To find the total price, we use this equation:
42 + 0.039(42)
We can make it simpler:
1.039(42)
Multiply:
43.638
Because we're rounding
The total price is $43.64
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
3(n+5) < 3/4(n)
The three is multiplied by n+5. Whenever you see "is equal to/greater/less than," that is where you put your =, >, or < signs. Your variable, "n" represents the number. So three-fourths of the number is the same as multiplying the number by three-fourths.
Answer:
The answer is explained below
Step-by-step explanation:
STEP 1
Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.
STEP 2
Manager can define the performance of a product using defects per million units DPMO metric
DPMO can be find by using
DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000
= 1500 - 1477/ 1 x 1500* 1,000,000
= 23/1500
= 15,333,33
The defect rate of the process can be find by
Defect rate = No. of defects/ No. of units * 100
= 1500 - 1477/1500 * 100
= 23/1500 * 100
= 1.53%
Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.