Misspelled 14 to the 3rd power is 2744
Answer: We need 2.5 quarts of yellow paint.
Step-by-step explanation:
As per given, The ratio of blue paint to yellow paint is 
.
Total green paint = 
quarts
Quantity of yellow paint required = 
Hence, We need 2.5 quarts of yellow paint.
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
Answer:
Step-by-step explanation:
Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.
The probability function is p(x=k) = (1-p)^(n-1) * p
p = (1-defective rate)^(n-1) * defective rate; n=10
p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666
(a+b)² can also be written as (a+b) (a+b). When you expand this you get a²+2ab+b²
(a-b)² can also be written as (a-b) (a-b). When expanded this gives a²-2ab-b2
As you can see, this leads to different coefficients of the 'ab' values: for (a+B) ² its 2 for (a-b) ² its - 2
