Answer: 2x-1/4
Step-by-step explanation: Simplify the expression.
Hope this help you out.
Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
Answer:
Probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Step-by-step explanation:
The complete question is:
Online By Mail Total
Male 12 8 20
Female 24 6 30
Total 36 14 50
A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.
Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)
P(Pays bill by mail/Customer is female) = 
Now, Probability that customer is female = 
Also, Probability that customer pays bill by mail and is female =
So, Required probability = 
= 
= 
= 0.20
Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Formula for finding percent change (increase or decrease) is amount of the change divided by the original amount.
Here, the amount of the change is 50 and the original amount is 250.
50/250= 0.2
Multiply by 100 to get percent.
20% decrease (because budget went down)
Answer:
3/5
Step-by-step explanation:
72/2 =36
120/2 =60
=36/60
36/2 = 18
60/2 = 30
=18/30
18/2=9
30/2 =15
= 9/15
9/3=3
15/3 =5
= 3/5
