The sum of the m numbers divided by m (which is the average) equals n^2. Then, the sum of the m numbers equals mn^2.
The sum of the n numbers divided by n (which is the average) equals m^2. Then, the sum of the n numbers equals nm^2.
The average of m+n numbers which is the sum of the m numbers plus the sum of the n numbers divided by (m+n) equals (mn^2+nm^2)/(m+n). This is mn(n+m)/(m+n). Then the factor (m+n) can be ruled out and the result is mn.
Answer:
2(n - 6) >= 22
Step-by-step explanation:
2n - 12 >= 22
2n >= 22+12
2n >= 34
n >= 34/2
n >= 17
Answer:
A simple random sample without replacement (SRSWOR) of the people of the country aged 18 to 25 years.
Step-by-step explanation:
Matt wants to investigate the opinions of young adults in the country, aged 18 years to 25 years about time spent playing video games. He plans to administer a survey to a sample of people. The following may be a suitable sample :-
A simple random sample without replacement (SRSWOR) of the people of the country aged 18 to 25 years.
Answer:
The original price of the shoes was $90.
Step-by-step explanation:
25% off means the price Joe paid for it is 75% of the original price.
Set up an equation:
75/100 = 67.50/x
Cross multiply
75 × x = 100 × 67.50
75x = 6750
x = 90
Check our work:
First solve for 25% off of 90 (our answer).
25% = 0.25
90 × 0.25 = 22.50
Next, subtract the discount from 90.
90 - 22.50 = 67.50
67.50 was what Joe paid so this is correct.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, 
⊥ 
, AP = 9, and PM = 16
² + 
² = ²
= 
+ PM = 9 + 16 = 25
= 25
² = ² + ² = 9² + ²
∴ ² = 9² + ²
Similarly we get;
² = 16² + ²
Therefore, we get;
² + ² = 9² + ² + 16² + ² = ² = 25²
2·² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From ² = 9² + ², we get
= √(9² + 12²) = 15
= 15
From, ² = 16² + ², we get;
= √(16² + 12²) = 20
= 20.
