Answer:
5.5 inches
Step-by-step explanation:
Proportions:
1 inch ⇔ 20 miles
W inch ⇔ 110 miles
W = 110*1/20
W = 5,5 inch
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = mean sale amount for mail order sales = 82.70
x2 = mean sale amount for internet sales = 66.9
s1 = sample standard deviation for mail order sales = 16.25
s2 = sample standard deviation for internet sales = 20.25
n1 = number of mail order sales = 17
n2 = number of internet sales = 10
For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small
Degree of freedom =
(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25
z = 2.787
Margin of error =
z√(s²/n1 + s2²/n2) = 2.787√(16.25²/17 + 20.25²/10) = 20.956190
Answer:
-8 < x < -5 or x > -4
Step-by-step explanation:
(Work cannot be showed due to issue occured)
Answer:
![Area = 51.68yd^2](https://tex.z-dn.net/?f=Area%20%3D%2051.68yd%5E2)
Step-by-step explanation:
Given
-- height
--- base sides
Required
Determine the surface area
The net is not given. So, I will solve directly.
The surface area is calculated as:
![Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}](https://tex.z-dn.net/?f=Area%20%3D%20a%5E2%20%2B%202a%5Csqrt%7B%5Cfrac%7Ba%5E2%7D%7B4%7D%20%2B%20h%5E2%7D)
So, we have:
![Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}](https://tex.z-dn.net/?f=Area%20%3D%202.5%5E2%20%2B%202%2A2.5%5Csqrt%7B%5Cfrac%7B2.5%5E2%7D%7B4%7D%20%2B%209%5E2%7D)
![Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}](https://tex.z-dn.net/?f=Area%20%3D%206.25%20%2B%205%5Csqrt%7B%5Cfrac%7B6.25%7D%7B4%7D%20%2B%2081%7D)
![Area = 6.25 + 5\sqrt{1.5625 + 81}](https://tex.z-dn.net/?f=Area%20%3D%206.25%20%2B%205%5Csqrt%7B1.5625%20%2B%2081%7D)
![Area = 6.25 + 5\sqrt{82.5625}](https://tex.z-dn.net/?f=Area%20%3D%206.25%20%2B%205%5Csqrt%7B82.5625%7D)
![Area = 6.25 + 5* 9.086](https://tex.z-dn.net/?f=Area%20%3D%206.25%20%2B%205%2A%209.086)