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Ierofanga [76]
2 years ago
6

Analysis and observations in these two graphs

Mathematics
1 answer:
professor190 [17]2 years ago
7 0

By critically observing the graph, we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

In conclusion, there are four (4) points of intersection on this graph.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

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Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av
s344n2d4d5 [400]

Nikita's distance from her for the second part of the race was 1.5 kilometers.

Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:

  • 8.75 x 0.65 + 6 x 0 = 5.68
  • 8.75 x 0.50 + 6 x 0.15 = 5.275
  • 8.75 x 0.40 + 6 x 0.25 = 5
  • 100 = 60
  • 40 = X
  • 40 x 60/100 = X
  • 24 = X
  • 39 - 24 = 15
  • 15 = 1/4 hour
  • 6/4 = 1.5

Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.

Learn more about maths in brainly.com/question/22791791

6 0
2 years ago
Which expression is equivalent to <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20%20" id="TexFormula1" title=" \fr
Dennis_Churaev [7]

A - This is the same as : (3*3*3*3)/4 Wrong.

B - This is 12/4 Wrong.

C- This is 3/2 * 3/2 * 3/2 * 3/2 Correct.

4 0
3 years ago
PLEASEEEEEE HELPPPPPP IM SO CONFUSED IVE BEEN TRYING TO SOLVE FOR DAYS
andre [41]

Answer:

9 days

Step-by-step explanation:

1= 9*(1.04)^d

12.81/9= (1.04)^d

1.423= (1.04)^d

log(1.423)= d *log(1.04)

0.1532=d * 0.017

d= 0.1532/0.017

d=9

The reasonable domain to plot the growth function is in the interval [0,9].

6 0
3 years ago
Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts
maksim [4K]

Answer:

a) 0.0202

b)The seller's claim is not correct.

c) If the seller's claim is true we cannot have individual length of 72.15 inch.

Step-by-step explanation:

In the question it is given that

population mean, μ = 72 inch

Population standard deviation, σ = 0.5 inch

Sample size, n = 47

Sample mean, x =72.15 inch

a) z score = \frac{x-\mu}{\sigma/\sqrtr{n}} = \frac{72.15-72}{0.5/\sqrt{47}} = 2.0567

P(x ≥ 72.15) = P(z ≥ 2.0567) = 0.5 - 0.4798 = 0.0202

We calculated the probability with the help of standard normal table.

b) The sellers claim that the machine cuts the lumber with a mean length of 72 inch is not correct as we obtained a very low probability.

c)If we assume that the seller's claim is true that is the machine cuts the lumber into mean length of 72 inch then we cannot have an individual length 72.15.

Standard error = \frac{\sigma}{\sqrt{n} } = 0.0729

Because it does not lie within the range of two standard errors that is (μ±2 standard error) = (71.8541,72.1458)

4 0
3 years ago
7848 / 4 what<br> Is the quotient
andriy [413]

\text{Hey there!}

\text{Both numbers are divisible to 4, so divide the numerator and denominator from 4}

\frac{7,848\div4}{4\div4}

\text{7,848}\div4=1,962

\text{4}\div4=1

\text{1,962}\div1=1,962

\boxed{\boxed{\text{Answer: 1,962}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
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