The mean ( average ) is given as 1200 hours.
The standard deviation is 200, sample size is 100.
Find the standard error:
√(200^2 / 100) = 20
Now calculate the confidence interval. For 95% the Z number is 1.96
Multiply Z by the standard error:
1.96 x 20 =39.2
Now find the range that the mean should be within:
1200 - 39.2 = 1160.8
1200 + 39.2 = 1239.2
The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.
Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.
Adjusted gross income (AGI) is a person's
total gross income minus specific deductions. So, Florence can deduct an amount
of: .5 or 50% of 197130 = 98,565 is the maximum deduction which is less that
actual amount given for the charitable contributions.
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
To identify the y-intercept, we will need to format the equation in the form 
. We can start by subtracting 
from both sides of the equation:
Divide both sides of the equation by the coefficient of 
, which is 
:
The 
is representative of the y-intercept in .
Identify in the equation :
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the in the equation with a zero:
Add 
to both sides of the equation:
You can go ahead and divide 
by to get rid of the fraction:
Divide both sides of the equation by the coefficient of 
, which is 
:
Therefore, our x-intercept is 10.
Answer:
Quick answer: 1756
Step-by-step explanation:
I'll be commenting on my own answer with an easy to understand explanation on how I got this answer
Let the first digit of the 2-digit number be x and the second digit be y.
Then the ratio (x/y) equals (1/2). Write a formula for y in terms of x.
The tens digit is 2 more than the units digit. Using the letters x and y, write out the proper equation.
Now solve your two equations simultaneously for x and y.
