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steposvetlana [31]
4 years ago
9

The scatter plot shows the wages of employees.

Mathematics
1 answer:
Paladinen [302]4 years ago
7 0

(1) The expected number of copies sold is 75

(2) The expected wage is $720

Explanation:

From the graph, we can see that x represents the number of copiers sold.

y represents the wages.

The equation of the graph is y=6x+120

(1) Given that an employee earn $570.

We need to determine the number of copiers sold.

Let us substitute y=570 in the equation y=6x+120, we get,

570=6x+120

450=6x

 75=x

Thus, the number of copiers sold is 75

(2) Given that if an employee sells 100 copiers, we need to determine the expected wage.

Let us substitute x=100 in the equation y=6x+120, we get,

y=6(100)+120

y=600+120

y=720

Thus, the expected wage is $720

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Answer:

y = -3/2 x +5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

m= (8--1)/(-2-4)

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m= (9/-6)

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point slope form

y-y1=m(x-x1)

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distribute

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4 years ago
What else would need to be congruent to show that A ABC= AXYZ by ASA?
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Answer:

D. AC ≅ XZ

Step-by-step explanation:

To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.

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Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
cupoosta [38]

Answer:

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Step-by-step explanation:

Divide equation 6\sin\left(\dfrac{\pi }{5}x\right)=5 by 6:

\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.

Then

\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,

x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.

Since \arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},

four smallest positive solutions are

1. \dfrac{5}{3.2}\approx 1.568,\ k=0;

2. \dfrac{-5}{3.2}+5\approx 3.432,\ k=1;

3. \dfrac{5}{3.2}+10\approx 11.568,\ k=2;

4. \dfrac{-5}{3.2}+15\approx 13.432,\ k=3.

3 0
4 years ago
The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the v
aev [14]

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is 75\ in.^2

The side length of the square is a\sqrt{3}

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Thus, value of a is 5 inch

6 0
3 years ago
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