Step-by-step explanation:
oh, come on. you can just use common sense.
a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.
for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).
a)
the local minimum values (y) are
-2, -1
b)
the values of x where it had these minimum values are
-1, +3
$12.95 multiplied by 7 days is $90.65
$2.25 multiplied by 4 days is $9
When you add the two together it equals a total cost of $99.65
Answer:
18 x $2.35= $42.30
Step-by-step explanation:
multiply gallon by price of gas
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by elimination.
x−3y=9;−x+3y=−9
x−3y=9
−x+3y=−9
Add these equations to eliminate x:
0=0
<u>Answer:</u>
Infinitely many solutions.
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
![p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }](https://tex.z-dn.net/?f=p-z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%20%3CP%3Cp%2Bz_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D)
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
![0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }](https://tex.z-dn.net/?f=0.8-1.96%5Csqrt%7B%5Cfrac%7B0.8%280.2%29%7D%7B550%7D%20%7D%20%20%3CP%3C0.8%2B1.96%5Csqrt%7B%5Cfrac%7B0.8%280.2%29%7D%7B550%7D%20%7D)
![0.8-1.96\sqrt{\frac{0.16}{550} }](https://tex.z-dn.net/?f=0.8-1.96%5Csqrt%7B%5Cfrac%7B0.16%7D%7B550%7D%20%7D%20%20%3CP%3C0.8%2B1.96%5Csqrt%7B%5Cfrac%7B0.16%7D%7B550%7D%20%7D)
![0.8-1.96\sqrt{0.00029 }](https://tex.z-dn.net/?f=0.8-1.96%5Csqrt%7B0.00029%20%7D%20%20%3CP%3C0.8%2B1.96%5Csqrt%7B0.00029%20%7D)
![0.8-1.96(0.01706)](https://tex.z-dn.net/?f=0.8-1.96%280.01706%29%20%3CP%3C0.8%2B1.96%280.01706%29)
![0.8-0.03343](https://tex.z-dn.net/?f=0.8-0.03343%20%3CP%3C0.8%2B0.03343)
![0.76657](https://tex.z-dn.net/?f=0.76657%20%3CP%3C0.83343)
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)