<u>Answer:</u>
The chance that any single department is chosen for auditing in a given week is 0.04%
<u>Explanation:</u>
Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.
Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments
which is equal to 1/25
1/25 = 0.04%
which is the chance of percentage of choosing a department
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
Answer:
Normally, sequences don't go behind 1, but let's see for this one.
f(-1) = 1
Step-by-step explanation:
Let's sub for -1 in x.
f(-1) = 2(-1) + 3.
f(-1) = -2 + 3
f(-1) = 1
:)
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
Answer:
Average rate of change for the function 
over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is:
The formula used to find average rate of change is:
We have, a = -1 and b = 1
Finding f(b) when b=1
Now, finding f(a), when a= -1
Now, putting values and finding average rate of change
So, average rate of change for the function over the interval -1<x<1 is -1
