Answer:
to square a number you multiply the number by itself.
a positive number times a positive number is a positive number.
a negative number times a negative number is a negative number.
and if you are multiplying 2 numbers with the same sign they will always be a positive number.
(8,1);((-2,-6)
2•8-3•1>=12
16-3>=12
13>=12
2•(-2)-3(-6)>=12
-4+18>=12
14>=12
Area : 1050
Perimeter : 150
The total square footage 2,070 Sq Ft
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.
