Answer:
Step-by-step explanation:
1. This paragraph describes an observational study.
It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.
2. The students who took Latin are the treatment group.
3. The fact that students decided on their own to take Latin is a confounding factor.
4. The students who did not take Latin are the placebo or control group.
Answer:
1.99
Step-by-step explanation:
<h2>
Answer:</h2>
The graph is shown in the Figure below
<h2>
Step-by-step explanation:</h2>
In this exercise, we have an equation. On the left side we have a straight line with slope 
and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is 
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point 
.
Answer:
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven
Step-by-step explanation:
Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.
Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.
a²+b²=c²
a²=c²-b²
a²=4²-3²
a²=16-9
a²=7
a=√7
Then Cos ∅= opposite/ adjacent
=√7/4
Then Tan ∅ = opposite/adjacent
=3/√7
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.
Answer:
1/4x^2 - 1/4x - 1/4
Step-by-step explanation:
I multiplied the two binomials at the top to get 6x^2 + x -2 and I divided it by 24x^2 - 4x - 8 and simplified it to get 1/4x^2 - 1/4x - 1/4
