Answer:
An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960
Step-by-step explanation:
For example, Condition 1: n(.05)≤N
• The sample size (10) is less than 5% of the population (millions of musicians), so
the condition is met.
• Condition 2: np(1-p)≥10
• =
2
10
= .2
• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not
met.
It would not be practical to construct the confidence interval.
Hey there :)
The perimeter formula of a trapezium is:
P = a + b + c + d ( adding all sides )
Perimeter is given : P = 17z³ + 60z² + 2z - 5
Part A :
Total lengths of sides 1, 2 and 3 will be just adding the given lengths :
1 → 16z² - 4z + 2
2 → 7z² - 2z + 21
3 → 18z² - 3z + 2
side 1 + side 2 + side 3
( 16z² - 4z + 2 ) + ( 7z² - 2z + 21 ) + ( 18z² - 3z + 2 )
Combine like terms together:
16z² + 7z² + 18z² - 4z - 2z - 3z + 2 +21 + 2
41z² - 9z + 25Part B:
Length of 4th side will be the total perimeter minus the total length of sides 1, 2 and 3:
( 17z³ + 60z² + 2z - 5 ) - ( 41z² - 9z + 25 )
Combine like terms
17z³ + 60z² - 41z² + 2z + 9z - 5 - 25
17z³ + 19z² + 11z - 30
Part C:
Addition of polynomials result in polynomials as well as subtraction of polynomials result in polynomials.
Therefore, this polynomial is closed under addition and subtraction.
Answer:
8b-5=6b+23
8b-6b=23+5
2b=28
b=14
Step-by-step explanation:
The equation is provided below:
x = cost of DVD player
3x = cost of the movies
$532 = total amount purchased for the DVD player and the movies
$532 = x + 3x
$532 = 4x
$532 / 4 = 4x / 4
$133 = x (cost of the DVD player)
$133 * 3 = $399 (cost of the movies)
To check if the equation is correct:
$532 = $133 + ( 3 * $133)
$532 = $133 + $399
$532 = $532
The correct answer for the cost of the movies will be $399.