Answer:
y = 2x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (6, 7)
m = (7 + 9) / (6 + 2) = 16/8 = 2
y = 2x + c ← is the partial equation
to find c use either of the 2 points
using (6, 7), then
7 = 12 + c ⇒ c = 7 - 12 = - 5
y = 2x - 5 ← equation in slope-intercept form
I’m pretty sure the answer is 0
Answer:
a
![\mu = 127](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20127)
b
c
![z-score = 3.18](https://tex.z-dn.net/?f=z-score%20%20%3D%20%203.18%20)
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
![\mu = np](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20np)
=> ![\mu = 508 * 0.25](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20508%20%2A%200.25)
=> ![\mu = 127](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20127)
Generally the standard deviation is mathematically represented as
![\sigma = \sqrt{ np (1-p)}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%20np%20%281-p%29%7D)
=>
=>
Generally the z-score of 158 is mathematically represented as
![z-score = \frac{158 - 127}{9.76}](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7B158%20-%20127%7D%7B9.76%7D)
=> ![z-score = \frac{158 - 127}{9.76}](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7B158%20-%20127%7D%7B9.76%7D)
=> ![z-score = 3.18](https://tex.z-dn.net/?f=z-score%20%20%3D%20%203.18%20)
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
3-5=-2 On the number like it would be -2