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xenn [34]
3 years ago
8

A worker at an orchard measures the mass of different numbers of apples. The scatter plot below shows the relationship between t

he mass, in kilograms, and the number of apples.
What is the slope of the line of best fit? Express your answer as a decimal and round to the nearest hundredth.

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
To evaluate for the slope we use the formula:
slope,m=(y₁-y)/(x₁-x)
thus selecting 2 points from the graph where the line cuts, (0,0) and (5, 0.6)
thus plugging the values in the formula and simplifying we obtain:
m=(0.6-0)/(5-0)
m=0.6/5
m=0.12
hence the slope of the line of best fit is m=0.12
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What is f(3)??????????
AURORKA [14]
<h3><u>Explanation</u></h3>
  • Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

  • Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0
2 years ago
For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

.

\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

.

\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
Which value for the number makes the statement true? the quotient of a number and five is 8. a-4, b-8, c-40, d-80
Inga [223]
The letter is c because you divide 40 by 5 = 8
6 0
2 years ago
A middle school took all of its 6th grade students on a field trip to see a symphony. The students filled 300 seats, which was 1
prisoha [69]

Answer:

3,000

Step-by-step explanation:

Basically, there are 300 seats filled which is 10%

100% is 10x10

300=10%

multiply both sides by 10

300x10=3000 and 10x10=100

therefore, the total number of seats is 3000 since 100% represents the whole thing.

Hope this was helpful!

5 0
3 years ago
write five fractions equivalent to 1/2. What is the relationship between the numerator and denominator of fractions equivalent t
Vlada [557]
2/4 
6/12 
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8/16 
9/18
different factions but the same value.
8 0
2 years ago
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