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:f=99
Step-by-step explanation
solve for f by simplifying both sides of the equation, then isolating the variable.
Find the area of the first dish: since it's a square multiply the side by the side: 8•8=64. Find the area of the second dish: 9•9=81. Now subtract the first one for the second one: 81-64=17 square inches :)
Answer:
M=10
Step-by-step explanation:
Hope this helped :3
it was hard to describe it typed so I drew it on the picture.
to find slope:
(x2-x1) / (y2 - y1)
here a website to help you find slope a little better :3
https://www.omnicalculator.com/math/slope
