Answer:
I hope this information is helpful
Step-by-step explanation:
The correct response is A, which translates to "A box-and-whisker plot." The scale of the number line varies from 0 to 12, and the box itself is from 4 to 10, with a line marking the 7 position inside the box.
Step-by-step explanation:
When the data points (2, 4, 6, 8, and 12) are plotted, the resulting visualization resembles the box-and-whisker plot depicted below
⊕← | Ф | →⊕
|---|---|---|---|---|---|---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10 11 12
Description A accurately outlines that specific box-and-whisker representation.
Answer:
5.83
Step-by-step explanation:
To determine the mean:
10(0.1) + 15(0.2) + 20(0.2) + 25(0.4) + 30(0.1)
u = 21
To find the standard deviation:
= 5.83
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
Response:
After one year, the simple interest on the specified principal amounts to Rs. 1,000
The total sum Rishav will need to settle after one year is Rs. 11,000
Detailed explanation:
The principal amount borrowed is Rs 10,000
Interest Rate = 10%
Duration = 1 year
Now, the SIMPLE INTEREST = 
or, 
Therefore, the calculated simple interest on the principal after 1 year is Rs. 1,000
Next, Total Amount = Principal + Simple Interest
or, A = 10,000 + 1,000 = 11, 000
Thus, the amount Rishav has to pay after one year is Rs 11,000
Response: ∠ACB ≅ ∠E'C'D'; move point D' to point B
Detailed explanation:
This is simply my educated conjecture.
