34.9 because its 90 angle so you subtract the 55.1
The probability of NOT getting a 1 or a 9 means you have to subtract those two numbers and how many of each are out. Once you do that, count the remaining numbers, put them as the numerator, and then put the overall total of numbers as the denominator. Your answer is 7/9.
Y = 3000x + 28000
y = 2800x + 30000
3000x + 28000 = 2800x + 30000
200x = 2000
x = 10
The salaries will be the same after 10 years.
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.
