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Evgesh-ka [11]
3 years ago
5

Enter the values to complete the statement. To determine whether (−1,4) (−1,4) is a solution to the equation 3x+8y=29 3x+8y=29 ,

substitute for x and and for y
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
<span>To determine whether (−1,4) is a solution to the equation 3x+8y=29, substitute  ...-1... for x and ...4... and for y.


In a pair of values like (-1, 4), the first coordinate, or entry, occupied by -1 always represents x.

Similarly, the second coordinate occupied by 4 represents y.


Answer: </span>substitute  ...-1... for x and ...4... and for y.
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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
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Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

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The amount ofmoney is in the ratio 8:3 if the first amount is 9.92 what is the second amount?
BARSIC [14]

Answer:

The second amount is 3.72

Step-by-step explanation:

Given

First : Second = 8 : 3

First = 9.92

Required

Find Second

First : Second = 8 : 3

Substitute 9.92 for First

9.92: Second = 8 : 3

Express as fraction

\frac{Second}{9.92} = \frac{3}{8}

Multiply both sides by 9.92

9.92 * \frac{Second}{9.92} = \frac{3}{8}*9.92

Second = \frac{3}{8}*9.92

Second = 3.72

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