Factors of 50: 1, 2, 5, 10, 25, 50
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
The numbers common are: 5, 10, 25, 50
The numbers that are not common are: 1, 2
There are no solutions. By definition of absolute value, 
, so 
. The left side will always be positive, and a positive number cannot also be negative.
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
9514 1404 393
Answer:
6 3/10 pounds
Step-by-step explanation:
The weight change will be found by multiplying the rate of change by the time.
∆w = (-1.8 lb/h)(3.5 h) = -6.3 lb
The total change in weight after 3 1/2 hours is 6 3/10 = 6.3 pounds.
