Answer:
4 feet and 2 inches
Step-by-step explanation:
1 foot = 12 inches
x feet = 50 inches
1/12 = x/50 --> 50/12 --> 4 feet and 2 inches
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:
Equation: 25.81 = 6.55 + 3x
One Bag of Lemons: $6.42
Three Bags of Lemons: 19.26
Step-by-step explanation:
25.81 = 6.55 + 3x
-6.55 -6.55
19.26 = 3x
/3 /3
6.42 = x
Thus, he/she payed $6.42 for each bag of lemons and $19.26 for all three bags of lemons combined.
