Answer:
-2.65
Step-by-step explanation:
-1.2 - 1.45 = -2.65
you could just simplify fraction into decimal and use calculator
16<ac<24
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
Answer:
Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 × ) = N ( 50, )
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50, )
Using Chebyshev's inequality:
Let assume that X has a symmetric distribution:
Then:
where: ()