Answer:D
Step-by-step explanation:
Answer:
Step-by-step explanation:
(a) H0: μ_D=0
Ha: μ_D ≠ 0
b) Find attached the solution
(c) By technology,
p - value = 0.4437
Hence,
the p-value is 0.4437
Answer:
-5/6
Step-by-step explanation:
-1 2/3=-5/3
-5/3+5/6=-10/6+5/6=-5/6
Answer: The value of x in trapezoid ABCD is 15
Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.
One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.
With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.
Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;
3x + 3x + 9x + 9x = 360
24x = 360
Divide both sides of the equation by 24
x = 15
Therefore, in trapezoid ABCD
x = 15
Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,
3f + 2.6 = 3.1 + 2.6 = 3 + 2.6 = 5.6
2f + 2.6 = 2.1 + 2.6 = 2 + 2.6 = 4.6
5.6 = 4.6
Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.
3f + 2.6 = 2f + 2.6
3f = 2f
3f - 2f = 0
f = 0
This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.