Answer:
2.5 right?
Warning: Answer may be wrong. I don`t know, it`s 11 A.M so please forgive me.
Answer:
a=-8 b=2
Step-by-step explanation:
x^2+6x-16
x^2+(8-2)x-16=0
x^2+8x-2x-16=0
X(X+8)-2(X+8)=0
(X+8)(x-2)=0
Compare with (X+a)(X+b)
Where we get a=-8 b=2
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Call the length a, the width b
Perimeter = (a+b) x 2
And since we have (a+b) x 2 = 43.6, a + b = 43.6 : 2 = 21.8
a + b = 21.8
a - b = 7
-> a + b + (a - b) = 28.8
2a = 28.8
a = 14.4
b = 7.4
So, the area of the rectangle is 14.4 x 7.4 = 106.56
