Answer:
x = 1/2 , x = -1/2
Step-by-step explanation:
Given equation;
169x² - 42.25
Find:
Solution of equation using square root
Computation:
169x² - 42.25
We know that 13² = 169 and 6.5² = 42.25
So,
[13x]² - [6.5]²
a² - b² = (a + b)(a - b)
So,
[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]
So,
13x + 6.5 = 0 , 13x - 6.5 = 0
x = 6.5 / 13 , x = -6.5 / 13
x = 1/2 , x = -1/2
If we have two points;
A(x₁,y₁)
B(x₂,y₂)
m=slope
m=(y₂-y₁) / (x₂-x₁)
Therefore:
(6,7)
(9,2)
m=(2-7) / (9-6)=-5/3.
Solution₁= the solpe of the line that passes through the poitns (6,7) and (9,2) is m=-5/3.
(17,9)
(5,29)
m=(29-9) / (5-17)=20/-12=-5/3
Solution ₂: the slope of the line that passes through the parir of points (17,9) and (5,29) is m=-5/3
Therefore, both lines have the same slope.
Solution: We are given the population mean 
Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.
The mean of shift 1 is:
The mean of shift 2 is:
The mean of shift 3 is:
The mean of shift 4 is:
We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.
1584 lightbulbs would be defective out of 4400
Answer:
Part A
Rectangle B has a B has a width of 4 inches and a length of 4 inches
Part B
The answers that apply are:
A. Rectangle A has an area of 15 square inches
C. Rectangle B has an area of 16 square inches
D. Rectangle B has a greater area than Rectangle A
Step-by-step explanation:
Let me know if you need any explanation
