Answer:
No, the given polynomial is not prime.
Step-by-step explanation:
Given: a polynomial 
To check: whether the given polynomial is prime or not.
Solution:
A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.
In the given polynomial, coefficients are integers.
Also, the polynomial cannot be factored further into polynomials of lower degree.
So, the given polynomial is not prime.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 152.5
For the alternative hypothesis,
µ ≠ 152.5
This is a two tailed test.
Since no population standard deviation is given, the distribution is a student's t.
Since n = 231
Degrees of freedom, df = n - 1 = 231 - 1 = 230
t = (x - µ)/(s/√n)
Where
x = sample mean = 148.9
µ = population mean = 152.5
s = samples standard deviation = 27.4
t = (148.9 - 152.5)/(27.4/√231) = - 2
We would determine the p value using the t test calculator. It becomes
p = 0.047
Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals
We have to determine the value of a house after 10 years. We know that the present value of the house is $125,000 and that the value increases 3.5% each year. Formula is: FV = PV * ( 1 + r )^t, where FV is the future value, PV is the present value, r = 3.5% = 0.035 and t = 10 years. FV = 125,000 *( 1.035 )^10 = 125,000 * 1.4105; FV = $176,324.85 ( $ 176,325 to the nearest dollar ). Answer: The value of the house after 10 years will be <span>$176,325.</span>
Answer:
9, 13, 22, 38, <u>63</u>, <u>99</u>
Step-by-step explanation:
13 = 9 + 2²
22 = 13 + 3²
38 = 22 + 4²
38 + 5² = 38 + 25 = 63
63 + 6² = 63 + 36 = 99
