Answer:
Which equation matches the graph of the greatest integer function given below?
2 answers:
<h2>Answer:</h2>
The equation that matches the graph of the greatest integer function given is:
C.) y=[x]-4
<h2>Step-by-step explanation:</h2>Clearly after looking at the graph of the function we see that:
when x=2 the value of function is: y= -2
Hence, we will check by putting the value of x in each of the following options and check which hold true.
A.)
y=[x]+2
when x= 2 we have:
Hence, option: A is incorrect.
B.)
y=[x]-2
when x= 2 we have:
Hence, option: B is incorrect.
D.)
y=[x]+4
when x= 2 we have:
Hence, option: D is incorrect.
C.)
y=[x]-4
when x= 2 we have:
Similarly for other value of x it will match.
Hence, option: C is the correct answer.
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Answer:
So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:
Step-by-step explanation:
Previous concepts
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".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:
Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> = =
= <u>1.7</u>