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andriy [413]
3 years ago
8

There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and rand

omly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

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A dog breeder plans to mix two types of food to make a mix of low cost
lys-0071 [83]

Answer:

  • 3.75 bags of ChowChow
  • 0.75 bags of Kibble

Step-by-step explanation:

The constraints on protein, minerals, and vitamins give rise to the inequalities ...

  40c +30k ≥ 150 . . . . . . required protein

  20c +20k ≥ 90 . . . . . . required minerals

  10c +30k ≥ 60 . . . . . . . required vitamins

And we want to minimize 10c +12k.

The graph shows the vertices of the feasible region in (c, k) coordinates. The one that minimizes cost is (c, k) = (3.75, 0.75).

To minimize cost, the daily feed should be ...

  • 3.75 bags of ChowChow
  • 0.75 bags of Kibble

Daily cost will be $46.50.

5 0
4 years ago
Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq
castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)

Considering 8y instead of 8 in eq(1)

We need to identify  what action was completed to create this new equivalent system of equations? -2x+4y=8, 2x+4y=32

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

  • brainly.com/question/9045597
  • brainly.com/question/13168205
  • brainly.com/question/2115716

#learnwithBrainly

4 0
3 years ago
N th term of quadratic sequence 3, 11 , 25, 45
choli [55]

The first differences are 8, 14, 20.

The second differences are 6.

Half of 6 is 3, so the first term of the sequence is 3n^2.

If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.

Therefore your final answer will be 3n^2 - n + 1

6 0
3 years ago
Someone plz help to become brainliest and get points !! :) plz answer truthfully
Ilia_Sergeevich [38]

Total number of cubic inches of cheese sauce in container = Volume of cylinder = \pi .8^2.7

Option A is correct.

Step-by-step explanation:

The diameter of cylinder = 16 inches

The height of cylinder = 7 inches

Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?

The formula used to find Volume of cylinder is:

Volume=\pi r^2h

We are given diameter of cylinder while we need radius according to formula.

So, radius = diameter/2

radius = 16/2

radius = 8

Putting values and finding volume:

Volume=\pi .8^2.7

So, Total number of cubic inches of cheese sauce in container = Volume of cylinder = \pi .8^2.7

Option A is correct.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

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8 0
4 years ago
A board 8 ft long is cut into three equals pieces. How long are the pieces?
san4es73 [151]

Answer:

A

Step-by-step explanation:

5 0
4 years ago
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