Answer: C) 4.20
Explanation:
Multiply each value with its corresponding frequency:
- 1*450 = 450
- 10*35 = 350
- 50*10 = 500
- 100*4 = 400
- 400*1 = 400
Add up the products
450+350+500+400+400 = 2100
Then divide this over the total frequency (450+35+10+4+1 = 500)
So we get 2100/500 = 4.20 as the expected value.
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)
The remaining angle is 35 degrees. This makes the triangle an isosclese triangle as well.
Answer:
definitely theoretical. Seems how mom packed the lunch 3/5 times a week, the pattern will follow
Step-by-step explanation: