There are two machines available for cutting corks intended for use in wine bottles. measurements of 25 corks from the first machine indicates that it produces corks with diameters that are distributed with a sample mean 2.99 cm and sample standard deviation 0.08 cm. measurements of 30 corks from the second machine reveals that it produces corks with diameters that have a distribution with sample mean 3.04 cm and sample standard deviation 0.04 cm. acceptable corks have diameters between 2.9 cm and 3.1 cm. 1) what is the uncertainty in the true mean cork diameter for the first machine?
2) what is the uncertainty in the true mean cork diameter for the second machine?
3) what is the probability that the first machine will produce an acceptable cork? 4) what is the probability that the second machine will produce an acceptable cork? (round your answer to four decimal places.)

1) 0.016

2) 0.0073

3) 78.51%

4) 93.3%

Step-by-step explanation:

The standard uncertainty is defined as the standard error of the mean

where  

s = sample standard deviation

n = sample size

1)

2)

3)

Given that acceptable corks have diameters between 2.9 cm and 3.1 cm, the probability that the first machine will produce an acceptable cork is the area between 2.9 and 3.1 of the Normal curve of mean 2.99 and standard deviation 0.08.

This area can be calculated easily with a spreadsheet and we obtain a probability of 0.7851 or 78.51%

4)

The probability is the area between 2.9 and 3.1 of the Normal curve of mean 3.04 and standard deviation 0.04 which is 0.933 or 93.3%

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

pls mark as brainliest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500