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Dahasolnce [82]
3 years ago
5

Y=4x - 1 and 12x=3y + 7

Mathematics
1 answer:
astraxan [27]3 years ago
7 0
For this problem, I think the question is to find the values of x and y. Since there are two unknowns and two equations, this system may be solvable. But let's investigate first if the equations are independent.

y = 4x - 1  ----> eqn 1
12x = 3y + 7 ---> eqn 2

Substituting eqn 1 to eqn 2:
12x = 3(4x - 1) + 7
12x = 12x -3 + 7
12x - 12x = 7 - 3
0 = 4

It turns out that the system is not solvable because x cancels out. That means that the two given equations are dependent with each other.
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A company manager for a tire manufacturer is in charge of making sure there is the least amount of defective tires. If the tire
Anestetic [448]

Answer:

0.347% of the total tires will be rejected as underweight.

Step-by-step explanation:

For a standard normal distribution, (with mean 0 and standard deviation 1), the lower and upper quartiles are located at -0.67448 and +0.67448 respectively. Thus the interquartile range (IQR) is 1.34896.

And the manager decides to reject a tire as underweight if it falls more than 1.5 interquartile ranges below the lower quartile of the specified shipment of tires.

1.5 of the Interquartile range = 1.5 × 1.34896 = 2.02344

1.5 of the interquartile range below the lower quartile = (lower quartile) - (1.5 of Interquartile range) = -0.67448 - 2.02344 = -2.69792

The proportion of tires that will fall 1.5 of the interquartile range below the lower quartile = P(x < -2.69792) ≈ P(x < -2.70)

Using data from the normal distribution table

P(x < -2.70) = 0.00347 = 0.347% of the total tires will be rejected as underweight

Hope this Helps!!!

6 0
3 years ago
According to the school survey, 12% of the students at wok wood junior high school speak Spanish. There are 36 students at the s
aivan3 [116]
The correct answer should be 300
3 0
2 years ago
(6 + 7) + 8 = 21
Travka [436]

Answer: 6+(7+8)=21

Step-by-step explanation:

1. By definition, the associative property of addition is:

(a+b)+c=a+(b+c)

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

(6+7)+8=21

You apply  the Asociative property of addition by regrouping the numbers as following:

6+(7+8)=21

3. Then, you can conclude that the correct option is B.



4 0
2 years ago
What is -2 = x/-4 + 9
svetlana [45]

<em>I would say that your answer is </em><em>44</em>

4 0
3 years ago
Read 2 more answers
What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}
Simora [160]

Answer:

The MAD of  {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

<u><em>Step 1 : Add all the values Up:</em></u>

<u><em /></u>12+10+10+8+6+7+7+12=72

<u><em>Step 2 : Divide them by the number of items or numbers:</em></u>

<u><em></em></u>\frac{12+10+10+8+6+7+7+12}{8}=9<u><em></em></u>

<u><em></em></u>

<u><em>Step 3: Find the absolute deviations:</em></u>

<u><em></em></u>12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\<u><em></em></u>

<u><em>Step 4: Add all the absolute deviations:</em></u>

3+1+1+1+3+2+2+3=16

<u><em>Step 5: Find the mean:</em></u>

\frac{3+1+1+1+3+2+2+3}{8}=2

7 0
3 years ago
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