Answer:
90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.
Step-by-step explanation:
Confidence interval for true mean weight is given as sample mean +/- margin of error (E)
sample mean = 110 g
sample sd = 14 g
n = 16
degree of freedom = n - 1 = 16 - 1 = 15
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753
E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g
Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g
Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g
90% confidence interval is (103.8645, 116.1355)
121 over 121 is a whole number of 1
Your first point would be on (0, 2), the vertex. Then, put a point on (-2, 22). Hope that helps!
Answer:
The answer should be 44.72 inches.
Step-by-step explanation:
In order to find the height when given the volume, use the formula V=Ah
The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2
Now, 1,000= .5x^2(h).
Take the volume and divide it by .5. This gives you 2,000.
Now the equation is 2,000=x^2 (h)
Take the square root of 2,000 and this gives you the answer of 44.72 inches.