Answer:
infinitely many solutions
Answer: - 19/4
Step-by-step explanation:
To find the slope , all we need to do is to write the equation in the form y = mx + c , where m is the slope and c is the y - intercept.
That means we need to make y the subject of the formula in the equation.
4y = 152 - 19x
Divide through by 4
y = 152/4 - 19x/4
y = 38 - 19x/4
Therefore the slope is -19/4
Answer:
6.23% probability that the fourth part retrieved from stock is the first defective
Step-by-step explanation:
For each part, we have that:
8% probability of being defective.
100-8 = 92% probability of not being defective.
The parts are independent of each other.
What is the probability that the fourth part retrieved from stock is the first defective?
The first three work correctly, each one with a 92% probability.
The fourth is defective, with an 8% probability.
P = 0.92*0.92*0.92*0.08 = 0.0623
6.23% probability that the fourth part retrieved from stock is the first defective
Answer:
Width = 7 cm
Length = 15 cm
Step-by-step explanation:
Let width = w
Length = w + 8
Area of rectangle = 105 sq. cm
length * breadth = 105
(w + 8)*w = 105
Use distributive property
w² + 8w = 105
w² + 8w - 105 = 0
Sum = 8
Product = -105
Factors = 15 , -7 {15 +(-7) = 8 & 15*(-7) = -105}
w² - 7m + 15m - 105 = 0
w(w - 7) + 15(m - 7) = 0
(w - 7)(w + 15) = 0
Ignore w + 15= 0 as measurements will not be in negative value
w - 7 = 0
w = 7
Width = 7 cm
Length = 7 + 8 = 15 cm
Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
