Answer:
Step-by-step explanation:
Data given
20 13 21 18 19 22 19 15 12 12 18 21
We can calculate the sample mean and deviation with the following formulas:
And we got:
represent the sample mean
population mean (variable of interest)
s=3.61 represent the sample standard deviation
n=12 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
Since the Confidence is 0.90 or 90%, the significance is and , the critical value would be given by
Now we have everything in order to replace into formula (1):
Answer:
Yes it is a polynomial.
It is a trinomial.
The degree is 4.
Step-by-step explanation:
So polynomial is an expression that has variables, constants, and exponents. And all of these are connected through things like addition and subtraction. In this question, you have x as your variable, 0 as your constant, and 4,3,1 as your exponents.
A term is the part of the polynomial that is separated by + or - sign. So in this question, you have 5m^3, -3m^4, and -7m as your terms. Because you have three terms, therefore this is a trinomial.
The degree of polynomial is represented by the variable with the largest exponent, so in your case, 4 is your largest exponent, therefore the degree of the polynomial is 4.
Answer:
z ∝ x^2
Z = kx^2
when z = 36 and x = 2, substitute into the equation above
i.e, 36 = k x 2^2
36 = 4k
therefore k = 9
so the equation becomes
Z = 9x^2
when x =3
Z = 9 x 3^2
Z = 9 x 9
Z = 81
Step-by-step explanation:
The answer and work is shown by the picture given.