Answer:
u gotta divide the 7.5% and the other number that is says (can see the question but there)
Answer:
m = ½
y = ½x - 3
Step-by-step explanation:
m = (-12 + 14)/(‐18 + 22)
m = ½
y + 14 = ½(x + 22)
y = ½x + 11 - 14
y = ½x - 3
37 im pretty sure sorry if not correct.
460 is your answer
20 x 23 = 460
Answer:
The probability is ![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3D%200.9921772)
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is ![\mu_{x} = 0.45](https://tex.z-dn.net/?f=%5Cmu_%7Bx%7D%20%3D%20%200.45)
Generally the standard deviation is mathematically represented as
![\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%20%5Csqrt%7B%5Cfrac%7Bp%20%281-p%29%7D%7Bn%7D%20%7D)
=> ![\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%20%5Csqrt%7B%5Cfrac%7B0.45%20%281-0.45%29%7D%7B175%7D%20%7D)
=> ![\sigma_{x} = 0.0376](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%200.0376)
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
![P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )](https://tex.z-dn.net/?f=P%280.35%20%3C%20%20X%20%3C%200.55%29%20%3D%20%20P%28%20%5Cfrac%7B0.35%20-%200.45%7D%7B0.0376%7D%20%3C%20%20%5Cfrac%7BX%20-%5Cmu_%7Bx%7D%7D%7B%5Csigma_%7Bx%7D%7D%20%20%3C%20%20%5Cfrac%7B0.55%20-%200.45%7D%7B0.0376%7D%20%29)
=> ![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3D%20%20P%28%20-2.696%20%20%3C%20%20%5Cfrac%7BX%20-%5Cmu_%7Bx%7D%7D%7B%5Csigma_%7Bx%7D%7D%20%20%3C%202.6595%20%29)
Generally ![\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%20%5Cmu_%7Bx%7D%7D%7B%5Csigma_%7Bx%7D%7D%20%20%3D%20%20Z%20%20%28The%20%5C%20%20standardized%20%5C%20%20value%20%5C%20%20of%20%20X%29)
So
![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3D%20%20P%28%20-2.6596%20%20%3C%20%20Z%3C%202.6595%20%29)
=> ![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3DP%28%20%20Z%3C%202.6595%20%29%20-%20%20%20P%28%20Z%20%3C%20%20-2.6596%20%29)
From the z-table
![P( Z< 2.6595 ) = 0.99609](https://tex.z-dn.net/?f=P%28%20%20Z%3C%202.6595%20%29%20%3D%200.99609)
and
![P( Z< - 2.6595 ) = 0.0039128](https://tex.z-dn.net/?f=P%28%20%20Z%3C%20-%202.6595%20%29%20%3D%200.0039128)
So
![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3D0.99609%20-%20%20%200.0039128)
=> ![P(0.35](https://tex.z-dn.net/?f=P%280.35%20%3CX%20%20%3C%200.55%29%20%3D%200.9921772)