Let S be the number of Brand S snowboards sold.
Let B be the number of Brand B snowboards sold.
309S + 489B = 4299
S + B = 11
S = 6 snowboards sold
B = 5 snowboards sold
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:
Associative
Step-by-step explanation:
When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.
Answer:
A. Converse
Step-by-step explanation:
The statement x=y and y=z is a
converse relation
In logic, there are different types of relation which includes
1. Inverse
2. Contrapositive inverse
3.converse
The converse is created by switching the hypothesis and conclusion just like the example given.
3 is the right number in the coordinate pair, hence it it the range.