Answer:
First Choice: As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
The definition of a positive correlation is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.
The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.
The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.
The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.
The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.
Answer:
(-6,-4)
Step-by-step explanation:
to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2
Answer:
Step-by-step explanation:
Because the line of sight from the top of the lighthouse is parallel to the water, the angle of depression (which is OUTSIDE the right triangle) is alternate interior with the angle of elevation, which is the base angle INSIDE the right triangle this creates. The base angle that is NOT the right angle, of course. Because these angles are alternate interior of a transversal cutting a pair of parallel lines, they are congruent. Therefore, we need to find the measure of the base angle using the 2 sides given. The height of the lighthouse is the height of the triangle and the distance the boat is from the base of the lighthouse is the side adjacent to the angle. We are looking at the tangent ratio which is side opposite/side adjacent. When you need to find a missing angle on your calculator, you willl use the 2nd button and then whichever trig identity you need. Because we need tangent, we will hit 2nd then tan and get this on our screen:
Inside that parenthesis, enter 300/720 and hit enter to get your angle. 2 things here: make sure you are in degrees in your calculator by hitting mode and checking that "degrees" is highlighted instead of radians, and secondly, you do not have to close the parenthesis to get the correct answer. Your angle measure should be 22.619 degrees, by the way.
we can multiply the equation with the invers of that fraction
. 1÷3=0.33333333333333
