Answer:
Step-by-step explanation:
Looking at y=-%282%2F3%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2%2F3 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -2%2F3, this means:
rise%2Frun=-2%2F3
which shows us that the rise is -2 and the run is 3. This means that to go from point to point, we can go down 2 and over 3
So starting at , go down 2 units
and to the right 3 units to get to the next point
Now draw a line through these points to graph y=-%282%2F3%29x%2B3
So this is the graph of y=-%282%2F3%29x%2B3 through the points and
Answer: a) 75 degrees. Why? This is given
b) 75. Same side Exterior and interior angles are congruent that are cut by a transversal. Theorem.
c) 75 degrees. See above.
Step-by-step explanation:
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that 
84% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Answer:
It would be 1/34 or 1/16.
Step-by-step explanation:
Add up how many kids there are in total and then see how many girls there are and write it like this: 18/34. Since it says a girl then you would do it as 1/34 or 1/16 it depends on how you look at it and or how you understand what the question is talking about.