Answer:
≈ 7.6
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)
d = 
= 
= 
=
≈ 7.6 ( to the nearest tenth )
Answer:
Step-by-step explanation:
X no of questions student answers is binomial with n =40 and p =0.5
If approximated to normal, X is Normal with
mean = np = 20 and variance = npq = 10
P(X>N) >0.10
We use std normal distribution table to get z value first then convert to x value

So 
This is with continuity correction.
Hence without continuity correction this equals 7.2-0.5 = 6.7
x>6.7
n = 7
Answer:
the algebraic expression for the phrase 4 divided by the sum of 4 and a number is 
Step-by-step explanation:
Translate the following phrase into an algebraic expression.
We will use x to describe the unknown.
The phrase is: 4 divided by the sum of 4 and a number
The sum of 4 and a number can be written as: 4+x
4 divided by the sum of 4 and a number can be written into algebraic expression as: 
So, the algebraic expression for the phrase 4 divided by the sum of 4 and a number is 