Answer:
x = 5
Step-by-step explanation:
-2 -1(coeffcient of -x) = -3
-3x +3 =-12
subtract 3 (the constant) from both sides
cancelling it on the left and leaving -3x = -15
divide each side by -3 leaving x and 5
x = 5
Answer:
About 8
Step-by-step explanation:
I found this by doing 16 divided by 2 since half of 16 is 8and AC and OC are congruent so I think it is 8.
Answer:
oa
Step-by-step explanation:
Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence
> 5 while
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std =
=
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Answer:
The answer is below
Step-by-step explanation:
Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).
Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:
S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)