Answer:
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:

Step-by-step explanation:
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
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Answer: 2 2/3 cups of flour
Step-by-step explanation: If one batch represents 1/4 of the total number of cookies he needs, then it can be deduced that he needs four total batches. If it requires 2/3 cups of flour for each batch and he needs 4 batches, you would multiply 2/3 by 4 to get the answer.
2/3 × 4 = 2 2/3
You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.

The other two angles are 40° and 100°.
Answer:
The correct option is B.
Step-by-step explanation:
It is given that triangle A"B"C" is the image of triangle ABC after transformation.
From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.
It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

The corresponding sides of image A"B"C" are smaller than the preimage ABC.

Since k<0, therefore the transformation shows the reduction. The dilation rule is




Option B is correct.