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
PSYCHO15rus [73]
2 years ago
15

2) Solve the linear equation 2(3x + 2) = 2x - 1+x

Mathematics
1 answer:
alexandr402 [8]2 years ago
6 0
Solving for x right?
2) 6x + 4 = 3x - 1
6x - 3x = -1 - 4
3x = -5
x = - 5/3

3) x - 9 = 3/5x
5(x-9) = 3x
5x - 45 = 3x
2x = 45
x = 45/2
You might be interested in
For every 4 feet of fencing, the cost is $36 <br> 2 4 7. 10<br> 8 36 81
stiv31 [10]
If your amount of fencing was 247.10 then you would divide that by 4 and multiply your result by 36 to find the amount of money needed to build a fence, your result is $2,196, now of course you have have more than 4 feet left but since the problem asks every 4 feet of fencing costs $36, I’m going to assume that if you have more than 4 but less than 8 you get that for free
4 0
3 years ago
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Constr
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Hello!

<em>Full text:</em>

<em>Listed below are amounts of court income and salaries paid to the town justice. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P value using  α  = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? </em>

<em> Court Income: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0 </em>

<em> Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18 </em>

<em>a. What are the null and alternative hypotheses? </em>

To test if there is a linear correlation between the court income and the justice salary, you have to use the following hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

<em>b. Construct a scatterplot.  </em>See attachment.

<em>c. The linear correlation coefficient r is: _____. </em>

r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2-\frac{(sumX_2)^2}{n} ]} }

n= 9; ∑X₁= 3992; ∑X₁²= 4078308; ∑X₂= 409; ∑X₂²= 2232; ∑X₁X₂= 262123

r= 0.86

<em>d. The P value is: _____. </em>

This test is two-tailed and so is its p-value. I've calculated it using a statistics software:

p-value: 0.0027

<em>e. Based on the results, does it appear that justices might profit by levying larger fines?</em>

Using the p-value approach, the decision rule is:

If the p-value ≤ α, reject the null hypothesis.

If the p-value > α, do not reject the null hypothesis.

The calculated p-value is less than the significance level, then the decision is to reject the null hypothesis.

At a 5% significance level you can conclude that there is a linear correlation between the "court income" and the "Justice salary"

I hope this helps!

6 0
3 years ago
You owe 1200 on your credit card which charges 1.5 per month
Ivahew [28]
40 meses com um custo de 4030 reais por mes espero ter ajudado bjjs

6 0
3 years ago
Which of the following is an equation of the line perpendicular to 3x+6y=12 and passing through (4,0)
kolbaska11 [484]
I think it’s letter C !!!!!!!
3 0
3 years ago
Question in picture. Thanks!
KonstantinChe [14]
2x^2+4x+2
Carry the 2 over to the 3 behind the 4 and multiply so 2times2 is 4. So i new equation is.
X^2+4x+4
Now you have to find the factors of 4 which is 1,4 and 2,2
So now you have to see which one adds up to 4 so 1+4 is 5 so cross that out and 2+2=4.
So the two number is 2 and 2 now you have to bring down the x^2 and the signs.
(X+2) (X+2) and thats your answer
8 0
3 years ago
Other questions:
  • Choose a number between 61 and 107 that is a multiple of 3 , 9 and 12
    14·1 answer
  • An orchard has 30 rows of apple trees. There are 3 trees in each row. How many apple trees are in the orchard?
    5·2 answers
  • Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5​%
    14·1 answer
  • For the ratio 28 : 36, find an equivalent with both terms greater tan 6 less than 10
    13·1 answer
  • On the same two days, the Belly Company's Stock also began at $36. However, by the end of the first day, the stock had dropped b
    14·1 answer
  • In set builder notation Write a compound inequality to represent all of the numbers between -4 and 6. (example..... {x|2
    12·1 answer
  • Divide. Round to the nearest tenth if necessary.<br><br> 65.2 ÷ 26<br><br> Please show procedure.
    10·1 answer
  • The center of a set is 10, it's lowest boundary is 4, then it's upper boundary is_
    8·2 answers
  • James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
    5·2 answers
  • Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 &lt; 18
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!