Answer:
x=6 and y=2
Step-by-step explanation:
3x+5y=28
−4x−5y=−34
Add these equations to eliminate y:
−x=−6
Then solve −x=−6 for x:
−x=−6
(Divide both sides by -1)
x=6
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+5y=28
Substitute 6 for x in 3x+5y=28:
(3)(6)+5y=28
5y+18=28 (Simplify both sides of the equation)
5y+18+−18=28+−18 (Add -18 to both sides)
5y=10
(Divide both sides by 5)
y=2
Answer: 482
Step-by-step explanation:
Formula to find the sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Population standard deviation and E = Margin of error.
As per given , we have
Margin of error : E= 3
![\sigma=40](https://tex.z-dn.net/?f=%5Csigma%3D40)
Confidence level = 90%
Significance level =![\alpha=1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.10)
Using z-table , the critical value for 90% confidence=![z^*=z_{\alpha/2}=z_{0.05}=1.645](https://tex.z-dn.net/?f=z%5E%2A%3Dz_%7B%5Calpha%2F2%7D%3Dz_%7B0.05%7D%3D1.645)
Required minimum sample size =
[Substitute the values in formula (1)]
![n=(21.9333333333)^2](https://tex.z-dn.net/?f=n%3D%2821.9333333333%29%5E2)
[ Round to the next integer]
Hence, the number of observations required is closest to 482.
Answer:
sure, its 3.04
Step-by-step explanation:
Answer: $1450
The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans.
Step-by-step explanation: