Answer:
The difference is significative we reject H₀
Step-by-step explanation:
Normal Distribution
Population mean X₁ = 150
Population standard deviation σ = 25
Sample size n = 125
Sample mean X₂ = 158
1.-CI = 95 % significance level α = 5% α = 0,05
From z-table α = 0,05 z(c) = 1,64 ( the test is one-tail test to the right)
2.-Hypothesis Test
Null Hypothesis H₀ X₂ = X₁
Alternative Hypothesis Hₐ X₂ > X₁
3.-To compute z(s)
z(s) = ( X₂ - X₁ ) / σ/√n
z(s) = 8 * 11,14 /25
z(s) = 89,12/25
z(s) = 3,56
4.- Comparing z(s) and z(c)
z(s) > z(c)
Then z(s) is in the rejection region we reject H₀
If the given are h =2x+9, l = x+2, w = 3x, then the answer is 6x^3+39x^2+54x
V = lwh
= (2x+9)(x+2)(3x)
= (2x^2 + 4x + 9x + 18)(3x)
= 6x^3 + 12x^2 + 27x^2 + 54x
= 6x^3 + 39x^2 + 54x
First find X by subtracting 9.8 from 14.7
X should equal 4.9
than fill in the equation for x
8(4.9-3.7)
you then subtract in the parenthasis
getting the answer of 1.2
finally multiply 1.2x8
Your final answer is 9.6
Answer:
The number must be divisible by 6
Step-by-step explanation:
Being divisible by 2 means that 2 is a factor of the number. Same with being divisible by 3, so that means the number has 2 and 3 as factors, therefore, 6 is also a factor, and the number will be divisible by it.
Answer:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
Step-by-step explanation:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.