Answer:
The point P(1,-3) is not a solution to the system.
Step-by-step explanation:
Given 
Let a point be P(1,-3)
Here x = 1 ; y = -3
Substituting the values of x,y in the function
For y<x-1
-3 < 1-1
-3<0 (True)
now for,
y>-x+2
-3 > -1 + 2
-3 > 1 (False)
Hence the point is not a solution to the system.
Answer:
The required probability is 0.031918.
Step-by-step explanation:
Consider the provided information.
It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.
Therefore n=34
The probability it is either up or down is 0.5.
Thus the value of p =0.5 and q = 0.5
Now calculate the probability
Let X is the number of years that theory held.
X has a binomial distribution with n=34 and p=0.5
Hence, the required probability is 0.031918.
Answer:
15.50h + 50 > 400
Step-by-step explanation:
Given;
Weekly salary = $50 per week
Additional pay = $15.50 per hour
The variable h represent the number of hours worked per week
The total amount earn per week is;
Weekly salary + total additional pay per week
50 + 15.50h
To earn more than $400 this week, the total amount earned in a week must be greater than 400;
15.50h + 50 > 400
Solving the equation we have;
15.50h > 400-50
h > (400-50)/15.50
h > 22.58 hours per week.
Answer:
7238.23ft Cubed
Step-by-step explanation:
To get the answer you plug the value of the radius in to the equation >
V = 4/3πr³
Answer:
x = 5/4
Step-by-step explanation:
32^(x-1) = 16^(x/4)
(2^5)^(x-1) = (2^4)^(x/4) . . . . . express as powers of 2
2^(5x -5) = 2^x . . . . . . simplify
5x -5 = x . . . . . . equate exponents
4x = 5 . . . . . . . . add 5-x
x = 5/4
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Applicable rules of exponents are ...
(a^b)^c = a^(bc)
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Since this solution does not match any offered answer choice, we suggest you ask your teacher to show you how to work this problem.
