Answer:
Step-by-step explanation:
We want to construct a 90% confidence interval for the mean content of this brand of buffered aspirin.
Number of sample, n = 25
Mean, u = 325.05 mg
Standard deviation, s = 0.5 mg
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
325.05 ± 1.96 × 0.5/√25
= 325.05 ± 1.96 × 0.1
= 325.05 ± 0.196
The lower end of the confidence interval is 325.05 - 0.196 =324.854
The upper end of the confidence interval is 325.05 + 0.196 =325.246
Therefore, with 95% confidence interval, the mean content of this brand of buffered aspirin is between 324.854 mg and 325.246 mg
Answer:
Trees can help stop erosion by managing runoff. Their leaf canopies help reduce erosion caused by falling rain. They also provide surface area where rain water lands and evaporates. Roots take up water and help create conditions in the soil that promote infiltration.
Answer:
y=-5/7
Step-by-step explanation:
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
