Answer:
7.(1,0) and (-4,0)
8. (-3,0) and (-2,0)
Step-by-step explanation:
7.
When the function is equal to zero, we are looking for the zeros, or the x intercepts
Where it crosses the x axis are 1 and -4
(1,0) and (-4,0)
8. When the function is equal to zero, we are looking for the zeros, or the x intercepts
Where it crosses the x axis are -3 and -2
(-3,0) and (-2,0)
A=-3y/x+48/x
Hope this helps
.45 is 45/100 (simplify) 9/20
1/2 is already simplest form of fraction.
Z is 40 x is 15 and 4 is 40
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.
