Using a system of equations, it is found that there are 34 pop songs are on the playlist.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of hip-hop songs.
- Variable y: Number of pop songs.
Brandon has a playlist with 83 hip-hop and pop songs, hence:
x + y = 83.
There are 15 more hip-hop songs than pop songs, hence:
x = 15 + y.
Replacing the second onto the first equation:
x + y = 83.
15 + y + y = 83.
2y = 68.
y = 34.
There are 34 pop songs are on the playlist.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:1.4
Step-by-step explanation:
We can start by figuring out the axis of symmetry.
y = x² + 12x = x (x + 12)
So roots are x = -12 or 0
Therefore axis of symmetry is x = (-12 + 0) / 2 = -6
We got x-coordinate of vertex. Now plug in x=-6 to solve for y.
y = (-6)² + 12(-6) = 36 - 72 = -36
Therefore vertex is (-6, -36).
Answer:
The kind of error the researcher has done is a;
Type I error
Step-by-step explanation:
When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion
Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection
