Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where 
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000
z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :
Hence, the required 90% interval = (0.5496, 0.5754)
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Answer:
$125
Step-by-step explanation:
Since there are 12 months in a year, divide the total bill by the total number of months.
1500/12 = $125
Step-by-step explanation:
sin(x) = M, M > 0
= sin(x - π)
= sin(x)cos(π) - cos(x)sin(π)
= sin(x).(-1) - cos(x).0
= -sin(x) - 0
= -sin(x)
= -M
Answer:
2
Step-by-step explanation:
Rise is 10 run is 5 Rate of Change is rise over run.
