S=3
I believe
Because 7-10=3 and it don’t change the other way I think hahaha
Answer:
<h2>y = -5x - 10</h2>
Step-by-step explanation:
![\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================](https://tex.z-dn.net/?f=%5Ctext%7BLet%7D%5C%5C%5C%5Ck%3Ay%3Dm_1x%2Bb_1%5C%5C%5C%5Cl%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D%5C%5C%5C%5Cl%5C%20%5Cparallel%5C%20k%5Ciff%20m_1%3Dm_2%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%7D%5C%20y%3D%5Cdfrac%7B1%7D%7B5%7Dx%2B10%5Cto%20m_1%3D%5Cdfrac%7B1%7D%7B5%7D%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%20m_2%3D-%5Cdfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B5%7D%7D%3D-5.%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20a%20slope%20and%20the%20coordinates%20of%20the%20point%20%28-3%2C%205%29%7D%5C%5C%5Ctext%7Bto%20the%20equation%7D%5C%20y%3Dmx%2Bb%3A%5C%5C%5C%5C5%3D-5%28-3%29%2Bb%5C%5C5%3D15%2Bb%5Cqquad%5Ctext%7Bsubtract%2015%20from%20both%20sides%7D%5C%5C-10%3Db%5Cto%20b%3D-10%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cy%3D-5x-10)
Answer:
1. 24
2. 4
3. 22
4. 14
5. 15
6. 70
7. 0
8. 33
9. 19
Step-by-step explanation:
Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.
Answer:
'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
Step-by-step explanation:
From the diagram, it is clear that
The data set containing Poplar Middle School:
20 20 20 21 21 21 21 21 22 22 22 22 22 22 22 23 23 23 23 24
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
![\mu = 435/20](https://tex.z-dn.net/?f=%5Cmu%20%3D%20435%2F20)
![=\frac{87}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B87%7D%7B4%7D)
![= 21.75](https://tex.z-dn.net/?f=%3D%2021.75)
The data set containing Oak Middle School:
20 21 21 22 22 23 23 23 23 24 24 24 25 25 26 26 27 27 28 29
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
![\mu = 483/20](https://tex.z-dn.net/?f=%5Cmu%20%3D%20483%2F20)
![=24.15](https://tex.z-dn.net/?f=%3D24.15)
So, the difference in mean will be:
![24.15 - 21.75 = 2.4](https://tex.z-dn.net/?f=24.15%20-%2021.75%20%3D%202.4)
Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.
Product means multiplication.
Given w= weight of a trout.
So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.
So, product of 16 and w can be written as 16*w or simply 16w.
Hence, B is the correct choice.