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Pavlova-9 [17]
3 years ago
6

Solve the following problems. Draw a picture and write the number sentence that proves the answer. Simplify your answer if possi

ble. Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down. How far did he travel

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:\dfrac{11}{12}

Step-by-step explanation:

Given that Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down.

The total distance he travelled will be the sum of distance he jogged and the distance he walked.

So,the total distance he travelled is \frac{3}{4}+\frac{1}{6} =\frac{9}{12}+\frac{2}{12}=\frac{11}{12} miles.

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Answer: It is 7

Step-by-step explanation:

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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
alexdok [17]

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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3 years ago
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Luke has $21 more than Rachel and $48 more than Daniel. All together they have $
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This can be solve by 3 variable equation
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On any particular Saturday evening, the probability that Hannah will go to the movies and go for a coffee is 1/3. The probabilit
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