To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:
This simplifies to:
This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.
hope this helps :)
(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
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:
a) 0.0002
b) 0.0057
c) 0.0364
Step-by-step explanation:
Lets start by stating the probabilities of a person belonging to each policy:
Standard: 0.3
Preferred: 0.5
Ultra- Preferred: 0.2
The probability of person belonging to each policy AND dying in the next year:
Standard: 0.3 x 0.015 = 0.0045
Preferred: 0.5 x 0.002 = 0.001
Ultra- Preferred: 0.2 x 0.001 = 0.0002
a) The probability a ultra - preferred policy holder dies in the next year is 0.001. To find the probability of a person being both a ultra - preferred policy holder AND die in the next year is: 0.001 x 0.2= 0.0002
b) The probability is given by adding the probabilities calculated before :
0.0045 + 0.001 + 0.0002 = 0.0057
c) We use the results above again. This is 0.0002 / (0.001 + 0.0045). The answer comes out to be 0.0364
Answer:
b. 28x + 8y +2
Step-by-step explanation:
you need to distribute the -2 to all the numbers inside parentheses and then combine like terms.
-2*3x= -6x
-2*12y= -24y
-2*-5= 10 (remember neg times neg = pos)
-2*17= 34x
-2*-16y=32y
-2*4= -8
Now combine like terms
34x-6x= 28x
32y-24y=8y
10-8=2
Write the expression: 28x + 8y +2
It would be D)
Hope this helps
