Answer:
74 feet and 6 feet
Step-by-step explanation:
Mentioned that
The Length of the dog park is = (8x + 2)............(i)
And,
The Width of the park is = (2x -12)..................(ii)
Perimeter = 160 feet
Now here we use the perimeter formula which is
Perimeter is
= 2 (length + width)
160 = 2 (8x + 2 + 2x - 12)
160 = 2 (10x - 10)
160 = 20x - 20
180 = 20x
x = 9
Now put the x value into the equation 1 and equaton 2
For the equaton 1, the length us
= 8x + 2
= 8(9) + 2
= 74 feet
And, the width is
= 2x - 12
= 2(9) - 12
= 18 - 12
= 6 feet
Range, Maximum, and y-intercept
Answer:
Step-by-step explanation:
Area of a trapezoid = h x (b1+ b2)/2
h= height
b1 and b2 are the bases
Answer:
0.5
Step-by-step explanation:
Given that height of 7 year old children are normally distributed with mean =49 inches and std deviation = 2inches
Brenda is 50 inches tall
This means her X score is 50
To convert this X score to Z score we use the formula given below
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Here we know all the values of x, mu and sigma
Just substitute
Z score
=![\frac{50-49}{2} =\frac{1}{2} \\=0.5](https://tex.z-dn.net/?f=%5Cfrac%7B50-49%7D%7B2%7D%20%3D%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%3D0.5)
Thus Z score of Brenda is 0.5