Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is
We need to solve the above equation by finding the zeros of
The vertex form of an absolute function is
where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.
Add 3 on both sides.
Add 2 on both sides.
and 
and 
Therefore the solution of given equation are -1 and 5.
Answer:
c=13.42
Step-by-step explanation:
Solution :
The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.
Null hypothesis, 
That is the loaded die behaves as a fair die.
Alternative hypothesis, 
: loaded die behave differently than the fair die.
Number of attempts , n = 200
Expected frequency, 
Test statistics, 
≈ 5.8
Degrees of freedom, df = n - 1
= 6 - 1
= 5
Level of significance, α = 0.10
At α = 0.10 with df = 5, the critical value from the chi square table
= 9.236
Thus the critical value is 
![$P \text{ value} = P[x^2_{df} \geq x^2]$](https://tex.z-dn.net/?f=%24P%20%5Ctext%7B%20value%7D%20%3D%20P%5Bx%5E2_%7Bdf%7D%20%5Cgeq%20x%5E2%5D%24)
![$=P[x^2_5\geq 5.80]$](https://tex.z-dn.net/?f=%24%3DP%5Bx%5E2_5%5Cgeq%205.80%5D%24)
= chi dist (5.80, 5)
= 0.3262
Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject 
at 10% LOS.
Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.
Answer:
1/3x + 5
Step-by-step explanation:
This equation changes 1 y for every 3 x and therefore we get 1/3x. This equation will cross the y axis in point(0,5) and we get + 5 for when x = 0
Answer:
55%
Step-by-step explanation:
In this question, the scenario is that Ms Grant made a presentation to the company that made her pay rise from $18 an hour to $27.90 an hour. We are now asked to find the percentage increase.
Mathematically, to get this, all we need to do is to subtract the old value from the new value, divided by the new value and multiplied by 100%. What we are saying here is that:
(New value - old value)/old value * 100%
(27.90 - 18)/18 * 100%
9.9/18 * 100%
That equals 990/18 = 55%
This means Ms Grant’s pay increased by 55%
