Answer:
A is correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>7.5% less than 120 </u>
- 120 - 7.5% of 120 =
- 120(1 - 7.5/100) =
- 120*0.925 =
- 111
Answer:
m = 0.667
Step-by-step explanation:
Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.
Calculate the graph plot coordinates for 4x - 6y = 14
Solve 4x - 6y = 14 for x and also for y.
Calculate and show the solution for the slope of 4x - 6y = 14
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
4x - 6y = 14
4x - 6(0) = 14
x1 = 3.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 6y = 14
4(0) - 6y = 14
y2 = -2.333 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:
(x1,y1) and (x2,y2)
(3.5,0) and (0,-2.333)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14
m = (y2 - y1)/(x2 - x1)
m = (-2.333 - 0)/(0 - 3.5)
m = 0.667
hope this is correct! c:
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
![\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D%261%262%263%264%265%266%5C%5C--%26--%26--%26--%26--%26--%26--%5C%5C1%5C%3B%7C%261%262%263%264%265%266%5C%5C2%5C%3B%7C%262%262%263%264%265%266%5C%5C3%5C%3B%7C%263%263%263%264%265%266%5C%5C4%5C%3B%7C%264%264%264%264%265%266%5C%5C5%5C%3B%7C%265%265%265%265%265%266%5C%5C6%5C%3B%7C%266%266%266%266%266%266%5Cend%7Barray%7D%5Cright%5D)
From this table we can compute the probabilities
:
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722
Answer:
Rational
Step-by-step explanation:
The definition of rational is that it can be written as a fraction where the top and bottom are integers (the bottom integer not 0).
--
43/10 is written in that form since 43 and 10 are both integers.
