Answer:

Step-by-step explanation:

To re-write the function by completing the square, the procedure is to first
(i)take the coefficient of x
(ii)Divide it by 2 and Square it
Coefficient of x=1
Divided by 2 = 1/2
Square of 1/2 = 
Next, we add it to the function and subtract same so that the equation remains balanced

Pick each of the squared term and square the sum


Answer:
61.25%
Step-by-step explanation:
percent = part/whole * 100%
percent = 98/160 * 100%
percent = 0.6125 * 100%
percent = 61.25%
Answer: 61.25%
Answer:
$11.25
Step-by-step explanation:
1.25 × 9 = 11.25
Answer:
Tire will be warranted for 
Step-by-step explanation:
We have given that tire is warranted for 63000 miles
We know that 1 mile = 5180 feet
So 
Diameter is given d = 2 feet
So radius 
Angular distance is given by 
Given Information:
number of trials = n = 1042
Probability of success = p = 0.80
Required Information:
Maximum usual value = μ + 2σ = ?
Minimum usual value = μ - 2σ = ?
Answer:
Maximum usual value = 859.51
Minimum usual value = 807.78
Step-by-step explanation:
In a binomial distribution, the mean μ is given by
μ = np
μ = 1042*0.80
μ = 833.6
The standard deviation is given by
σ = √np(1 - p)
σ = √1042*0.80(1 - 0.80)
σ = √833.6(0.20)
σ = 12.91
The Maximum and Minimum usual values are
μ + 2σ = 833.6 + 2*12.91
μ + 2σ = 833.6 + 25.82
μ + 2σ = 859.51
μ - 2σ = 833.6 - 25.82
μ - 2σ = 807.78
Therefore, the minimum usual value is 807.78 and maximum usual value is 859.51