The Webster family is taking a train to Washington DC. The train travels a constant speed. The train travels 120 miles in 2hrs.
1 answer:
Answer:
The correct answer is (180 , 3) ; (240 , 4) ; (300 , 5) ; (360 , 6).
Step-by-step explanation:
The Webster family is taking a train to Washington DC.
The train travels 120 miles in 2 hours ≡ (120 , 2).
Speed of the train is 60 miles per hour. ( Speed = )
As the train train travels at constant speed, it will cover 60 miles per hour.
Therefore, the consecutive ordered pairs are given by adding (60 , 1) to the previous ordered pair.
Thus the next ordered pair is given by
(120 , 2) + (60 , 1) = (120+60 , 2+1) = (180 , 3).
Similarly the next three ordered pairs are given by
(240 , 4) ; (300 , 5) ; (360 ,6).
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The coordinates of X in the pre-image of the figure is (3.2, 0.6) if the transformation rule is T_(-5.2, 1.4)(x, y)
<h3>What is geometric transformation?</h3>It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we can see in the figure.
The transformation rule is T_(-5.2, 1.4)(x, y)
X'(-2, 2)
Before the transformation:
X = (-2+5.2, 2-1.4)
X = (3.2, 0.6)
Thus, the coordinates of X in the pre-image of the figure is (3.2, 0.6) if the transformation rule is T_(-5.2, 1.4)(x, y)
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Answer:
Step-by-step explanation:
Let x be the number of apples and y be the number of oranges Kayla buys.
She needs to buy an assortment of at least 15 apples and oranges, then
Apples cost $0.65 each, then x apples cost $0.65x
Oranges cost $0.78 each, then y oranges cost $0.78y.
She spends less than $20.00, so
Not that the number of apples and oranges must satisfy inequalities
so the following system of inequalities models this situation:
Answer:
Interval estimate for the proportion of all homeowners in the United States that hold a home equity loan lie between (.17033 , .22967 ) or 17% to 22.9%
Step-by-step explanation:
Given -
In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off.
If one in five homeowners reports having a home equity loan then for 1200 homeowners = = 240 homeowners reports having a home equity loan.
Sample proportion =
= 0.2
confidence coefficient = 0.99
= 1 - confidence coefficient = 1 - 0.99 = .01
= 2.58
interval estimate for the proportion of all homeowners in the United States that hold a home equity loan
=
=
=
=
=
= (.17033 , .22967 )