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8090 [49]
3 years ago
7

For the following exercise, determine the range (possible values) of the random variable, . Wood paneling can be ordered in thic

knesses of 1/16, 1/8, or 3/16 inch. The random variable is the total thickness of paneling in two orders.

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

Range = 0.125

Step-by-step explanation:

The detailed steps is as shown in the attached file.

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A circuit has a current of 1.2 a. if the voltage decreases to one-third of its original amount while the resistance remains cons
Alexeev081 [22]

Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

<h3>What is Ohm's Law?</h3>

Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.

It is expressed as;

V = IR

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given that;

Initially, A circuit has a current I = 1.2A

V = IR

R = V/I

R = V/1.2A ...... let this be equation 1

Next, voltage decreases to one-third of its original amount while the resistance remains constant.

Meaning Voltage = 1/3 of V = V/3

Hence;

V = IR

V/3 = IR

From equation 1 ( R = V/1.2A )

V/3 = I × V/1.2A

V/3 = IV/1.2A

We cross multiply

V1.2A = 3IV

I = V1.2A / 3V

I = 1.2A / 3

I = 0.4A

Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

Learn more about potential difference here: brainly.com/question/2364325

#SPJ4

8 0
2 years ago
Read 2 more answers
The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
lyudmila [28]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
5 0
3 years ago
What is the answer to 8÷544
Stells [14]
8 ÷ 544 = 0.0147058824, 544 ÷ 8 = 68
3 0
3 years ago
Plz help. will mark as braniliest!
Evgen [1.6K]

The idea of using 4 because it's a factor is the wrong choice. If the equation were 5x = 88 and you divide by 4, you aren't getting a single 1x alone. So the "divide because it's a factor" choice is wrong.




7 0
3 years ago
Read 2 more answers
Please help me, I don’t understand how I keep getting it wrong!
GenaCL600 [577]

9514 1404 393

Answer:

  1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

  (1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

  = 1.2(10⁶)/(10⁶) t/m³

  = 1.2 t/m³

__

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

6 0
2 years ago
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