Answer:
Step-by-step explanation:
Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.
Sample size =49
If x is the number of batteries not meeting specifications then
x is binomial with n =49 and p = 0.01
Because i) each toy is independent of the other
ii) There are only two outcomes
Probability whole shipment is accepted = Prob (X≤3)
=0.9885
Hence almost all shipments would be accepted.
The decimal representation of 1/11 is 0.090909...
The pair of digits '09' repeat forever.
If you start counting the digits after the decimal point,
the odd ones are all zero, and the even ones are all 9 .
So the 44th digit after the decimal point is 9 .
The slope is the coefficient of x when the coefficient of y is 1.
The slope is -0.5
The y-intercept is where x=0
y = 17 - 0.5 (0)
y = 17
The y-intercept is 17.
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
Answer:
y=-x-9
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-1(x-(-9))
y=-1(x+9)
y=-x-9
