The ratios that are equivalent to 5/20ths, are 1/4th and 25/100ths.
The product means multiplication.
An expression does not have an equal sign.
83 * x
83x
Answer: 83x
Answer:
Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.
: 
Alternative hypothesis: the variance in hours of usage for talking is greater than the the variance in hours of usage for internet.



Step-by-step explanation:
Let
and
be the two variables that represents the battery life in hours for talking usage and battery life in hours for internet usage respectively.
The hypothesis can be formulated as:
Null hypothesis: the variance in hours of usage for talking is not greater than the the variance in hours of usage for internet.
: 
Alternative hypothesis: the variance in hours of usage for talking is greater than the the variance in hours of usage for internet.

The standard deviation for the battery usage for talking is :

The standard deviation Is:




The standard deviation for the battery life usage for the internet is :




Thus; the standard deviation is:




Answer:
The area of the given polygon is:
Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
- Area of a rectangle = Base * height
Now, we're gonna replace the measurements in the formula.
<em>First rectangle:</em>
- Area of a rectangle = 3 cm * 14 cm
- <u>Area of a rectangle = 42 cm^2</u>
<em>Second rectangle:</em>
- Area of a rectangle = 5 cm * 14 cm
- <u>Area of a rectangle = 70 cm^2</u>
<em>Third rectangle:</em>
- Area of a rectangle = 12 cm * 10 cm
- <u>Area of a rectangle = 120 cm^2</u>
By last, we must add the area of the rectangles:
- Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
- <u>Area of the polygon = 232 cm^2</u>
As you can see, <em><u>the area of the polygon in the picture is 232 cm^2</u></em>.
The equation is f(x) = 4x^2 - 4.
You can find this by using an equation with parenthesis that equal each of the zeros.
f(x) = (x - 1)(x + 1)
Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.
f(x) = c(x - 1)(x + 1)
Now we can find the constant by putting our vertex into the equation and solving.
f(x) = c(x - 1)(x + 1)
-4 = c(0 - 1)(0 + 1)
-4 = c(-1)(1)
-4 = -1c
c = 4
Now we put the c into the original equation and solve for standard form.
f(x) = 4(x - 1)(x + 1)
f(x) = 4(x^2 - 1)
f(x) = 4x^2 - 4