Answer:
![x = 14](https://tex.z-dn.net/?f=x%20%3D%2014)
Step-by-step explanation:
5/7x-4/7x=20-14-4
1/7x=2
x=14
Answer:
The expected value for a student to spend on lunch each day = $5.18
Step-by-step explanation:
Given the data:
Number of students______$ spent
2 students______________$10
1 student________________$8
12 students______________$6
23 students______________$5
8 students_______________$4
4 students_______________$3
Sample size, n = 50.
Let's first find the value on each amount spent with the formula:
Therefore,
For $10:
For $8:
l
For $6:
For $5:
For $4:
For $3:
To find the expected value a student spends on lunch each day, let's add all the values together.
Expected value =
$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24
= $5.18
Therefore, the expected value for a student to spend on lunch each day is $5.18
Solution in an attachment.
x = -4; y = -2; z = 4
Answer:
52 units squared
Step-by-step explanation:
![13 \: units\: \times 8 \: units \div 2](https://tex.z-dn.net/?f=13%20%5C%3A%20%20units%5C%3A%20%5Ctimes%208%20%5C%3A%20units%20%5Cdiv%202)
![\bf 1:1.618\iff \cfrac{1}{1.618}\cfrac{\leftarrow \textit{small side=width}}{\leftarrow \textit{longer side=length}}\\\\ -----------------------------\\\\ \textit{now, what if the length is 35?}\to \cfrac{1}{1.618}=\cfrac{w}{\boxed{35}}](https://tex.z-dn.net/?f=%5Cbf%201%3A1.618%5Ciff%20%5Ccfrac%7B1%7D%7B1.618%7D%5Ccfrac%7B%5Cleftarrow%20%5Ctextit%7Bsmall%20side%3Dwidth%7D%7D%7B%5Cleftarrow%20%5Ctextit%7Blonger%20side%3Dlength%7D%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ctextit%7Bnow%2C%20what%20if%20the%20length%20is%2035%3F%7D%5Cto%20%5Ccfrac%7B1%7D%7B1.618%7D%3D%5Ccfrac%7Bw%7D%7B%5Cboxed%7B35%7D%7D)
solve for "w" to get the width
what's the area of a rectangle? length * width, or lw