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olya-2409 [2.1K]
3 years ago
9

2p - 3q - 4r + 6r -2q + p

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

2p - 3q - 4r + 6r - 2q + p = 0

2p + p - 3q - 2q - 4r + 6r = 0

3q - 5q + 2r = 0

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43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are go
malfutka [58]

Answer:

0.85% probability that the first two are good and the last three are spoiled

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

2 spoiled, from a set of 43-11 = 32.

3 spoiled, from a set of 11.

So

D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080

Total outcomes:

5 jugs from a set of 43.

T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760

Probability:

p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085

0.85% probability that the first two are good and the last three are spoiled

4 0
3 years ago
16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
il63 [147K]

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

then;

m_2 = \frac{1}{4}

Therefore, the given two lines are neither parallel nor perpendicular.

4 0
3 years ago
Every natural number is a whole number true or false​
bija089 [108]

Answer:

true

Step-by-step explanation:

it is what it is

5 0
3 years ago
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HELP ASAP RN PLEASE!!<br><br> 200 people got an email 37 people clicked on it how do you get 18.5%
son4ous [18]

Answer:

37/200

Step-by-step explanation:

Event/Sample Space = .185 = 18.5%

7 0
3 years ago
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5/7 = /14 equivalent fraction answer should be?
Alex777 [14]

Answer:

the answer I got is false

Step-by-step explanation:

5/7=14 convert 14 to fraction 98/7

5/7=98/7 compare 5/7 and 98/7

so the maths is false question

3 0
2 years ago
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