Answer:
Standard score z=0.07
Step-by-step explanation:
The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.
For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:
This value is 0.07 standard deviations right to the mean.
In the picture attached, we have located the z-score.
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.
The length is 3 more than the width:
We can now substitute in as
in the equation
.
Distribute the first terms:
Combine like terms:
Subtract 6 from both sides:
Divide both sides by 4:
Now we know that w = 4. We can now substitute this inside an equation to find .
Hope this helped!