Which statement is FALSE?

A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic flaws and must be classified as

Alex73 [517]

Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

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 combinations 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.

17% of its goblets have cosmetic flaws and must be classified as "seconds."

This means that $p = 0.17$

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

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

$P(X = 1) = C_{7,1}.(0.17)^{1}.(0.83)^{6} = 0.3891$

0.3891 = 38.91% probability that only one is a second

7 0

3 years ago

Which of the following rates converts to a unit rate of $12.50 per hour

Veseljchak [2.6K]

What are the following rates?

8 0

3 years ago

A typical tip in a restaurant is 18% of the bill. If the bill is 150,what would the typical tip be

Natasha_Volkova [10]

You want to leave a 18% tip on a meal that cost $150.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or

0.18 x $150.00=$27.00.

So, the amount of tip you are going to leave is $27.00.

This makes the total cost of your meal (to write on your charge slip or other payment)

$150.00 + $27.00 = $177.00.

-By TheRealMarinette

Please do not copy N Paste This Answer.

8 0

2 years ago

Solve the equation -5x + 3 = 2x - 1

frozen [14]

Step-by-step explanation:

Given

- 5x + 3 = 2x - 1

or, 2x + 5x = 3 + 1

or, 6x = 4

or, x = 4/ 6

Therefore x = 2 /3

Hope it will help :)❤

8 0

2 years ago

Read 2 more answers

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for

nadezda [96]

The question is incomplete:

1. A cosmetologist must double his/her salary before the employer con realize any profit from his/her work, Miss, Mead paid Miss, Adams $125,00 per week to start.

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same as in problem 1)

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

Answer:

d. $300.00

Step-by-step explanation:

Given that a cosmetologist must double her salary before the employer can realize any profit from his/her work, for Miss. Mead to realize $50.00 profit on her work, you would have to determine the amount that doubles the salary of the cosmetologist and add the $50 needed as profit:

Salary= $125*2=$250

$250+$50= $300

According to this, the answer is that for Mead to realize $50.00 profit on her work, Miss. Brown must take $300.

4 0

3 years ago