The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
- (200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)
Using the distributive law;
- 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
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Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Answer:
Step-by-step explanation:
5x+20 = 0
5X= -20
X= -20/5 = -4
8(4n+3) = 32n+24 =0
32n = -24
n = -24/32 = -3/4
12n-6=0
12n =6
n = 6/12 = 1/2
9(2x+9)
18x+81 =0
18x= -81
x= -81/18 = -9/2= -4.5
36+9y=0
36=-9y
36/-9 = y = -4
7(n-3) = 0
7n-21=0
7n = 21
n = 21/7
n=3
21+15a = 0
21= -15a
a= 21/-15 = 7/-5 = -1.4
32x-12x=0
20x=0
x=0/20 = 0
n-4-9=0
n-13=0
n=13
-3x-9+15x=0
-3x+15x-9 =0
12x-9=0
12x=9
x=9/12 = 3/4 = 0.75
-16N-14N=0
-30n=0
n=0/-30 =0
-10-90x-6x-10x²-2
-10-2-96x-10x²
-12-96x-10x²
10x²+96x+12
x= -b±√b²-4(a)(c)/2a
{-96±√96²-4(10)(12)}/2(10)
{-96±√(9216-480)}/20
-96±√8736/20
-96±(93.4665715644)/20
-96+93.4665715644/20 -96-93.4665715644/20
-2.5334284356/20 -189.466571564/20
-0.12667142178≅ -0.13 -9.4733285782≅ -9.47
-0.13 -9.47
-5(9n+9) =0
-45n-45 =0
-45n = 45
n = 45/-45 =-1
-5n+3(6+7n)
-5n+18+21n=0
-5n+21n+18 =0
16n+18 =0
16n = -18
n = -18/16 = -9/8 = -1.125
-4+7(1-3n)=0
-4+7-21n=0
3-21n=0
3=21n
3/21=n = 1/7
3n-(2n-8)
3n-2n+8=0
n+8=0
n=-8
Answer:
a(n) = -2 + 8(n - 1)
Step-by-step explanation:
General formula is a(n) = a(1) + d(n - 1), where d is the common difference.
Here a(n) = -2 + 8(n - 1)
