Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 514
The sample proportion is
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 99% confidence interval is mathematically represented as
=>
5x+3-4x=15-4x+3
x+3=18-4x
5x+3=18
5x=15
x=3
Answer:
11 positive integers can be expressed.
Step-by-step explanation:
Consider the provided information.
The number of possible prime numbers are 5,7,11,and 13.
There are 4 possible prime numbers.
How many positive integers can be expressed as a product of two or more of the prime numbers, that means there can be product of two numbers, three number or four numbers.
The formula to calculate combinations is:
The number of ways are:
Hence, 11 positive integers can be expressed.
-6° C = 21.2° F
I used a unit calculator- they are extremely helpful
Answer:
The answer to your question is (x - 4)² + (y - 5)² = 100
Step-by-step explanation:
Data
Point = (-2, -3)
Midpoint = (4, 5)
Process
1.- Find the length of the radius using the formula of the distance between two points.
dPM =
x1 = -2 y1 = -3 x2 = 4 y2 = 5
dPM =
dPM =
dPM =
dPM =
dPM = 10
2.- Find the equation of the line
(x - h)² + (y - k)² = r²
h = 4
k = 5
r = 10
(x - 4)² + (y - 5)² = 10²
(x - 4)² + (y - 5)² = 100