i y vino the answer is 60° i hope so
X = shorter piece
y = longer piece = 5x
shorter piece + longer piece = 60
x + 5x = 60
6x = 60
x = 60/6
x = 10 in. <== shorter piece
y = 5x
y = 5(10)
y = 50 in. <== longer piece
Answer:
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
Step-by-step explanation:
<em>Step(i)</em>:-
<em>Given sample size 'n' =300</em>
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
<em>Given sample proportion </em>
<em> </em>
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
<em>90% confidence interval for the proportion is determined by</em>


(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
<u>final answer</u>:-
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
Answer:
86
Step-by-step explanation:
let four consecutive integers: n , n+1 , n+2 , n+3
n + n+1 + n+2 + n+3 = 342
4n + 6 = 342
4n + 6 - 6 = 342 - 6
4n = 336
divid by : 4
n = 84
but the third term is : n +2 so : 84+2 = 86
Answer:
$831,532.24
Step-by-step explanation:
The amount that will be in her account at ordinary annuity is derived using the formula:

Where:
Yearly Deposit,P=$2000
Annual rate,r=8.8%=0.088
Number of Years,n=43 years
![A(43) = \dfrac{2000((1 + 0.088)^{43}-1)}{0.088}\\\dfrac{2000[(1 .088)^{43}-1]}{0.088}\\A(43)=\$831,532.24](https://tex.z-dn.net/?f=A%2843%29%20%3D%20%5Cdfrac%7B2000%28%281%20%2B%200.088%29%5E%7B43%7D-1%29%7D%7B0.088%7D%5C%5C%5Cdfrac%7B2000%5B%281%20.088%29%5E%7B43%7D-1%5D%7D%7B0.088%7D%5C%5CA%2843%29%3D%5C%24831%2C532.24)
At the end of 43 years, she would have <u>$831,532.24</u> in her account.