The likelihood stands at 6 out of 120, or 1/20, equivalent to a 5% probability. You can calculate this by defining the total number of outcomes. When organizing items within a set, the factorial function on your calculator, denoted by "!", is a straightforward way to arrive at a solution. This function indicates the product of all integers less than that number down to 1 multiplied together. Therefore, since there are 5 letters in the word poker, we utilize 5! which can be expanded to 1*2*3*4*5 = 120. Next, we must identify how many combinations begin with k and conclude with p. There are precisely 6 such configurations: koerp, korep, kreop, kroep, kerop, and keorp. Finally, we divide the number of favorable outcomes by the total possibilities.
I believe this is the solution because you cannot go below 600, yet you also cannot exceed 2400.
The sum of angles for M /BCD is equal to m/FCD plus m /BCF.
This translates to 95 = x + 41 + x + 78, simplifying to 2x + 119.
Thus, solving gives us 2x = 95 - 119, resulting in -24, leading to x = -12.
Let
x--------> <span>the total number of sandwich lunch specials sold
y-------> </span><span>the total number of wrap lunch specials sold
it's given that
2x+3y=1470
Part 1) </span><span>Convert the equation into slope-intercept form. Determine the slope and y-intercept of the equation. Remember to document your calculations.
we know that
</span>the standard form for slope-intercept is
y=mx+b
thus
2x+3y=1470------> isolate y
3y=1470-2x-----> divide both sides by 3
y=(-2/3)x+1470/3
y=(-2/3)x+490
the slope m=-2/3
the y-intercept is 490
Part 2) <span>Explain how to graph this line using the slope-intercept technique. Be sure to write in full sentences.
</span><span>the slope is -2/3 and the y-intercept is 490
Mark the point (0,490)------> the y-intercept.
From the slope, move 3 squares to the right and 2 squares down, then mark that point, which is (0+3,490-2)--------> (3,488)
Connect the two points with a straight line
Part 3) </span>Express the equation in function notation. Describe what the function's graph signifies. Ensure you use full sentences.
In function notation, the equation is:
f(x)=(-2/3)x+490
The graph of this function illustrates how the function's value changes with respect to the value of x. Within the context of the question, this graph specifically denotes how many wraps could have been sold for every number of sandwiches sold, maintaining an identical profit of $1470.<span>
Part 4) </span>Create the graph of the function. Ensure to label the intercepts on the graph. You may either draw the equation manually on paper and scan it or utilize graphing technology
via a graphing tool
see the attached figure
Part 5) Assume Sal's overall profit from lunch specials for the following month is $1,593. The profit amounts remain constant: $2 for each sandwich and $3 for every wrap. In a paragraph with at least three complete sentences, clarify how the graphs for the two months' functions are alike and how they differ
we have that
2x+3y=1593
3y=1593-2x--------> y=(-2/3)x+531
slope=(-2/3)
y intercept=531
therefore
similarities: same slope
differences: y intercepts are different.
<span>This indicates that the lines are parallel because they share the same slope.
</span>
6) Below is a graph depicting total profits for a third month. Formulate the equation of the line that corresponds to this graph. Show your methodology or describe how you derived the equations
Choose two points on the line and denote their coordinates
Let
A( 0,300) B (450,0)
a) calculate the slope
m=(y2-y1)/(x2-x1)----> m=(0-300)/(450-0)----> m=-2/3
b) Utilizing the slope m=(-2/3) and the point A (0,300)
y-y1=m*(x-x1)-----> y-300=(-2/3)*(x-0)----> y=(-2/3)x+300
the final answer for Part 6) is
y=(-2/3)x+300
