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Anna11 [10]
3 years ago
5

A bicycle store costs $2,400 per month to operate. The store pays an average of $60 per bike. The average selling price of each

bicycle is $120. How many bicycles must the store sell each month to break even?
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0
Each bicycle gives a profit of around 60 dollars.

2400/60= 40

The store must sell around 40 bicycles every month.
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Sixty is 30% of what number
UkoKoshka [18]
The answer is 200 :)))))))
5 0
4 years ago
Answer plsss!<br> If the measure of angle 2 is 48 degrees, what is the measure of angle 4? Why?
PolarNik [594]

Answer:

The measure of angle 4 is 48 degrees.

Step-by-step explanation:

When two angles <u>forming an X</u>

  • shape share a common vertex and
  • oppose each other

the angle has the same value.

We call this type of angles opposing angles or vertical angles.

8 0
4 years ago
Read 2 more answers
If UV ≅ UX and WX=23, what is VW?<br><br> VW =
KiRa [710]
<h2>Answer: </h2>

The length of VW is 23°

<h2>Step-by-step explanation: </h2><h3>Known : </h3>
  • UV = UX
  • WX = 23  

<h3>Asked : </h3>

VW = ?

<h3>Solution : </h3>

Since the UV line and UX line has the same length, so the VW line should have the same length as the WX line.

VW = WX

23 = 23

<h3>Conclusion : </h3>

The length of VW is 23°

5 0
3 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
andrew11 [14]

Differentiating both sides of

x^2 + 2xy - y^2 + x = 20

with respect to x yields

2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}

At the point (3, 4) (so x=3 and y=4), the tangent line has slope

\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2

Then the tangent line to (3, 4) has equation

y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}

7 0
2 years ago
Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immedia
Hatshy [7]

This question is incomplete, the complete question is;

Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y"  = -1.5x + 85.

He also calculated that the value of r, the correlation, was -0.61.

what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning

Answer:

Interpretation of coefficient of determination R² = 0.3721

R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line

Step-by-step explanation:  

Given the data in the question;

the least square regression line is;

y"  = -1.5x + 85

the correlation coefficient r = -0.61

Now, the coefficient of determination R² is square of correlation coefficient r

R² = -61²

R² = 0.3721

8 0
3 years ago
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