Answer:
5unit
Step-by-step explanation: since area of rectangle = length*width
Here length is (x+2) and width is(2x+3)
(x+2)(2x+3)=91
On further solving
2x^2+75x-85=0
2x^2-10x+17x-85=0
2x(x-5)+17(x-5)=0
(2x+17)(x-5)=0
x=5unit
Answer:
Step-by-step explanation:
Hello!
The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.
You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:
P(X≤x₀)= 0.20
To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:
P(Z≤z₀)=0.20
z₀= -0.842
z₀= (x₀-μ)/σ
z₀*σ= (x₀-μ)
x₀= (z₀*σ)+μ
x₀= (-0.842*1.5)+65
x₀= 63.737 inches
I hope it helps!
Answer:
Calculate the determinant. Calculate the matrix of cofactors. Transpose the matrix of cofactors to obtain the adjugate matrix. Divide each entry of the adjugate matrix by the determinant to obtain the inverse.
Answer:
The perimeter is 12mm
Step-by-step explanation:
Plug 2 for s in P=6s so 6*2=12
