Answer:
The smaller number can be 8 or
.
Step-by-step explanation:
Consider the provided information.
let the larger number is x and the smaller number is y
A positive number is 3 times another number.

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.
Case I: If 2nd number is 2 times to the first number.

Substitute the value of x.


Now substitute the value of y in 


Therefore, the smaller number is 8.
Case II: If 1st number is 2 times to the second number.

Substitute the value of x.




Therefore, the smaller number is
.
Answer:
18
Step-by-step explanation:
The greatest common factor is 18. All of the common factors are: 1, 2, 3, 6, 9, 18.
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Step-by-step explanation:
I don't get the question a bit but I hope this makes sense
:)
Answer: X = 2
Step-by-step explanation: There is only one solution