br> How do I get 37/7 for this problem?

The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c

Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so $p = \frac{2}{20} = 0.1$ .

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487$

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0

3 years ago

Help need to do this by tomorrow

Nuetrik [128]

Answer:

42 degrees

Step-by-step explanation:

To find the complement of an angle, subtract that angle from 90.

90 - 48 = 42

5 0

2 years ago

1.Find the area of a trapezium with parallel sides of

Nana76 [90]

Answer:

The area of the trapezium is $74.8\ cm^2$

Step-by-step explanation:

Area of a trapezium:

$\displaystyle A=\frac{b1+b2}{2}h$

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

$\displaystyle A=\frac{15+7}{2}\cdot 6.8$

$A=74.8\ cm^2$

The area of the trapezium is $74.8\ cm^2$

6 0

3 years ago

What is the value of n in 7 + n/2 = 10

Goryan [66]

Hello!!

$\frac{n}{2} + 7 = 10$

n + 14 = 20

n = 6

Good luck :)

8 0

2 years ago

at a certain university, 23% of students will graduate with a math degree, 31% will graduate with a computer science degree and

Tpy6a [65]

<h3>Answer: B) 47%</h3>

Work Shown:

A = event that the person has math degree

B = event that the person has a computer science degree

P(A) = 0.23, since 23% of the people have a math degree

P(B) = 0.31, similar reasoning as above, just different number

P(A and B) = 0.07

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.23 + 0.31 - 0.07

P(A or B) = 0.47

The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.

There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).

It might help to set up a venn diagram to see why that formula above works.

5 0

2 years ago

Math. How do I get 37/7 for this problem?