A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos
1 answer:
The number of possible groups or combination of three men can be formed from 10 is 120.
According to the given question.
Total number of men in a company, n = 10.
Number of men to be selected, r = 3
As we know that, What is a combination in math?
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A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Therefore, the number of possible groups or combination of three men can be formed from 10
=
= 10!/ 3!7!
= 10(9)(8)/3(2)
= 5 × 3 × 8
= 120
The number of possible groups or combination of three men can be formed from 10 is 120.
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Answer: 0.3 .
Step-by-step explanation:
The digits in number system = 10 ( 0 to 9)
The total different nine-digit Social security numbers = [By Fundamental counting principle]
= 1 billion
Total people in united state = 300 million = 300, 000 ,000
Since each person In US have equal chance to get chosen.
Therefore , if a number is selected randomly , then the probability that it belongs to one of the 300 million people in the United States :-
Hence, the required probability is 0.3 .
Answer:
The best point of estimate for the true mean is:
Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.
Step-by-step explanation:
Information given
represent the sample mean for the late time for a flight
population mean
represent the population deviation
n=76 represent the sample size
Confidence interval
The best point of estimate for the true mean is:
The confidence interval for the true mean is given by:
(1)
The Confidence level given is 0.95 or 95%, th significance would be and
. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got
Replacing we got:
Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.
The amount of radioactive material remaining after 24 hours is 92.15 kg.
<h3>Exponential function</h3>An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the amount of the substance after t hours.
From the equation, a = 100 mg
Also, after 6 hours:
After 24 hours:
y = 100(0.9966)²⁴ = 92.15 kg
The amount of radioactive material remaining after 24 hours is 92.15 kg.
Find out more on Exponential function at: brainly.com/question/12940982