Decimal Form:
4.59375<span>
</span>
Exact Form:
<span>147/32</span><span>
</span>Mixed Number Form: <span>4 19/32</span>
Answer:
-1
Step-by-step explanation:
Given: Mean= 25 minutes.
Standard deviation= 2 minutes
x= 23 minutes.
Lets find the z-score for the number of sandwiches delivered in less than 23 mins.
Formula: Z-score= ![\frac{x-mean}{standard\ deviation}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-mean%7D%7Bstandard%5C%20deviation%7D)
Z-score= ![\frac{23-25}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B23-25%7D%7B2%7D)
⇒ Z-score= ![\frac{-2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B2%7D)
∴ Z-score will be -1
Hence, -1 is the z-score for the number of sandwiches delivered in less than 23 minutes.
So to solve for y, subtract 108 from each side.
The equation becomes -y=126
Since you don't want y to be negative then divide each side by -1 this will flip all of the signs (positives become negative and vice versa) without changing the number.
So the equation is now y= -126
Answer:
20
Step-by-step explanation:
(8 * 5) / 2
=> 40/2
=> 20
Answer:
about 29.7 minutes
Step-by-step explanation:
If it take c minutes for Charles to mow the lawn by himself, it takes c+16 minutes for Peter. The two of them working together can mow in one minute this fraction of the entire lawn:
1/c + 1/(c+16) = 1/18
Multiplying by 18c(c+16), we get ...
18(c +16) + 18(c) = c(c+16)/18
36c +288 = c^2 +16c
c^2 -20c = 288 . . . . . subtract 36c
c^2 -20c +100 = 388 . . . . . add (20/2)^2 = 100 to complete the square
(c -10)^2 = 388
c = 10 +√388 ≈ 29.6977 . . . . . take the positive square root
It takes Charles about 29.7 minutes to mow the lawn by himself.