Answer:
1).
7, rational
2).
2.36 (repeating), irrational
3).
4).
Answer:
the answer is c
1,175/3mm3
Step-by-step explanation:
I got it right
Answer:
Actually:
V = 500/3
7. A(x) = 2;1-1.2,0,02,12,4
The range of the function A(x) = 2 is {2}.
The range of a function represents all the possible values that the function can output for the given inputs.
In this case, the function A(x) = 2 has a constant output of 2 for every input value in the domain.
Therefore, the range of this function is {2} as it only produces the output of 2.
(b) What is the probability that a participant chosen at random was not satisfied with their service?
Answer:
(a) The probability is 31.44%
(b) The probability is 9.345%
Step-by-step explanation:
The probability for part (a) is calculated as a multiplication of:
65.5% * 48% = 31.44%
Where 65.5% is the percentage of participants that had not switched service in the past 3 years and 48% are the percentage of those 65.5% that were very satisfy. So, the 31.44% of the participants had not switched service in the past 3 years and were very satisfied with their service.
Then, for part b, we have 2 cases:
So, the probability is calculated as a sum of these two probabilities.
Therefore, the probability for case 1 is calculated as:
34.5% * 10% = 3.45%
Where 34.5% is the percentage of participants that had switched service in the past 3 years and 10% are the percentage of those 34.5% that were not satisfy.
At the same way, the probability for case 2 is:
65.5% * 9% = 5.895%
Finally, the probability that a participant chosen at random was not satisfied with their service is the sum of 3.45% and 5.895%. That is:
3.45% + 5.895% = 9.345%
Answer:
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Hence , the sum is .
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Given , we need to add and .
So, we can write it as :
Writing like terms together:
Hence , the answer is .
Learn more about Algebraic expressions :
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Answer:f
(x)=x, g(x)=x3−1f(x)=x4+x3−11x2−5x+30, g(x)=2x−2f(x)=x2, g(x)=7x−1
in short ways the answer is 7x−1
answer: x+y=2
0+2=²
( 0 , 2 )
Answer:
(0,2)
Step-by-step explanation:
0 + 2 = 2
Where x = 0, y = 2
pounds
(b) Construct the 90% confidence interval for the mean weight of all spawning Chinook salmon in the Columbia River. Round your answers to 1 decimal place.
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(c) Are you 90% confident that the mean weight of all spawning Chinook salmon in the Columbia River is greater than 18 pounds and why?
No, because 18 is above the lower limit of the confidence interval.
Yes, because 18 is below the lower limit of the confidence interval.
No, because 18 is below the lower limit of the confidence interval.
Yes, because 18 is above the lower limit of the confidence interval.
(d) Recognizing the sample size is less than 30, why could we use the above method to find the confidence interval?
Because the sample size is greater than 10.
Because we do not know the distribution of the parent population.
Because the parent population is assumed to be normally distributed.
Because the sample size is less than 100.
Answer:
a) represent the sample mean. And that represent the best estimator for the population mean since b) The 90% confidence interval is given by (17.3;21.1)
c) No, because 18 is above the lower limit of the confidence interval.
d) Because the parent population is assumed to be normally distributed.
The reason of this is because the t distribution is an special case of the normal distribution when the degrees of freedom increase.
Step-by-step explanation:
1) Notation and definitions
n=17 represent the sample size
Part a
represent the sample mean. And that represent the best estimator for the population mean since Part b
represent the sample standard deviation
m represent the margin of error
Confidence =90% or 0.90
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
2) Calculate the critical value tc
In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 90% of confidence, our significance level would be given by and . The degrees of freedom are given by:
We can find the critical values in excel using the following formulas:
"=T.INV(0.05,16)" for
"=T.INV(1-0.05,16)" for
The critical value
3) Calculate the margin of error (m)
The margin of error for the sample mean is given by this formula:
4) Calculate the confidence interval
The interval for the mean is given by this formula:
And calculating the limits we got:
The 90% confidence interval is given by (17.332;21.068) and rounded would be: (17.3;21.1)
Part c
No, because 18 is above the lower limit of the confidence interval.
Part d
Because the parent population is assumed to be normally distributed.
The reason of this is because the t distribution is an special case of the normal distribution when the degrees of freedom increase.