How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10
2 answers:
Answer:
The system has one solution
Step-by-step explanation:
we have the system of equations
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
Multiply by 3 both sides to remove the fraction
Combine like terms
Simplify
<em>Find the value of y</em>
Simplify
The solution of the system is the point
therefore
The system has one solution
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Answer:
2500 numbers
Step-by-step explanation:
Problem;
Solving for the number of 5-digit numbers divisible either by 45 or 60 but not divisible by 90;
Let us approach this in a step wise manner;
5 -digits numbers ranges from 10,000 to 99,999
To solve this problem, let us find the number of digits that are divisible by 45;
the first number divisible by 45 within this range is 10035
the last number divisible by 45 in this range is 99990
increment is 45
The total number in this range is:
+ 1 =
+ 1
= 2000 numbers
To solve this problem, let us find the number of digits that are divisible by 60;
the first number divisible by 60 within this range is 10020
the last number divisible by in this range is 99960
increment is 60
The total number in this range is:
+ 1 =
+ 1
= 1500 numbers
To solve this problem, let us find the number of digits that are divisible by 90;
the first number divisible by 90 within this range is 10080
the last number divisible by in this range is 99990
increment is 90
The total number in this range is:
+ 1 =
+ 1
= 1000 numbers
Now solution:
Number of 5 digits = number of 45 + number of 60 - number of 90
= 2000 + 1500 - 1000
= 2500 numbers
We are looking for the probability :
Transform the law to standard normal like this:
The above formula is equivalent to this one:
From normal law table, we read the value of
.
Solving the above equation for the score n:
, it is the score we are looking for.
Transform the law to standard normal like this:
The above formula is equivalent to this one:
From normal law table, we read the value of
Solving the above equation for the score n: