Q1. Illustrate all the properties of congruency with figures and explanations. Q2. Why do you think you can prove congruency wit
1 answer:
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<u>Given</u>:
The given function is
We need to determine the value of the discriminant f and also to determine the distinct real number zeros of f.
<u>Discriminant</u>:
The discriminant can be determined using the formula,
Now, we shall determine the discriminant of the function
Substituting the values in the formula, we have;
Thus, the value of the discriminant of f is -92.
<u>Distinct roots:</u>
The distinct zeros of the function f can be determined by
(1) If , then the function has 2 real roots.
(2) If , then the function has 2 real roots ( or one repeated root).
(3) If , then the function has 2 imaginary roots (or no real roots).
Since, the discriminant is , then the function has no real roots or 2 imaginary roots.
Thus, the function has 2 imaginary roots.
<h2><u>Answer with explanation:</u></h2>
The confidence interval for population mean (when population standard deviation is unknown) is given by :-
, where n= sample size
= Sample mean
s= sample size
t* = Critical value.
Given : n= 25
Degree of freedom :
Significance level for 98% confidence interval :
Using t-distribution table ,
Two-tailed critical value for 98% confidence interval :
⇒ The critical value that should be used in constructing the confidence interval = 2.4922
Then, the 95% confidence interval would be :-
Hence, the 98% confidence interval for the mean repair cost for the dryers. =