Answer:
Step-by-step explanation:
First we need to factorize the given area of the rectangle as shown;
Given
A(x) = x^2-10x+16
Factorize
A(x) = x²-8x-2x+16
A(x) = (x²-8x)-(2x+16)
A(x) = x(x-8)-2(x-8)
A(x) = (x-2)(x-8)
Since area of a rectangle = length ×width
Hence the binomial that represents the width of the pool is w(x) = x-2
b) If the width of the deck is 17feet
Width = x-2
17 = x-2
x = 17+2
x = 19feet
Get the length
Length = x-8
Length = 19-8
Length = 11
Get the perimeter
P = 2(L+W)
P = 2(17+11)
P =2(28)
P = 56feet
Perimeter of the deck is 56feet
Answer:median
Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!
Answer:
X = 4
Step-by-step explanation:
In the equation add 3 to both sides of the equation
1/2x-3+3=2-3/4x+3
Simplify
1/2x = -3/4x + 5
Add 3/4x to both sides
1/2x + 3/4x = -3/4x + 5 + 3/4x
Simplify
5/4x=5 Multiply both sides by 5
5x=20 divide both sides by 5
5x divided by 5 and 20 divided by 5
=4
3+p=8
-p -p
3=8-p
-8 -8
-5=-p
swap signs
5=p
Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
