Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
Answer:
2
Step-by-step explanation:
ok so let's start
were starting off with -3/4 and were adding 2 3/4 to that and it's equal to 2 3/4 subtract 3/4
-3/4 + 2 3/4 = 2 3/4 - 3/4
2 3/4 - 3/4 = 2
-3/4 + 2 3/4 = 2
it's 2 my dude or girl i don't know
Answer:
i think its (4, -4) hope that helps u :0
Step-by-step explanation:
Answer:
x=3, y=-2. (3, -2).
Step-by-step explanation:
4x+2y=8
5x+3y=9
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simplify 4x+2y=8 into 2x+y=4
-----------------
2x+y=4
5x+3y=9
----------------
y=4-2x
5x+3(4-2x)=9
5x+12-6x=9
-x=9-12
-x=-3
x=3
2(3)+y=4
6+y=4
y=4-6
y=-2
Answer:
(x, y) = ( 1/2, -3 )
Step-by-step explanation:
y = -3
3/2 - 1 - x + y = - 3
3/2 - 1 - x - 3 = - 3
x = 1/2
solution : (x , y ) = ( 1/2, -3)
here we are gonna see why is that answer :
-3 = 3/2 -1 - 1/2 - 3 = -3
-3 = -3 = -3
i hope this helps
