Relative frequency of plastic buttons with four holes is 28/80 = 0.35
Relative frequency of plastic buttons with two holes is 15/80 = 0.1875
Relative frequency of wooden buttons with two holes is 34/80 = 0.425
Relative frequency of wooden buttons with four holes is 3/80 = 0.0375
0.35 + 0.1875 + 0.425 + 0.0375 = 1
Answer 16.
Step-by-step explanation:
First you replace the xs with 1/2
(√2•1/2+3)/(6•1/2-5)
Then you solve the multiplications
2•1/2=1
6•1/2=3
Now write them in
(√1+3)/(3-5)
Simplify
(√4)(-2)
Root of 4 equals to
2/-2
And the answer is -1
Answer 17:
Replace x with 8
1/2•8^2-(1/4•8+3)
Solve parenthesis, multiplication first
1/2•8^2-(2+3)
1/2•8^2-(5)
1/2•8^2-5
Solve the 8^2 and the 1/2
1/2•64-5
32-5
The answer is 17
Answer: the number of cookies sold must be greater than or equal to 800
Step-by-step explanation:
Let x represent the number of cookies made and sold in a month.
The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be
300 + 0.45x
Each cookie sells for $.95. This means that the total revenue from selling x cookies would be
0.95x
Profit = Revenue - cost
Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be
0.95x - (300 + 0.45x) ≥ 100
0.95x - 300 - 0.45x ≥ 100
0.95x - 0.45x ≥ 100 + 300
0.95x - 0.45x ≥ 100 + 300
0.5x ≥ 400
x ≥ 400/0.5
x ≥ 800
X = short section of rope
4x = longer section of rope
x + 4x = 25
5x = 25
x = 5
…or in other words the shorter piece of rope is 5 feet long
Answer:
Step-by-step explanation:
y²-y-4x=0
differentiate w.r.t. x
2y*y^1-y^1-4=0
(2y-1)y^1=4
y^1=4/(2y-1)
