Answer:
(30.09, 32.91)
Step-by-step explanation:
Mean number of pounds of trash = x = 31.5 pounds
Standard deviation = s = 7.8 pounds
Sample size = n = 120
Confidence level = 95%
Since, we are given the sample standard deviation instead of the population standard deviation, we will use t-test to find the confidence interval.
Degrees of freedom = df = n - 1 = 120 - 1 = 119
The t-value associated with 95% confidence interval and df=119 from the t-table comes out to be:
t = 1.98
The formula to calculate the confidence interval is:
Using the values in above expression we get:
Thus, the 95% confidence interval for the mean number of lbs of trash per person per week that is generated in the city is (30.09, 32.91)
<span>The cosine of pi/2 is 0 so the problem really says "find the angle between - pi/2 and pi/2 whose tan = 0. That would be the same as asking for the angle whose sin is 0. That would be 0.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
x= 7, y= -7 or (7, -7)
Step-by-step explanation:
3x-y=28
3x+y=14
because the y is opposite of each other in both equations you can cancel them out
3x=28
3x=14
next you add 3x to 3x, then 28 to 14 and get...
6x=42
next divide both sides by 6 and you get your answer for x...
x=7
now you must solve for y and you do this by substituting what you found for x in one equation it doesn't matter which because you'll get the same answer but you can check for both to make sure...
3(7)+y=14
21+y=14
y=-21+14
y=-7
Answer:
The coordinates are: (-3,-4).
First simplify the square root of 1/25
-√1/25
Rewrite using the quote by rule for radicals.
-√1/√25
Any root of 1 is 1
-1/√25
Simplify the denominator. (find the square root of 25)
-1/5
The result can be shown in both exact and decimal forms.
Exact form: -1/5
Decimal form: -0.2
