It is 3/4 of the pie is left because one slice is 1/4 of the pie and taking 1/4 from 4/4 is 3/4
5x/4 plug in any number by x
The relation between pressure and volume is given as
v = 18000/p
where
v = volume, in³
p = pressure, lb/in²
When the pressure is p = 900 lb/in², then the volume is
v = 18000/900 = 20 in³
Answer: 20 in³
X^2 + 5x = -2
x^2 + 5x + 2 = 0
x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2
x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2
answer is : negative 5 plus or minus the square root of 17 divided by 2
Answer:
a) 0.172
b) 0.167
c) 0.1404
Step-by-step explanation:
Margin of error, E = ![2\times\sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
here,
p = probability of the event
n = sample size
a) n = 30
p = 10 ÷ 30 = 0.333
Therefore,
E = ![2\times\sqrt{\frac{0.333(1-0.333)}{30}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7B0.333%281-0.333%29%7D%7B30%7D%7D)
= 2 × 0.0861
= 0.172
b) n = 30
p = 21 ÷ 30 = 0.7
Therefore,
E = ![2\times\sqrt{\frac{0.7(1-0.7)}{30}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7B0.7%281-0.7%29%7D%7B30%7D%7D)
= 2 × 0.0836
= 0.167
c) n = 30
p = 22 ÷ 50 = 0.44
Therefore,
E = ![2\times\sqrt{\frac{0.44(1-0.44)}{50}}](https://tex.z-dn.net/?f=2%5Ctimes%5Csqrt%7B%5Cfrac%7B0.44%281-0.44%29%7D%7B50%7D%7D)
= 2 × 0.0702
= 0.1404