If Angie and her friends ate 3/4 of a pizza, that means that 1/4 is left.
Joe ate 2/3 of 1/4 of a pizza. To find out how much he ate, multiply 1/4 by 2/3.
![\frac{1}{4}* \frac{2}{3}= \frac{2}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%2A%20%5Cfrac%7B2%7D%7B3%7D%3D%20%5Cfrac%7B2%7D%7B12%7D%20)
because you multiply fractions straight across.
Your answer is 2/12 or
<em>1/6 of the pizza</em>
Answer:
12
Step-by-step explanation:
610 divided by 55 = 11.09
but since u cant have 11.09, u need 12
Answer:
hi
Step-by-step explanation:
u need help
Answer:
i think 18
Step-by-step explanation:
bc like 3 cups-1 hour
6 cups- 2 hours
...... .........
Answer:
The probability is ![P( | \^ p - p| > 0.03) =0.9945](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D0.9945)
Step-by-step explanation:
From the question we are told that
The population proportion is ![p = 0.05](https://tex.z-dn.net/?f=p%20%3D%200.05)
The sample size is n = 408
Generally the standard deviation of the sampling distribution is mathematically represented as
![\sigma = \sqrt{\frac{p (1- p)}{n} }](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%20%281-%20p%29%7D%7Bn%7D%20%7D)
=>
=> ![\sigma = 0.0108](https://tex.z-dn.net/?f=%5Csigma%20%3D%200.0108)
Generally the probability that the sample proportion will differ from the population proportion by greater than 0.03 is mathematically represented as
![P( | \^ p - p| > 0.03) = P( \frac{|\^ p - p | }{\sigma } > \frac{0.03}{0.0108} )](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D%20%20P%28%20%5Cfrac%7B%7C%5C%5E%20p%20-%20p%20%7C%20%7D%7B%5Csigma%20%7D%20%3E%20%20%5Cfrac%7B0.03%7D%7B0.0108%7D%20%20%29)
![\frac{|\^ p -p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p -p | )](https://tex.z-dn.net/?f=%5Cfrac%7B%7C%5C%5E%20p%20-p%20%7C%7D%7B%5Csigma%20%7D%20%20%3D%20%20%7CZ%7C%20%28The%20%20%5C%20standardized%20%5C%20%20value%5C%20%20of%20%20%5C%20%7C%5C%5E%20p%20-p%20%7C%20%29)
So
![P( | \^ p - p| > 0.03) = P( |Z|> 2.778 )](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D%20%20P%28%20%7CZ%7C%3E%202.778%20%29)
=> ![P( | \^ p - p| > 0.03) = P( Z < 2.778) - P(Z < -2.777)](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D%20P%28%20Z%20%3C%20%202.778%29%20-%20P%28Z%20%3C%20%20-2.777%29)
From the z table the area under the normal curve to the left corresponding to 2.778 and -2.778 is
![P( Z < 2.778) = 0.99727](https://tex.z-dn.net/?f=P%28%20Z%20%3C%20%202.778%29%20%20%3D%200.99727)
and
![P( Z < -2.778) = 0.0027347](https://tex.z-dn.net/?f=P%28%20Z%20%3C%20%20-2.778%29%20%20%3D%200.0027347)
So
![P( | \^ p - p| > 0.03) = 0.99727 - 0.0027347](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D%200.99727%20%20-%200.0027347)
=> ![P( | \^ p - p| > 0.03) =0.9945](https://tex.z-dn.net/?f=P%28%20%7C%20%5C%5E%20p%20-%20p%7C%20%3E%20%200.03%29%20%3D0.9945)