Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

Answer:
Area covered by each girl = 2.5 acre
Step-by-step explanation:
Given:
Number of girls = 2
Total area = 5 acre
Find:
How much area covered by each girl
Computation:
Area covered by each girl = Total area / Number of girls
Area covered by each girl = 5 / 2
Area covered by each girl = 2.5 acre
We all know, savings account have "Compound Interest"
So, Here, On $100 deposit, amount of Interest = $12
So, for $50, it would be: $6
Then, for $300, it is: $36
b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t
A = 200(1 + 0.03)^1
A = 200(1.03)
A = $206
Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Hope this helps!
Answer:
84 has 12 factors: 1, 84; 2, 42; 3, 26; 4, 21; 6, 14; 7, 12.
96 has 12 factors: 1, 96; 2, 48; 3, 32; 4, 24; 6, 16; 8, 12.