Answer:
Step-by-step explanation:
Given:
The given equation of the line that passes through the point (4, 0).
Part A.
The equation of the line.
-----------(1)
Where:
m = Slope of the line
c = y-intercept
The given equation of the line.
Comparing the given equation with equation 1.
The slope of the line is and y-intercept
We know that the slope of the perpendicular line is .
So the slope of the perpendicular line is .
Using point slope formula we write the equation of the perpendicular line that passes through the point (4, 0).
Now we substitute the slope of the perpendicular line and from point (4, 0) in above equation.
Therefore the perpendicular line equation is .
Part B.
1. The slope of the perpendicular line is .
2. The y-intercept of the perpendicular line is 6.
3. The equation of the line is perpendicular to the equation of line .
<u>Answer:</u>
<h2>D. 72 inches</h2><h2>E. 77 inches</h2>
<u>Explanation:</u>
5.65 ft = 67.8 in
given: Daniel's dad is <u>more than</u> 5.65 ft
hence 72 in and 77 in are the answers that apply
The wording of the question is a little strange. The percentage of dog owners is already estimated at 52%, so no simulation seems useful for that. However, if you want to simulate dog ownership within any given household, you want to apply some algorithm to the given numbers so that about 52% of the time you will see the equivalent of "owns at least one dog."
We assume the numbers are uniformly distributed on 00000 .. 99999. You could, for example, take 4 of the 5-digit numbers (20 digits total), divide them into pairs of digits, and declare "owns at least one dog" if the pair of digits is 51 or less.
For example, the first set of 4 numbers so divided will be ...
95 91 15 52 41 74 05 34 10 02
and "owns at least one dog" would then be ...
no no yes no yes no yes yes yes yes . . . 6 of the 10 simulated households
_____
This sort of approach can work well if you're simulating something described by a percentage. If there is some other ratio involved, say 3 out of 248, then you could throw out any number that is 99944 or higher (403*248) and look at the remainder when dividing by 248. If it is 2 or less, your condition is satisfied.
Making use of random number tables is a bit of an art. The idea is to choose the algorithm for processing the numbers so that the desired distribution is obtained. If the desired distribution is non-uniform, then there are ways to apply functions to the numbers or simply put them in bins of different width so that you get the desired simulated result.
Answer:
a=12
Step-by-step explanation:
7a+18=102
first, subtract 18 FROM BOTH SIDES!
then you get 7a=84.
next, divide BOTH SIDES by 7
and you get a =12 :)
The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:
Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
Now, just multiply: