Answer:

Step-by-step explanation:


Subtract 9 from both sides:


Add 6x to both sides:


Divide both sides by -4:


Answer:
Step-by-step explanation:
5x + 3 = 23 x=4
5. 4 = 3a – 14 a=6
6. 2y + 5 = 19 y=7
Answer:
Step-by-step explanation:
Original price of the music box = $80
Price after 20% discount = Original price - discount
= 80 - 20% of 80
= 80 - 
= 80 - 16
= $64
Price after 40% discount = 80 - 40% of $80
= 80 - 32
= $48
Original price of A faux Ming vase = $60
Price after 20% discount = Original price - discount
= 60 - 20% of $60
= 60 - 12
= $48
Price after 40% discount = Original price - discount
= 60 - 40% of 60
= 60 - 24
= $36
Answer:
a. [6.6350,7.3950]
b. ME=0.5150
Step-by-step explanation:
a. Given that n=40,
and that:
The required 90% confidence interval can be calculated as:
![\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]](https://tex.z-dn.net/?f=%5Cbar%20x%5Cpm%28margin%20%5C%20of%20%5C%20error%29%5C%5C%5C%5C%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C6.88%5Cpm%281.645%5Ctimes%20%5Cfrac%7B1.98%7D%7B%5Csqrt%7B40%7D%7D%29%5C%5C%5C%5C%3D%5B6.3650%2C7.3950%5D)
Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]
b. The margin of error at 90% confidence interval is calculated as:

Hence, the margin of error is 0.5150
A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2