Answer:
9
Step-by-step explanation:
similar triangles.
that means there is one common factor to transform the lengths of all lines from one triangle to the other.
it looks to me DF is the longest side in DEF, and that would make it associated to BC of ABC.
so, the factor is then
BC = DF×f
24 = 12×f
=> f = 2
so, EF then is associated to AC.
AC = EF × f
18 = EF × 2
EF = 18/2 = 9
Answer:
(a) Null Hypothesis (H₀) = Mean of x₁ > Mean of x₂
Alternative Hypothesis (H₁) = Mean of x₁ ≠ Mean of x₂
(b) We will use here t-test for two sample means which is given by,
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Putting all values we get, t = 17.5 with 20 degree of freedom
At α = 0.05
p-value = 95% Confidence Interval for the Difference ( 6.6068 , 8.3932 )
Answer:
b) (5, -3)
Step-by-step explanation:
The given equations are;


I prefer using substitution because of the first equation.
Put equation (1) into equation (2) to obtain;

We expand the parenthesis to obtain;

Group similar terms to get;

Simplify

Divide through by 5;


Put
into equation (1) to get;


The solution is (5,-3).
The correct answer is B