They all only have 1 term.
3x+4y = 375
6x+ 4y= 600
-------------------
6x-3x = 600 - 375
3x=225
x=225:3
x=75 cents
3*x+4y= 375
3*75+4y=375
225 +4y = 375
4y=375-225
4y=150
y=150:4
y=37,5 cents
the price is 75+37,5=112,5 cents for one bag of potato chips and one candy bar
So the formula for the circumference of a circle is π x diameter
Since we know the the circumference already, we just divide that by π:
12π / π = 12
Now we halve the diameter to get the radius:
12 / 2 = 6
The area of a circle is π x radius²
So the area is:
·π x 6² = 36π· (or 113 not in terms of π)
Answer:
3,1
Step-by-step explanation:
Answer:
The correct answer is:
(a) 0.54
(b) 0.0385
Step-by-step explanation:
Given:
Restaurant tax,
p = 0.54
Sample size,
n = 168
Now,
(a)
The mean will be:
⇒ μ 

(b)
The standard error will be:
= ![\sqrt{[\frac{p(1-p)}{n} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%5D%7D)
= ![\sqrt{[\frac{(0.54\times 0.46)}{168} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7B%280.54%5Ctimes%200.46%29%7D%7B168%7D%20%5D%7D)
= ![\sqrt{[\frac{(0.2484)}{168} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7B%280.2484%29%7D%7B168%7D%20%5D%7D)
= 