Answer:
Statement 1: (x-3)/6=-2 (you should always start with the given or other people won't know what you are trying to do)
Statement 2: x-3=-12
Statement 3: x=-9
You should be able to figure out the reasons for 2 and 3. If not, let me know.
Answer:
385
Step-by-step explanation:
Given that :
Mean, m = 500
Standard deviation, s = 100
Zcritical at 95% = 1.96
Confidence interval, C2 - C1 ; 510 - 490
Using the relation :
n = (2 * Zcritical * s) / (C2 - C1)
n = sample size
n = [(2 * 1.96 * 100) / (510 - 490)]^2
n = (392 / 20)^2
n = 19.6²
n = 384.16
n = 385
Answer:
x = 1 / 3
x = -1.5
Step-by-step explanation:
First move everything onto one side.
6x^2 + 7x - 3 = 0
Divide by 6:
x^2 + 7/6x - 0.5 = 0
Now, you can move the 0.5 to the other side because it is determined that this is not factorable.
x^2 + 7/6x = 0.5
Now you have to complete the square.
Take 1 / 2 of 7 / 6 and square it.
49 / 144
x^2 + 7/6x + 49/144 = 0.5 + 49/144
(x + 7 / 12)^2 = 121 / 144
Square root:
x + 7 / 12 = ±11 / 12
x = 1 / 3, x = -1.5
Answer:
Check below
Step-by-step explanation:
Volume of rectangular prism 
Area of parallelogram 
Circumference of a circle 
Area of a circle 
Area of a triangle 
Area of a tra-pezoid 
Perimeter of a quadrilateral 
