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Tema [17]
2 years ago
3

The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. Complete the statements about

the graph of the equation.Part A
The graph intersects the x-axis at the point
Choose...
,
Choose...
, which represents
Choose...
.

Part B

The graph intersects the y-axis at the point (
Choose...
,
Choose...
), which represents
Choose...
.
Mathematics
1 answer:
Black_prince [1.1K]2 years ago
3 0

Answer:

y - 12 = -3(x - 1)

y = -3x + 3 + 12

y = -3x + 15   So the initial amount of water was 15 gallons.

Step-by-step explanation:

srry i'm wrong

but i'm pretty sure it's the answer

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What is the product of (8.8 × 106)(5 × 102)?
Serhud [2]

(8.8 × 106)(5 × 102)

= (932.8)(510)

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7 0
2 years ago
2.4 Backgammon. Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two di
muminat

Answer:

The claim is not fair because:

  • Probability of roliing two 6s = Probability of rolling two 3s = 1/36

Step-by-step explanation:

The <em>probaility</em> of an event is defined as the number of favorable outcomes divided by the number of total possible events.

P (event E) = number of outcomes for event E / number of possible events

1. <u>As </u><u>first step</u><u>, you may draw a table to find the </u><u>sample space</u><u> (set of all possible outcomes)</u>.

<u>Sample space</u>

The results of the rolling two dice are summarized in this table:

                    Second roll    1       2       3       4        5      6

First roll

  1                                       (1,1)  (1,2)    (1,3)   (1,4)   (1,5)  (1,6)

  2                                     (2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

  3                                     (3,1)  (3,2)  <u>(3,3)</u>   (3,4)  (3,5)  (3,6)

  4                                     (4,1)   (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

  5                                     (5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

  6                                     (6,1)  (6,2)  (6,3)  (6,4)  (6,5)  <u>(6,6)</u>

<u></u>

2.<u>Now, in that table, you can observe</u>:

The results (3,3) and (6,6) are highlited.

a) Total number of events: 6 × 6 = 36

b) Nnmber of outcomes for the event rolling two 6s (6,6): 1

c) Number of outcomes for the event rolling two 3s (3,3): 1

3) <u>Next, you can calculate the probabilities:</u>

a) Probability rolling two 6s = 1 / 36

b) Probability of rolling two 3s: 1 / 36

4. <u>Conclusion</u>: the probabilities prove that rolling two 6s is just as likely as rolling two 3s.

7 0
2 years ago
Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5
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So to find the avrage u r going to add all the numbers then divide by the nuber of nubers u have there  that will give u ur answer

5 0
2 years ago
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Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
2 years ago
PLEASE HELP!! ASAP!!! 20 POINTS. David proved the Law of Cosines with reference to triangle abc using a different method.Arrange
sleet_krkn [62]

Answer:

Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.

Step-by-step explanation:

The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.

Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.

3 0
2 years ago
Read 2 more answers
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