Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
, where 
= Sample mean , 
= population mean, 
= population standard deviation, n= sample size.
As per given , n=10
= $29,056
= $3,339
= $31,650
Then,
Hence, the z-score = 2.46
The answer is possibly 5x=5. Or x=1.
Answer:
Domain: (-2 , 3]
Range: [-3, 2)
Step-by-step explanation:
Domain is all the x's on the graph. (If you have an equation, then it's all the numbers that are allowed to be x)
Range is all the y's on the graph (or if you have an equation, all the possible y outcomes)
Open dot endpoint means that point is not included in the set (domain and range are sets of numbers) Closed dot means the point is included.
You didn't get this math question right. But look for all the x's for the domain, and all the y's for the range.
Answer:
Laura is 30 years old and Maria is 18 years old.
Step-by-step explanation:
Let x be the present age of Laura and y be that of Maria.
Laura was 3 times older than Maria when Laura had Maria's present age.
Lets say Laura had Maria's present age(y) k years before.Then Maria's age at that time will be y-k where k=(x-y).
Then:
y=3(y-k)
y=3(y-(x-y))
y=3(2y-x)
3x=5y -------1
After two years Laura will become x+2 years old and 2 years ago Maria was y-2 years old. Then:
x+2=2(y-2)
x=2y-6--------2
Solving 1 and 2 we get:
x=30 and y=18
Hence Laura's present age is 30 and Maria's present age is 18.
