Answer:
C
Step-by-step explanation:
Each of the tables is a linear relationship. Linear relationships increase or decrease steadily by adding or subtracting a constant. Table A increases by 5. Table B decreases by 2. Table C doesn't change. Table D increase by 4.
A "no change" means the y values never change. The constant is 0 and is a horizontal line. Table C is the solution.
Answer:
Apple juice contains 1728 g sugar whereas soda contains 1404 g sugar
Step-by-step explanation:
I think the answers are Number 1 -2. Number 2. is 2. Number 3. is 4. Number. 4 is 6. And number 5. is 12. I hope this helps :)
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
4x - 1 A B C
------- = --- + ---------- + --------
x^3 - 4x x x - 2 x + 2
4x - 1 = A(x - 2)(x + 2) + Bx(x + 2) + Cx(x - 2)
Let x = 2 then 4(2) - 1 = B(2)(2+2) so 7 = 8B and B = 7/8
Let x = -2 then -8 - 1 = C-2)(-2-2) so -9 = 8C and C = -9/8
Let x = 0 then -1 = -4A and A = 1/4
So the answer is
1 7 9
---- + --------- - ----------
4x 8(x - 2) 8(x + 2)
