45 students for performance
30 students for jazz
19 for both
Add the two bands first
45 + 30 = 75 students
Since there are 19 for both and the question is how many students signed up for only one of the two bands (not both bands).
75 - 19 = 56 students signed for one of the two bands
So you're good to go
Answer:
Z = (60 - x + y + z) / √a + b + c
Step-by-step explanation:
Since it is a normal distribution, we must calculate the mean and standard deviation, since we do not have data, what we will do is leave them based on these:
Thus Total Mean time = M1 + M2 + M3
given:
M1 = x
M2 = y
M3 = z
Total Mean Time M = x + y + z
Now to calculate the standard deviation we first calculate the variance.
The total Variance V = V1 + V2 + V3
Given:
V1 = a
V2 = b
V3 = c
V = a + b + c
Thus Standard deviation SD of the complete operation is
SD = √ V
SD = √a + b + c
we need to find the probability that the mean time is less than or equal to 60 minutes, the first thing is to find the value of Z.
Formula of Z is:
Z = (X - M) / SD
In this case X = 60.
On plugging the values we get
Z = (60 - x + y + z) / √a + b + c
refer to the Z table and find the Probability of Z ≤ (60 - x + y + z) / √a + b + c
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.
Answer:
<h2>
![\huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cred%20%7B%20%5Cboxed%7B%20%5Cblue%7B%20%5Cboxed%7B%20%5Ctt%20%5C%3A%20x%20%3C%20%20%20-%20%5Cfrac%7B5%7D%7B2%7D%20%7D%7D%7D%7D)
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>to find:</h3>
<h3>tips and formulas:</h3>
the direction of inequality does not change
when you
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of inequality does change
when you
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
let's solve:
![step - 1 : define](https://tex.z-dn.net/?f=step%20-%201%20%20%3A%20%20define)
![4x + 6 < 2x + 1](https://tex.z-dn.net/?f=4x%20%2B%206%20%3C%202x%20%2B%201)
![step - 2 : solve \: for \: x](https://tex.z-dn.net/?f=step%20-%202%20%3A%20solve%20%5C%3A%20for%20%5C%3A%20x)
![\tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5](https://tex.z-dn.net/?f=%20%5Ctt%7Bcancel%20%20%5C%3A%206%5C%3Afrom%20%20%5C%3A%20both%20%5C%3A%20sides%7D%20%5C%5C%20%20%5Ctt%7B4x%20%2B%206%20-%206%20%3C%202x%20%2B%201%20-%206%7D%20%5C%5C%20%20%5Ctt%204x%20%3C%202x%20-%205)
![\tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5](https://tex.z-dn.net/?f=%20%5Ctt%20cancel%20%5C%3A%202x%20%5C%3A%20from%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%5Ctt%204x%20-%202x%3C%202x%20-%202x%20-%205%20%5C%5C%20%20%5Ctt%202x%20%3C%20%20-%205)
![\tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2}](https://tex.z-dn.net/?f=%20%5Ctt%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%202%20%5C%5C%20%20%20%5Ctt%5Cfrac%7B2x%7D%7B2%7D%20%20%3C%20%20%5Cfrac%7B%20-5%20%7D%7B2%7D%20%5C%5C%20%20%5Ctt%20x%20%3C%20%20%20-%20%5Cfrac%7B5%7D%7B2%7D%20)
2 =
3 =
6
:
9 =
Step-by-step explanation:
Here are some solutions! Hope this helps.
-Lei