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jekas [21]
3 years ago
6

a food store has two stacks of rice weighing 26.3 kg each . what quantity of rice was sold during a day , of at the end of the d

ay the total quantity of rice in the store is 35.5 kg ?
Mathematics
1 answer:
balandron [24]3 years ago
5 0

Answer:

17.1 kg

Step-by-step explanation:

One stack of rice = 26.3 kg

Two stacks of rice = 2 *26.3  = 52.6 kg

Remaining rice at end of day = Total weight of two stacks - quantity of rice sold in day

= 52.6 - 35.5

= 17.1 kg

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Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time.  The combinations can be shown as C(9,5), 9C5.

C(9, 5) =
9/5(9-5) = 
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The 5 terms cancel. 

9*8*7*6 / 4*3*2 = 
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The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
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Ratling [72]

Answer:

Choice number one:

\displaystyle \frac{5}{10}\cdot \frac{4}{9}.

Step-by-step explanation:

  • Let A be the event that the number on the first card is even.
  • Let B be the event that the number on the second card is even.

The question is asking for the possibility that event A and B happen at the same time. However, whether A occurs or not will influence the probability of B. In other words, A and B are not independent. The probability that both A and B occur needs to be found as the product of

  • the probability that event A occurs, and
  • the probability that event B occurs given that event A occurs.

5 out of the ten numbers are even. The probability that event A occurs is:

\displaystyle P(A) = \frac{5}{10}.

In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be:

\displaystyle P(B|A) = \frac{4}{9}.

The probability that both A and B occurs will be:

\displaystyle P(A \cap B) = P(B\cap A) =  P(A) \cdot P(B|A) = \frac{5}{10}\cdot \frac{4}{9}.

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3 years ago
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Answer:

66

Step-by-step explanation:

121 - 55 = 66

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3 years ago
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If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ first, find
Alja [10]

Given

Endpoints of the diameter (5,2) and (-7,4)

Step One

Find the center

Center = (x2 + x1)/2 , (y2 + y1)/2

x2 = -7; x1 = 5; y2 = 4; y1 = 2

Center = (-7 + 5)/2 ; (4 + 2)/2;

Center = (-1 , 3)

Step Two

Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.

Distance squared = (5 - - 1)^2 + (2 - 3)^2

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Step Three

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(x - - 1 )^2 + (y - 3)^2 = 37

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