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Luba_88 [7]
3 years ago
5

The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges fo

r lessons. Use this information to describe how to draw the line on a graph.
Mathematics
2 answers:
Lelu [443]3 years ago
4 0
We know from the slope intercept form that y=mx+b so the y intercept is 12 while every hour the cost goes up by 8
Nataly [62]3 years ago
3 0

Sample Response: Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.


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THIS IS MULTIPLE CHOICE!
Troyanec [42]

Answer:

there is a cluster from 1-4

there is a gap from 5-7

The spread is from 1-8

Step-by-step explanation:

These are all true if you look... there is a bunch from 1-4, there is none from 5-7, and all of them are within 1-8, but  the highest amount isn't at 3.

7 0
3 years ago
_____________numbers are located to the right of zero on the<br> ____________ line.
Sav [38]

<u>Positive</u> numbers are located to the right of zero on the <u>number</u> line

3 0
3 years ago
A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If
Nataly [62]

Answer:

The function is missing in the question. The function is $ C(x) = 0.8x^2 -544x +97410 $

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

$ C(x) = 0.8x^2 -544x +97410 $

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

$ C(x) = 0.8x^2 -544x +97410 $

$ = 0.8(340)^2 -544(340) +97410 $

=  4930

4 0
3 years ago
Deanna has rode her bike 6/7 days this week. What percentage of days has<br> Deanna rode her bike? *
Mademuasel [1]

Answer:

87%

Step-by-step explanation:

We need to convert this fraction to a decimal. To do that, we divide 6 by 7. That gets us 0.85714285714. We need to round that to the nearest hundredth. That gets us 0.86. Now, we need to convert this to a percentage. To do that, we move the decimal two places to the right. That gets us 86. She rode her bike 87% of the days this week.

5 0
2 years ago
Read 2 more answers
A past survey of students taking a standardized test revealed that ​% of the students were planning on studying engineering in c
Angelina_Jolie [31]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      \alpha =  (100 - 95)\%

     \alpha =  0.05

From the normal distribution table  we obtain the critical value of  \frac{ \alpha }{2}  the value is  

      Z_{\frac{\alpha }{2} } =z_c=  1.96

Now using the formula from the question to construct the 95% confidence interval we have  

  (\r p_1 - \r p_2  )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }

Here \r q_1 =  1 - \r p_1

  =>   \r q_1 =  1 - 0.084

 =>    \r q =  0.916

and  

   \r q_2 =  1 - \r p_2

 =>   \r q_2 =  1 - 0.092

=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

3 0
3 years ago
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