Answer:
x = 3/2 ± 
/2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± /2
Answer:
for the first one its a=8
for the second one the answer is their is no solution
for the last one the answer is p = -1.
Step-by-step explanation for the last one:
1)Expand.
30-6p=16-20p
2) Subtract 16 from both sides.
30-6p-16=-20p
3 Simplify 30-6p-16 to -6p+14.
-6p+14=-20p
4 Add 6p to both sides.
14=-20p+6p
5 Simplify -20p + 6p to −14p.
14=-14p14=−14p
6 Divide both sides by−14.
-1=p
7 Switch sides.
p=-1
Answer:
Step-by-step explanation:
From the question we are told that:
Mean 
Variance 
Sample size 
Generally the equation for Chebyshev's Rule is mathematically given by
Where
Therefore
Probability
Yes, Dean is correct.
13% = 13/100 = 0.13
0.1 = 0.10
0.13 is greater than 0.10.
Answer:
Step-by-step explanation:
As with all word problems we first have to convert it to an equation or equations.
L = length of the Rectangle and W = its width
So L = 2 * W
A = area of the rectangle which is 128 cm^2
So A = L * W = 128 cm^2
substitute 2W for L from the 1st equation to give A = 2 * W * W = 2 * W^2 = 128 cm^2
Thus W^2 = 64 cm^2
finally W = 8 cm and therefore L = 2 * W = 16 cm
The perimeter P = 2 * (L+W) = 2* (8cm + 16cm) = 2 * 24cm = 48 cm
