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raketka [301]
2 years ago
11

Sheryl takes a summer job selling hats for a local soccer team. She realizes that there is a relationship between the number of

games the team wins each season and the number of hats vendors like her tend to sell. She collects data from the past several seasons. The scatter plot shows her data and the line of best fit.
Using technology, she finds that the equation of the line of best fit is y = 3.75x + 13.75.

Based on the equation for the line of best fit, about how many hats can Sheryl predict she will sell if the team wins 9 games this season?

A.
48 hats
B.
42 hats
C.
9 hats
D.
10 hats
Mathematics
1 answer:
Sloan [31]2 years ago
4 0

Answer:

47

Step-by-step explanation:

x is games won

y is hats sold

y=3.75x+13.75\\y=3.75(9) + 13.75\\y=47.5

Since you can't sell .5 of a hat- you need to round this answer.

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A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The
Vladimir [108]

Using the Sine rule,

\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

A^0+P^0+B^0=180^0\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}

Using the side rule to find the length of wire BP,

\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0
1 year ago
Find the slope between (-2,-2) and (0,-3)
KATRIN_1 [288]

Answer:

Step-by-step explanation:

x1 y1 x2 y2

-2 -2 0 3

ΔY 5

ΔX 2

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3 years ago
Please help me and please dont put a incorrect number just for points
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Answer:

Step-by-step explanation:

You multiply by the reciprocal of 1/5 to make the equation 1/3*5/1 to get 5/3

if u dont know this   *=multiplication

8 0
2 years ago
(49^3)^1/8 <br> What is the value of the expression?
alexgriva [62]
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7 0
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Answer:

   46. <u>(3) 29</u>

   47. <u>(1) y = -4x + 3</u>

   48. <u>(3) 3</u>

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Step-by-step explanation:

<u>Question 46</u>

  • Let red marbles be 2x + 3 and black marbles be x
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<u></u>

<u>Question 47</u>

  • Parallel to a line means the slope is the same
  • <u>(1) y = -4x + 3</u>

<u></u>

<u>Question 48</u>

  • For the expression to be undefined, the denominator has to be 0
  • x - 3 = 0
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  • <u>(3) 3</u>

<u></u>

<u>Question 49</u>

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<u></u>

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6 0
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