Answer: 0.064
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.
Given : The proportion of the homes constructed in the Quail Creek area include a security system : 
Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-
Hence, the probability all three of the selected homes have a security system = 0.064
The prime factorization of 343 is 7^3. So the cube root of 343 (7^3) is just 7.
Irrational: Cannot be expressed in the form of a/b. 7/1 = 7 No
Rational: Can be expressed in the form of a/b. 7/1 = 7 Yes
Integer: Set of all negative and positive numbers (not a fraction). 7 is a positive number. Yes
Whole: Set of numbers ranging from 0 to infinity (not a fraction). 7 is a positive whole number. Yes
Natural: Set of all positive numbers from 1 to infinity (not a fraction). 7 is positive. Yes
We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
Answer:
The midpoint is ( 2,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-2+6)/2 =4/2 =2
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
( 1+-3)/2 = -2/2 = -1
The midpoint is ( 2,-1)
