The answer to your question would be -25/3
As decimal -8.333333
Only 20%of earths water is useable
Answer:
The minimum IQ score will be "126".
Step-by-step explanation:
The given values are:
Mean
![\mu = 100](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100)
Standard deviation
![\sigma=15](https://tex.z-dn.net/?f=%5Csigma%3D15)
Now,
⇒ ![P(z>x)=4 \ percent \ i.e., 0.04](https://tex.z-dn.net/?f=P%28z%3Ex%29%3D4%20%5C%20percent%20%5C%20i.e.%2C%200.04)
⇒ ![P(z>\frac{x- \mu}{\sigma} )=0.04](https://tex.z-dn.net/?f=P%28z%3E%5Cfrac%7Bx-%20%5Cmu%7D%7B%5Csigma%7D%20%29%3D0.04)
⇒ ![1-P(z \leq \frac{x-100}{15})=0.04](https://tex.z-dn.net/?f=1-P%28z%20%5Cleq%20%5Cfrac%7Bx-100%7D%7B15%7D%29%3D0.04)
⇒ ![\frac{x-100}{15}=z0.96](https://tex.z-dn.net/?f=%5Cfrac%7Bx-100%7D%7B15%7D%3Dz0.96)
![=NORMDIS(z=0.96)](https://tex.z-dn.net/?f=%3DNORMDIS%28z%3D0.96%29)
![=1.751](https://tex.z-dn.net/?f=%3D1.751)
⇒ ![x=100+15\times 1.751](https://tex.z-dn.net/?f=x%3D100%2B15%5Ctimes%201.751)
![=126.265 \ i.e., 126](https://tex.z-dn.net/?f=%3D126.265%20%5C%20i.e.%2C%20126)
Answer:
9 and 10
Step-by-step explanation:
The sqaure root of 85 is 9.21954445729.
9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D