Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test

Versus

Use α = 0.05. Find the P-value for the test
Answer:
The p-value is
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as

=> 
=> 
Generally the standard Error is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to -0.5317 is

Generally the p-value is mathematically represented as

=> 
=>
Answer:
D
Step-by-step explanation:
Parallel lines have the same gradient.
A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.
If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.
AB= -1


Thus, option B is incorrect too.
Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.
Answer:
36
Step-by-step explanation:
Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.
Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.
Apply triangle formula, base x height divided by 2.

Area of rectangle is length x width so the area is

Subtract 6 from 42.

Answer:
Example Problem
Solve 2x+3=15.
Example Answer
x=6
How to Check Your Answer with Algebra Calculator
First go to the Algebra Calculator main page.
Type the following:
First type the equation 2x+3=15.
Then type the @ symbol.
Then type x=6.
Try it now: 2x+3=15 @ x=6
Step-by-step explanation:
Answer:
C.y = 3x + 4
Step-by-step explanation:
We have two points, so we can find the slope
m = (y2-y1)/ (x2-x1)
= (7--2)/ (1--2)
= (7+2)/(1+2)
= 9/3
=3
The slope is 3
We can find the point slope form of the line
y-y1 = m(x-x1)
y-7 = 3(x-1)
Distribute
y-7 =3x-3
Add 7 to each side
y-7+7 = 3x-3+7
y = 3x+4
This is in slope intercept form (y=mx+b)