Answer:
Step-by-step explanation:
If repeated sample sizes of large sizes are taken at random, and proportion P is calculated for samples the sample mean will have a normal distribution irrespective of the original distribution.
In other words, the sample proportion will follow a normal distribution with mean = p-hat and std deviation =
This is a direct corrollary of central limit theorem for sample means.
Hence we have irrespective of sample size, sample proportion will have expected value same as p-hat.
So whether sample size is 500 or 100 the p hat will have the same distribution.
1) 180° - 146° = 34
9х - 2 = 34
9х = 34 + 2
9х = 36
х = 36 : 9
х = 4
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2) (9х - 2) + (6у + 44) = 180°
(9 * 4 - 2) + (6у + 44) = 180
(36 - 2) + (6у + 44) = 180
34 + 6у + 44 = 180
6у = 180 - 34 - 44
6у = 102
у = 102 : 6
у = 17
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Answer:
= 5.196 i
Step-by-step explanation:
The problem tells us to find the square root of -98 +71
√(-98 + 71)
= √(-27)
Which is an imaginary number
=√(-3^3)
Lets remember that, √(-1) = i
= i*3√(3)
= 5.196 i
Please see attached image for more information
Top equation, minus 10 both sides to get
3x-2y=-10
bottom equation, minus 4x both sides
5y-4x=8
-4x+5y=8
now elimiate y's
multiply top equation by 5 and bottom equaiton by 2 and add them together
15x-10y=-50
<u>-8x+10y=16 +</u>
7x+0y=-34
7x=-34
divide both sides by 7
x=-34/7
sub back
3x-2y=-10
3(-34/7)-2y=-10
(-102/7)-2y=-10
add (102/7) to both sides
-2y=-10+(102/7)
-2y=(-70/7)+(102/7)
-2y=32/7
divide both sides by -2, or times both sides by -1/2
y=-32/14
y=-16/7
(x,y)
(-34/7,-16/7)
