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Five items was taken from the output of factory. The length and weight of 5 items are given



below.



Length (meter): 5 6 7 9 12



Weight (KG): 13 15 18 19 20



State which of the two characteristics of two items is more variable?


) The function g is related to one of the parent functions g(x) = −(x − 2)^3 a.) Identify the parent function f. b.) Use function notation to write g in terms of f.

The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f.


The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f.

Convert 1-i / 2 into trigonometric form


The sum of 2440 consists of two numbers 100 and 10. If 100 is six times that of 10. How many 100 are there?

There is a claim that on daily average, students spend 5.5 hours on social media with a standard deviation of 1.25. A researcher wants to test the claim at 5% level of significance.



1. Formulate the null and alternative hypothesis



2. Determine the test statistic to be used



3. Find the corresponding zvalue



4. Identify the rejection region




In the class of Statistics, there are 75 students in total out of which 55 male, 20 female students. 10 students need to be selected for the occasion of freshers' reception.



a. Determine the probability that 4 of the selected students would be girls by using the formula of binomial distribution.




Find the value of a2 for the recurrence relation an=17an-1+30n, where a0=3



Find the value of a3 for the recurrence relation an=17an-1+30n, where a0=3



Find the value of a1 for the recurrence relation an=17an-1+30n, where a0=3



What would be the hypothesis of the mathematical induction for x(x + 1) < x! , where x ≥ 7?



If P(k) = k2(k + 2)(k – 1) is true, then what is P (k + 1)?

Which of the following is a parameter in the situation “A machine which has been regulated dispenses an average of 330 ml fruit concentrate per bottle. A random sample of 49 bottles filled by the machine has a mean content of 320 ml and a standard deviation of 50 ml.”?

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