The drawing of the lake has the scale of 1 centimeter to 80 meters.
Now, the actual width of the scale is of 1000 meters.
To find out the width of the lake on the drawing we need to convert the actual length as per the scale drawing.
Since we know that in the given scale drawing we have,
1 centimeter = 80 meters
Or we can say that
80 meters = 1 centimeter
1 meter =
meter
Now, 1000 meters should be equivalent to
centimeters.
Therefore, the width of the lake on the scale drawing is 12.5 centimeters.
Answer:
Last Option A – (x, y) = A' (x + 3, y + 1)
Step-by-step explanation:
Step one: Write the transformation coordinates.
In the figure above point A shows the transformed form of A I.e. A' (x', y') will represent A' (-1, 5) while coordinate (x, y) represents A (-4, 4).
Step Two: find the relationship between A and A'
Using substitution let's find the relationship between (x, y) and (x', y')
x' = -1 = (-4 + 3) = (x + 3)
y' = 5 = 4 + 1 = (y + 1)
Therefore A(x, y) → A'(x + 3, y + 1)
Option D is the correct option.
The expected value formula is

We know that there are 125 tickets, so the probability of the ticket is

Then, we find the expected value

<h2>Hence, the expected value is $7.60.</h2>
Answer:
Step-by-step explanation:
An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given. An equation is a mathematical statement or sentence comprised of two equalities or expressions joined with an equal sign.