Answer:
-12.75 , -22
Step-by-step explanation:
8x - 6y = 30
8x = 30 + 6y
-20 - 16x + 7y = 30
-2(30 + 6y) + 7y = 50
-5y = 50+60
y = -22
7x = 30 - 6(22) = -102
x = -12.75
Answer:
0.9964 is the probability that at least one of them meets specifications.
Step-by-step explanation:
We are given the following in the question:
B: Bolts meet the specification
N: Nails meet the specification
P(B) = 96% = 0.96
P(N) = 91% = 0.91
One bolt and one nail are chosen independently.
Thus, we can write

We have to find the probability that at least one of them meets specifications.

0.9964 is the probability that at least one of them meets specifications.
Answer:

Step-by-step explanation:
To solve the quadratic, use inverse operations to set it equal to 0.

To solve, use the quadratic formula and substitute a= -5, b= 7 and c= 9.

We can find angle STN through sum of angles in a triangle.
180 - 90 - 32 = 59 degrees.
Therefore, x is 59 degrees because they are alternate angles, indicated by the Z shape.
We can work out angle MNT by sum of angles in a line.
180 - 59 = 121 degrees.
3y + 4 = 121
3y = 117
y = 39