Answer:
12
Step-by-step explanation:
A straight line is equal to 180. The line AB is 180 degrees. This means 174 + angle = 180 for the angle between point D and B. It must be 6 degrees. This is the same angle as the angle between point A and C.
Line CD is also straight and equal to 180. On the line are the angles, 4k + 90 + 3k + 6 = 180. Solve for k by combining like terms and then using inverse oeprations.
4k + 90 + 3k + 6 = 180
7k + 96 = 180
7k = 84
k = 12
We have
First, we can combine like terms 3y and -7y to get -4y.
Then, we have
We could then subtract 8 on both sides to get
Finally, we isolate y completely by dividing both sides by -4, to get
Probability that 2 of the 10 chargers will be defective =0.35
Number of ways of selecting 10 chargers from 20 chargers is 20C10
20C10 = 184756
Number of ways of selecting 10 chargers from 20 = 184756
Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2
5C2 = 10
Since 2 defective chargers have been chosen, there remains 8 to choose
Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8
Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435
Probability that 2 of the 10 will be defective =
(10x6435)/184756
Probability that 2 of the 10 will be defective = 64350/184756
Probability that 2 of the 10 chargers will be defective =0.35
Learn more on probability here: brainly.com/question/24756209
Answer:
C
Step-by-step explanation:
The table shows a linear function.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table
m = 
= 4, thus
y = 4x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 → C
