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vfiekz
2 days ago
5

Please help ASAP Payton collected data to show the relationship between the number of hours he practices and the number of error

s he makes when playing a new piece of music. The table shows his data. Which is the approximate slope of the line of best fit for the data? –5.5 –4.5 –2.0 –1.0

Mathematics
1 answer:
lawyer [9.2K]2 days ago
5 0

Response:

Option B.

Step-by-step breakdown:

The general equation for the best fit line is

y=ax+b

where a indicates the slope and b the y-intercept.

Utilizing a graphing calculator yields a=-4.54762 and b=43.7143. Hence, the equation for the best fit line can be represented as

y=-4.54762x+43.7143

Here,

Slope=-4.54762

Slope\approx -4.5

Note: Alternatively, you can apply the following formula to compute the slope.

m=\dfrac{\overline{x}\cdot \overline{y}-\overline{xy}}{(\overline{x})^2-\overline{x^2}}

Accordingly, the correct choice is B.

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Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ
Inessa [8989]

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation 0.22m+7.20=0.1m+8.40 to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies c_1=0.22m+7.20 for m miles traveled.

The second company's charge for the same m miles is c_2=0.1m+8.40.

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to 0.22-0.1=0.12.

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22

2. Cost per mile for the second company

c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1

3. The difference:

0.22-0.1=0.12

6 0
20 days ago
Mona wrote 7 tests. her average was 93 what is the lowest grade she can get for her average to be 90
lawyer [9226]

Response:

69

Detailed steps:

To calculate the total score for all tests, you take 93 and multiply it by 7 to get 651. Then, multiplying 90 by 8 results in 720. Subtracting 651 from 720 gives you 69.

6 0
10 days ago
You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jean
tester [8808]
ఈ క్రింది విధంగా వివరణ: 25% 6.5% 35% కీ వివరణతో: ఇన్వాయిస్ ఇచ్చినప్పుడు: జీన్స్ కోసం బిల్ 39.99; డిస్కౌంట్ - 10.00; సబ్టోటల్ 29.99; నగదు పన్ను 1.95; మొత్తం 31.94. A) % డిస్కౌంట్ దగ్గరికి % క్రితం క్రింది అంచనా మార్క్; డిస్కౌంట్ మొత్తం = % డిస్కౌంట్ * ధర; 10 = x% * 39.99; 10/39.99 = x%; 0.2500625 = x%; x = 0.2500625 * 100%; % డిస్కౌంట్ = 25% % నగదు పన్ను; నగదు పన్ను మొత్తం = % పన్ను * సబ్టోటల్; 1.95 = x% * 29.99; 1.95/29.99 = x%; 0.06502 = x%; x = 0.06502 * 100%; x = 6.5%; డిస్కౌంట్ కంటే ముందు మార్కప్ = 60%; డిస్కౌంట్ తరువాత మార్కప్ = (60 - 25)% = 35%.
5 0
9 days ago
The photo shows a small coin. The scale from the actual coin to the photo is
PIT_PIT [9101]

8mm correlates to 2cm just as 8mm aligns with 20mm

The ratio of 8: 20 simplifies down to 2: 5

3.25cm ÷ 5 equals 0.65cm

Multiplying 0.65 by 2 results in 1.3cm

Your answer amounts to 1.3cm

6 0
21 day ago
Micah rows his boat on a river 4.48 miles downstream, with the current , 0.32 hours. He rows back upstream the same distance, ag
AnnZ [9071]
Short Answer: Current speed = 3 miles per hour. Given details for downstream distance of 4.48 miles at time 0.32 hours and upstream distance of the same 4.48 miles taking 0.56 hours. Using the equation d = r*t, we equate distances for both directions leading to a function in terms of the current speed. With each correction to solve ultimately yields the current speed as 3 mph.
5 0
4 days ago
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