Answer:
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Step-by-step explanation:
Given that;
mean x" = 5.4
standard deviation σ = 0.7
n = 6
Null hypothesis H₀ : μ = 5.0
Alternative hypothesis H₁ : μ > 5.0
∝ = 0.025
now,
t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4
degree of freedom df = n-1 = 6 - 1 = 5
T critical = 2.571
Therefore; t < T critical,
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
Answer: one gallon jug of water cost’s $3.68
H(arold) = 2 + 2*K(enneth)
H = 2 + 2K
H + K = 38
Substitution:
2 + 2K + K = 38
3K = 36
K = 12
Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems
Step-by-step explanation:
Given : AD=CD and
∠3=∠4
To prove : Line DB bisects ∠ABC
i.e.∠ABD=∠CBD
Proof : Consider ΔABD and ΔCBD,

and

and

So, ΔABD ≅ ΔCBD (By SAS criterion}
Hence , By CPCT (corresponding part of congruent triangle}
∠ABD=∠CBD
Therefore, Line DB bisects ∠ABC.