1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MArishka [77]
3 years ago
13

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4000 to produce 300 chair

s in one day. (A) Assuming that the relationship between cost C and the number of chairs produced x is linear, find an equation that expresses this relationship.
Mathematics
1 answer:
Mkey [24]3 years ago
3 0
C - cost;  x - the number of chairs produced;
Linear equation: y = m x + b  ( m = ?, b = ? )
2200  = 100 m  + b  / * ( -1 )(we will multiply both sides of the equation by -1) 
4000 = 300 m + b
--------------------------
- 2200 = - 100 m - b
+
 4000 =  300 m + b
----------------------------
1800 = 200 m
m = 1800 : 200 ,  m = 9 ( we will then plug in the first equation )
2200 = 9 * 100 + b
2200 = 900 + b
b = 2200 - 900,  m = 1300
Answer:  C = 9 x + 1300
You might be interested in
What is the smallest solution to this equation?​
Lapatulllka [165]

Answer:

x = - 6

Step-by-step explanation:

Given

\frac{2}{3} x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± \sqrt{36} ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

8 0
3 years ago
Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)
DiKsa [7]

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

m = slope

(-3,-1) = (x,y)

<em>Plus in the coordinates</em>

-1 = -2/3(-3) + b

<em>negative times negative = positive</em>

-2/3 * -3 = 2

-1 = 2 +b

<em>Use inverse operations</em>

-2 --2

-3 = b

y = -2/3x - 3

5 0
3 years ago
Read 2 more answers
stephanie needs an object whose top view is a circle and whose left and front views are squares describe an object that will sat
kari74 [83]
I believe it would be a cylinder
7 0
3 years ago
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With
Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

Step-by-step explanation:

Data given and notation n  

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.36 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

For this case the statistic is given:

z = 2.074

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

5 0
3 years ago
F(x)= 3x+4<br> find inverse, domain, at range of the function and it's inverse.
daser333 [38]

Answer:

12

вот правильный ответ

6 0
3 years ago
Other questions:
  • Negative 7 divided by 14/3 as a fraction
    13·2 answers
  • Which of the following shows the rational numbers in order from least to greatest
    13·1 answer
  • Baker has flour to last 40 days. If he increases production by 25% how many days will the flour last? I put 30 days but they sai
    10·1 answer
  • You roll a six-sided die. How likely is it that you roll a number greater than 6?
    9·2 answers
  • Find all solutions to
    5·1 answer
  • Create a quadratic trinomial with zeros equal to 4 and 5
    6·1 answer
  • Cual es la utilidad de la representacion a escala de diferentes distancias reales
    13·1 answer
  • PLEASE HELP FAST!!
    7·1 answer
  • Michael went on a hike and recorded his elevation. In total, he went up 14.26 kilometers and went down 11.86 kilometers. His fri
    6·1 answer
  • Simplify the expression:<br> (1 2/7)(-4 1/5)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!