Answer:
The margin of error is 
Step-by-step explanation:
From the question we are told that
The number of student is 
The highest amount is 
$200
The lowest amount is 
$75
The sample mean is 
&140
The Standard deviation of this set is mathematically evaluated as
Substituting values
The margin of error (ME) is mathematically evaluated as
Where 
is the critical value for 
i.e the significance level
From the critical value table this is 
So
(a+b) + c = a + (b + c)
re-arrange the numbers - associative property of addition
Answer
Associative property of addition
Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
note:xy=x times y and x(y) =x times y
x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2
x+1=0
subtract 1
x=-1
x could be -1 or -2
x=-2, or -1
Answer:
model: 
profit in year 2017: 
Step-by-step explanation:
The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:
To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:
the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:
In the year 2017, we would have:
Answer:
Terminal point (0, -1); sin Ø = -1 ⇒ A
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis
- The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
- The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
- The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
- The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1
In a unit circle
∵ Ф = 270°
→ By using the 4th rule above
∴ The terminal point is (0, -1)
∴ sinФ = -1
∴ Terminal point (0, -1); sin Ø = -1
