Answer:
D. y = 4x − 3
Step-by-step explanation:
Just took the test and got 100%
Answer:
y -11 = 2(x -3)
Step-by-step explanation:
The slope of the given line is the x-coefficient: 2. The parallel line will have the same slope.
When you know the slope and a point on the line, it is convenient to use the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Your line's equation is ...
y -11 = 2(x -3)
Answer:
94 degrees
Step-by-step explanation:
Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.
The angle of the arc of an inscribed angle is twice the value of the angle creating it.
Because the distance from the opposite side of the circle is twice longer than coming from the center to create the same arc.
So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, subtract the numbers in the parentheses, then multiply by 11.
(12 - 9) = (3)
3 x 11 = 33
19 + 11 - 12^2 ÷ 3(33) - 7
Now, just multiply 33 by 3, and then square 12 (12 x 12).
19 + 11 - 144 ÷ 99 - 7
Now, you can divide 144 by 99, this is an infinite number, so..
144 ÷ 99 = 1.455
19 + 11 - 1.455 - 7
Finally add, then subtract.
30 - 1.455 - 7
28.545 - 7
The final answer is 21.545.
