Answer: 217 women should be sampled to attain an estimate with 95% confidence.
Step-by-step explanation:
Let s be the prior population standard deviation.
Formula to find the sample size: , E=Margin of error
Given: s= 3
E= 0.4
Critical zvalue for 95% = 1.96
So,
Hence, 217 women should be sampled to attain an estimate with 95% confidence.
y = 4x - 2
The equation of a line in ' slope- intercept form ' is
y = mx + c → (m is the slope and c the y- intercept )
To calculate m use the ' gradient formula '
m = (y₂ - y₁ )/(x₂ - x₁ )
let ( x₁, y₁ ) = (5, 18) and (x₂, y₂ ) = ( - 3, - 14 )
m = =
= 4
the partial equation is y = 4x + c
to find c substitute either of the 2 given points into the partial equation
using (5 , 18) then 18 = 20 + c ⇒ c = 18 - 20 = - 2
y = 4x - 2 is the equation in slope- intercept form
The answer is:
The area of the rhombus is equal to 64 squared inches.
Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:
From the image we can see that:
So, substituting, we have:
Hence, we have that the area of the rhombus is equal to 64 square inches.
Have a nice day!