Answer:
The probability that the average score of the 49 golfers exceeded 62 is 0.3897
Step-by-step explanation:
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5
![\mu = 61](https://tex.z-dn.net/?f=%5Cmu%20%3D%2061)
![\sigma = 3.5](https://tex.z-dn.net/?f=%5Csigma%20%3D%203.5)
We are supposed to find he probability that the average score of the 49 golfers exceeded 62.
Formula : ![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{62-61}{3.5}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B62-61%7D%7B3.5%7D)
![Z=0.285](https://tex.z-dn.net/?f=Z%3D0.285)
Refer the z table for p value
p value = 0.6103
P(x>62)=1-P(x<62)=1-0.6103=0.3897
Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897
Answer:
Hey there!
Let's solve our equation below.
-2(x+3)= -2(x+1)-4
Let's distribute the parentheses.
-2x-6=-2x-2-4
We combine like terms.
-2x-6=-2x-6
We add 6 to both sides.
-2x=-2x
We divide both sides by -2
x=x
If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.
We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.
Therefore, there are infinitely many solutions.
I hope this helps!
Answer:
![-4y-1](https://tex.z-dn.net/?f=-4y-1)
Step-by-step explanation:
![(5y+-y+-8y)+(8+-8+-1)](https://tex.z-dn.net/?f=%285y%2B-y%2B-8y%29%2B%288%2B-8%2B-1%29)
![-4y-1](https://tex.z-dn.net/?f=-4y-1)
2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n -2
6n - 2 = 6n - 2 (equal)
6n - 6n = 2 - 2
0 = 0
whatever value you put into the place of n, you'll get 0 = 0
Communitive Property of Addition