Answer:
WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.
Step-by-step explanation:
The hypothesis :
H0 : σ = 13
H1 : σ < 13
Using the Chisquare Square statistic :
χ² = (n-1)*s²/σ²
Sample size, n = 25
s² = 6.0547²
σ² = 13²
χ² = (25 - 1)*6.0547² / 13²
χ² = 879.82541016 / 169
χ² = 5.206
The degree of freedom, df = 25 - 1 = 24
The Pvalue(5.206, 24) = 0.99981
Reject H0, if Pvalue < α ;
Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.
Answer:
Step-by-step explanation:
The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3
To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15
Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes
12/15
Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes
13/15
The equation becomes
(12 + 13)/15 = 5/3
25/15 = 5/3
Simplifying 25/15 to its lowest terms, it becomes 5/3 so
5/3 = 5/3
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
She harvests roughly 11 and a half acres an hour
Answer:
The answer should be "B" (The area of △RST is equal to the area of △LMN.)
