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34kurt
3 years ago
11

Determine the constant of variation for the direct variation given. The number of fat calories varies directly with the grams of

fat. There are 27 calories for each 3 grams of fat.
1/3
1/9
3
9
Mathematics
2 answers:
3241004551 [841]3 years ago
3 0

The Correct answer would be )9

27

----     = k                 K- Constant Variation

3


Hope This Helps

-Dante

Aleksandr-060686 [28]3 years ago
3 0

9 is correct

27/3 = 9

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Independent Practice
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Answer: THE ANSWER IS D. Yes; no value in the domain corresponds to more than one value in the range.

Find the domain and range.

Domain:

{ − 2 ,  3 ,  − 0.5 ,  4 }

Range:

{ 9 }

Step-by-step explanation: ITS NOT A OR C

Determine if the relation is a function.

The relation is a function.

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3 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
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Answer:

There is 20 dollars and the cost is 1.29. You need to have more money than the cost

To see if he can buy Y many songs

20 > 1.29 x Y

If you want how many songs

20/1.29=amount of songs

20/1.29 = 15.5

You round down because he cannot afford the full 16th song but can afford the 15th song fully so he can buy 15 songs

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

5 0
3 years ago
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The dot plot represents a sampling of ACT scores:
Troyanec [42]

The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed

The correct option for the details of the box plot that represents the dot plot data is;

<em>Box plot </em><em>titled ACT Score with a minimum of </em><em>18</em><em>, quartile 1 of </em><em>21</em><em>, median of </em><em>22</em><em>, quartile 3 of </em><em>23</em><em>, and maximum of </em><em>25</em>

The process of deriving the five number summary of the box plot above is as follows;

Known:

The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;

18, 19, 19, 19, 21, 21, 21, 21, <u>22, 22</u>, 22,22, 23, 23, 23, 24, 24, 25

The number of data points in the statistics, n = 18

Unknown:

The five number summary

Method:

Finding the five number summary as follows;

The minimum value = 18

The maximum value = 25

  • The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, <u>22}</u> = The (9 + 1)/2 th term

∴ Quartile 1 = Q₁ = 5th term = 21

  • The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2

Quartile 2 = 22

  • The third quartile = The middle number of the upper half {<u>22</u>, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23

Quartile 3 = 23

Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

Learn more about box and whiskers, and dot plots here;

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7 0
3 years ago
Consider an unreliable communication channel that can successfully send a message with probability 1/2, or otherwise, the messag
Anon25 [30]

Answer:

6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

Step-by-step explanation:

Consider the provided information.

Let x is the number of times massage received.

It is given that the probability of successfully is 1/2.

Thus p = 1/2 and q = 1/2

We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.

According to the binomial distribution:

P(X=x)=\frac{n!}{r!(n-r)!}p^rq^{n-r}

We want message is received at least once. This can be written as:

P(X\geq 1)=1-P(x=0)

The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.

\frac{63}{64}=1-\frac{n!}{0!(n-0)!}\frac{1}{2}^0\frac{1}{2}^{n-0}

\frac{63}{64}=1-\frac{n!}{n!}\frac{1}{2}^{n}

\frac{63}{64}=1-\frac{1}{2}^{n}

\frac{1}{2}^{n}=1-\frac{63}{64}

\frac{1}{2}^{n}=\frac{1}{64}

By comparing the value number we find that the value of n should be 6.

Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

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