Answer:
The <u>sample proportion</u>, denoted by ^p, is given by the formula ^p= 
, where x is the number of individuals with a specified characteristic in a sample of n individuals.
Step-by-step explanation:
Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.
<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation
where
- p is the sample proportion
And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2.
Step-by-step explanation:
i got my rerecord from my flash cards my teacher made of some answers
The answer is to solve each expression.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
We can set the length of a leg as an unknown variable 
.
Remember that it is the whole 
term being squared, meaning that it'll simplify to 
, not 
.
This means we can plug back in to find the sides.
The hypotenuse would be 
, or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
