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
stiv31 [10]
3 years ago
13

3m=2(4+x) solve for x

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0
3m=2(4+x)
To solve for x, you need to get x by itself.
1. Distribute: 3m=2(4+x)
3m= 8 + 2x
2. Subtract 8.
3m- 8= 2x
3. Divide all numbers by 2 in order to isolate the x.
3/2m-8= x
This is the furthest the equation will go since there is no number in the place of x. I hope this helps! (: Good luck.
algol133 years ago
4 0
Simple.........

3m=2(4+x)

Simplify...

3m=2(4+x)

3m=8+2x

Isolate the variable....

3m=8+2x
-8      -8

3m-8=2x

\frac{3m-8}{2} = \frac{2x}{2}

\frac{3m}{2} -4=x

Thus, your answer.
You might be interested in
Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 1818 cans of the
ohaa [14]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.

If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 ​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses.  

b. Compute the test statistic.

c. Find the p-value.

d. State the conclusion.

Answer:

Null hypotheses = H₀: σ = 0.16  oz

Alternate hypotheses = H₁: σ < 0.16  oz

Critical value = 6.408

Chi-square value = \chi^2 = 13.016

Reject H₀  Since \chi^2 > Critical value

Reject H₀ Since p-value ≤ α

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Step-by-step explanation:

Set up hypotheses:

The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz

Null hypotheses = H₀: σ = 0.16  oz

The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz

Alternate hypotheses = H₁: σ < 0.16  oz

Determine type of test:

Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.

Determine the Critical value:

Given level of significance = 0.01

Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from  one, and then look it up

α = 1 - 0.01 = 0.99

degree of freedom = df = n - 1 = 18 - 1 = 17

The critical value from the chi-square table at α = 0.99 and df = 17 is found to be

Critical value = 6.408

Using an online “chi-square p-value calculator”

The left tail p-value for df = 17 and Critical value = 6.408 is found to be

p-value = 0.01

Set up decision rule:

Reject H₀ If  > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

OR

Reject H₀ If p-value ≤ α

Compute the test statistic:

$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $

$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $

\chi^2 = 13.016

Conclusion:

We reject H₀

Since \chi^2 > Critical value

13.016 > 6.408

Also

p-value ≤ α

0.01 ≤ 0.01

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

5 0
3 years ago
What is 2/7 + 6/10 in fraction form
frez [133]

Answer:

31/35

Step-by-step explanation:

= 62/70

= 62 ÷ 2/70 ÷ 2

= 31/35

5 0
3 years ago
Read 2 more answers
How many triangles are there in the third one?
sergejj [24]

Answer:

There are 29 triangles when you count them all including non obvious ones.

7 0
3 years ago
Read 2 more answers
John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square
oee [108]
Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

A= l\times w

We just have to substitute
l=62.5 and w= 45.3 into the given formula and evaluate.

This implies that;

A= 62.5\times 45.3

This gives the area of the rectangular-shaped field to be;

A= 2831.25 square yards.

Now for the perimeter, we use the formula

P=2w +2l

Or

P=2(w +l)

Substituting the values for the length and width gives,

P=2(62.5+45.3)

\Rightarrow P=2(107.8)

\Rightarrow P=215.6

Hence the perimeter of the rectangular shaped field is 215.6 yards.
8 0
3 years ago
A person sold an article at a profit of 15% if he sold it for Rs 81 less , his loss would have been 12% find the cost price of t
Misha Larkins [42]

Answer:

let cp be x

sp= 115x/100 ---(when 15%gain)

sp = 88x/100------(when 12% loss

according to question

115x/100 - 88x/100 = 81

or, (115x-88x)= 8100

or, 27x = 8100

or, x= 8100/27

x = 300

hence cp is RS 300

3 0
2 years ago
Other questions:
  • To convert 50 hectares to acres, divide 50 by 4.05 × 10-1 True False
    9·1 answer
  • Find 10-3. write the subtraction fact two ways.
    9·1 answer
  • Help<br><img src="https://tex.z-dn.net/?f=8x%20-%20%283%20%2B%202x%29" id="TexFormula1" title="8x - (3 + 2x)" alt="8x - (3 + 2x)
    14·1 answer
  • Madison must run a mile in no more than 9 minutes to qualify for the race ​
    15·1 answer
  • Is the ratio 15 : 12 equivalent to 5 : 3 and 10 : 6? Explain.
    13·2 answers
  • A group of friends wants to go to the amusement park. They have $134.75 to spend
    8·1 answer
  • . I am a factor of 120. • I am a multiple of 2. . I am a multiple of 3. . I am 1 away from a multiple of 5. Who am I?​
    8·2 answers
  • The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did t
    13·1 answer
  • J3.
    6·1 answer
  • Hemando is watching his older brother practice martial arts. Hernando then imitates the same
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!