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Ipatiy [6.2K]
3 years ago
9

The following linear equation represents the line of best fit for the following scatter plot

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

C) About 243 hits

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

home runs = y = 35

<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>

  1. Substitute [BLF]:                    35 = 0.15x - 1.5
  2. Add 1.5 on both sides:          36.5 = 0.15x
  3. Divide 0.15 on both sides:    243.333 = x
  4. Rewrite:                                  x = 243.333

Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.

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Aleonysh [2.5K]
<h3>Given :</h3>

\tt g(x)=6-2x

<h3>To Find :</h3>

\tt g(0)= ?

<h3>Solution :</h3>

\tt g(x)=6-2x

\tt By \: putting \: x = 0

\tt \implies g(0)=6-2(0)

\tt \implies g(0)=6 - 0

\tt \implies g(0)= 6

\pink{\tt \therefore \: value \: of \: g(0)= 6}

6 0
3 years ago
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Two friends, Hailey and Jenna bought two tickets to see a play at a local theater . Each ticket cost $17.25. Each friend donated
Gennadij [26K]
If you let the convenience fee equal x, then...

(2×17.25)+(2×1)+(2×x)= 40.50

There are 2 girls so we multiply all the charges by 2. Add them together and you'll get 40.50. Now if we solve for x, we will get the amount of the convenience fee.

2×17.25 + 2×1 + 2x = 40.50
34.50 + 2 + 2x = 40.50
36.50 + 2x = 40.50
2x = 40.50 - 36.50
2x = 4
x = 2

Each girl paid a 2 dollar convenience fee.
6 0
3 years ago
Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the tota
blagie [28]

Answer:

  • 1. $330
  • 2. 11.5 hours

Step-by-step explanation:

<u><em>Continuation of the question:</em></u>

  • <em>1. Find c (5) and interpret your solution in the context of the problem </em>
  • <em>2. Find the value of h when c() = 525 and interpret your solution in the context of the problem</em>

<u>Solution</u>

  • c(h) = 30h + 180

1 ...............................................

  • c(5) = 30*5 + 180 = $330

2 ...............................................

  • 525 = 30h + 180
  • 30h = 525 - 180
  • 30h = 345
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8 0
3 years ago
Using exactly four 4's and any operations[+,-,x,/,()] write an expression to equal each of the following:
IrinaK [193]
3 = 4 - 4^0 * 4/4

4 =  4^0 + 4^0 + 4^0 + 4^0

5 = 4^2 / (4^0 * 4)  + 4^0

6  = 4^2 / 4  + 4^0 + 4^0


4 0
3 years ago
If BC = 61 and AB = 82, what is the length of AC?
Nitella [24]

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

4 0
3 years ago
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